René van den Brink

VU University Amsterdam - Department of Economics

De Boelelaan 1105

1081 HV Amsterdam

Netherlands

Tinbergen Institute

Burg. Oudlaan 50

Rotterdam, 3062 PA

Netherlands

Tinbergen Institute

Gustav Mahlerplein 117

Amsterdam, 1082 MS

Netherlands

  • VU University Amsterdam - Department of Economics

  • Tinbergen Institute

  • Tinbergen Institute

SCHOLARLY PAPERS

65

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Scholarly Papers (65)

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1.

Values and Governance Systems

CentER Working Paper No. 1999-66
Number of pages: 27 Posted: 08 Feb 2000
Pieter H. M. Ruys, René van den Brink and Radislav Semenov
Tilburg University - CentER, VU University Amsterdam - Department of Economics and Radboud University Nijmegen - Department of Economics
Downloads 341 (153,550)
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2.

Positional Power in Hierarchies

Tinbergen Institute Discussion Paper No. 07-038/1
Number of pages: 29 Posted: 08 May 2007
René van den Brink and Frank Steffen
VU University Amsterdam - Department of Economics and University of Bayreuth - Faculty of Law, Business and Economics
Downloads 176 (291,812)
Citation 1

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hierarchies, decision-making mechanism, power, positional power, power measure

3.

Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games

Tinbergen Institute Discussion Paper 09-108/1
Number of pages: 28 Posted: 27 Nov 2009
René van den Brink
VU University Amsterdam - Department of Economics
Downloads 107 (431,341)
Citation 6

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Cooperative TU-game, communication structure, Myerson value, Shapley value, Banzhaf value, hierarchical outcome, average tree solution, component efficiency, collusion neutrality

4.

The Average Tree Permission Value for Games with a Permission Tree

Downloads 106 (434,258)
Citation 4

The Average Tree Permission Value for Games with a Permission Tree

CentER Discussion Paper Series No. 2013-001
Number of pages: 25 Posted: 12 Jan 2013
René van den Brink, P. Jean-Jacques Herings, Gerard van der Laan and Dolf Talman
VU University Amsterdam - Department of Economics, Tilburg University, Vrije Universiteit Amsterdam, School of Business and Economics and Tilburg University - Department of Econometrics & Operations Research
Downloads 39 (749,416)
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TU game, restricted cooperation, permission structure, Shapley value

The Average Tree Permission Value for Games with a Permission Tree

Tinbergen Institute Discussion Paper 13-023/II
Number of pages: 26 Posted: 25 Jan 2013
René van den Brink, P. Jean-Jacques Herings, Gerard van der Laan and Dolf Talman
VU University Amsterdam - Department of Economics, Tilburg University, Vrije Universiteit Amsterdam, School of Business and Economics and Tilburg University - Department of Econometrics & Operations Research
Downloads 36 (772,102)
Citation 1

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TU game, restricted cooperation, permission structure, Shapley value, Average Tree value, axiomatization

The Average Tree Permission Value for Games with a Permission Tree

Number of pages: 25 Posted: 09 Feb 2013
René van den Brink, P. Jean-Jacques Herings, Gerard van der Laan and Dolf Talman
VU University Amsterdam - Department of Economics, Tilburg University, Vrije Universiteit Amsterdam, School of Business and Economics and Tilburg University - Department of Econometrics & Operations Research
Downloads 31 (812,448)

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TU game, restricted cooperation, permission structure, Shapley value, Average Tree value, axiomatization

5.

Measuring Power and Satisfaction in Societies with Opinion Leaders: Properties of the Qualified Majority Case

Groupe d'Analyse et de Théorie Économique (GATE) Working Paper No. 09-01
Number of pages: 22 Posted: 28 Jan 2009 Last Revised: 15 Apr 2011
René van den Brink, Agnieszka Rusinowska and Frank Steffen
VU University Amsterdam - Department of Economics, University of Lyon 2 - Groupe d'Analyse et de Théorie Economique (GATE) and University of Liverpool - Management School (ULMS)
Downloads 98 (458,566)
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Bipartite digraph, influence, inclination, collective choice, opinion leader, follower, satisfaction, power

6.

On Hierarchies and Communication

Tinbergen Institute Discussion Paper No. 06-056/1
Number of pages: 21 Posted: 14 Jul 2006
René van den Brink
VU University Amsterdam - Department of Economics
Downloads 98 (458,566)
Citation 5

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communication, hierarchy, cooperative game, feasible set

7.

Distributing Dividends in Games with Ordered Players

Tinbergen Institute Discussion Paper No. 06-114/1
Number of pages: 26 Posted: 04 Jan 2007
René van den Brink, Gerard van der Laan and Valeri A. Vasil'ev
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Sobolev Institute of Mathematics
Downloads 93 (474,484)
Citation 3

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TU-game, Harsanyi dividends, Shapley value, Harsanyi set, Selectope, digraph

8.

Null or Zero Players: The Difference between the Shapley Value and the Egalitarian Solution

Tinbergen Institute Discussion Paper No. TI 04-127/1
Number of pages: 18 Posted: 11 Dec 2004
René van den Brink
VU University Amsterdam - Department of Economics
Downloads 91 (481,079)
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Null players, zero players, Shapley value, egalitarian solution, strong monotonicity, coalitional monotonicity, auction games

9.

Harsanyi Solutions in Line-Graph Games

Tinbergen Institute Discussion Paper No. 2003-076/1
Number of pages: 37 Posted: 04 Nov 2003
René van den Brink, Gerard van der Laan and Valeri A. Vasil'ev
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Sobolev Institute of Mathematics
Downloads 89 (487,697)
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TU-game, Harsanyi dividends, Shapley value,

10.

Consistency, Monotonicity and Implementation of Egalitarian Shapley Values

TI Discussion Paper No. 07-062/1
Number of pages: 26 Posted: 29 Aug 2007
René van den Brink, Yukihiko Funaki and Yuan Ju
VU University Amsterdam - Department of Economics, Waseda University, School of Political Science and Economics and University of York
Downloads 88 (491,168)
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Shapley value, Equal division solution, Egalitarian Shapley value, Reduced Game Consistency, Monotonicity, Implementation

11.

The Outflow Ranking Method for Weighted Directed Graphs

Tinbergen Institute Discussion Paper No. 06-044/1
Number of pages: 14 Posted: 18 May 2006
René van den Brink and Robert P. Gilles
VU University Amsterdam - Department of Economics and Queen's University Management School
Downloads 87 (494,629)
Citation 1

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Decision analysis, Weighted directed graph, Ranking method

12.

Axiomatizations of a Positional Power Score and Measure for Hierarchies

Tinbergen Institute Discussion Paper 08-115/1
Number of pages: 27 Posted: 25 Nov 2008
René van den Brink and Frank Steffen
VU University Amsterdam - Department of Economics and University of Bayreuth - Faculty of Law, Business and Economics
Downloads 85 (501,837)
Citation 2

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hierarchies, decision-making mechanism, power, positional power, power score, power measure, binary voting, axiomatization

13.

Characterizations of Network Power Measures

Tinbergen Institute Discussion Paper No. TI 05-061/1
Number of pages: 14 Posted: 17 Jun 2005
René van den Brink, Peter Borm, Ruud Hendrickx and Guillermo Owen
VU University Amsterdam - Department of Economics, Tilburg University - Center for Economic Research (CentER), Tilburg University - Center for Economic Research (CentER) and Naval Postgraduate School
Downloads 85 (501,837)
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Symmetric networks, network power, stationary power distribution, beta-measure, degree measure

14.

Axiomatization and Implementation of Discounted Shapley Values

Tinbergen Institute Discussion Paper 10-065/1
Number of pages: 21 Posted: 09 Jul 2010
René van den Brink and Yukihiko Funaki
VU University Amsterdam - Department of Economics and Waseda University, School of Political Science and Economics
Downloads 84 (505,444)
Citation 5

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Cooperative TU-game, Shapley value, equal division solution, delta-discounted Shapley value, Axiomatization, Implementation, Discounting

15.

A Value for Directed Communication Situations

Tinbergen Institute Discussion Paper No. 2008-006/1
Number of pages: 31 Posted: 23 Jan 2008
Enrique Gonzalez-Aranguena, Conrado Manuel, Daniel Gomez and René van den Brink
Universidad Complutense de Madrid (UCM), Universidad Complutense de Madrid, Universidad Complutense de Madrid (UCM) and VU University Amsterdam - Department of Economics
Downloads 84 (505,444)
Citation 6

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Myerson value, Digraph communication situations

16.

Harsanyi Power Solutions for Graph-Restricted Games

Tinbergen Institute Discussion Paper Series No. TI 04-095/1
Number of pages: 37 Posted: 02 Sep 2004
René van den Brink, Gerard van der Laan and Vitaly Pruzhansky
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 84 (505,444)
Citation 7

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Cooperative TU-game, Harsanyi dividend, communication structure, power measure, position value, Myerson value, assignment games, auction games

17.

The Balanced Solution for Cooperative Transferable Utility Games

Tinbergen Institute Discussion Paper No. 07-073/1, Jena Economic Research Paper No. 2007-073
Number of pages: 28 Posted: 16 Oct 2007
René van den Brink, Rene Levinsky and Miroslav Zeleny
VU University Amsterdam - Department of Economics, Max Planck Society for the Advancement of the Sciences - Max Planck Institute for Economics and Charles University in Prague - Faculty of Mathematics and Physics
Downloads 81 (516,477)
Citation 1

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Balanced solution, Proportionality, Reduced game consistency, Weighted Shapley value

18.

Axiomatizations of a Class of Equal Surplus Sharing Solutions for Cooperative Games with Transferable Utility

Tinbergen Institute Discussion Paper No. TI 04-136/1
Number of pages: 32 Posted: 08 Jan 2005
René van den Brink and Yukihiko Funaki
VU University Amsterdam - Department of Economics and Waseda University, School of Political Science and Economics
Downloads 81 (516,477)
Citation 6

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TU-game, equal surplus sharing, CIS-value, ENSC-value, Egalitarian solution, reduced game consistency

19.

Explicit and Latent Authority in Hierarchical Organizations

Tinbergen Institute Discussion Paper No. 2003-102/1
Number of pages: 42 Posted: 08 Jun 2004
René van den Brink and Robert P. Gilles
VU University Amsterdam - Department of Economics and Queen's University Management School
Downloads 81 (516,477)
Citation 2

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Cooperative games, Hierarchies, Social situations, Authority

20.

Polluted River Problems and Games with a Permission Structure

Tinbergen Institute Discussion Paper 15-108/II
Number of pages: 43 Posted: 19 Sep 2015
René van den Brink, Simin He and Jia-Ping Huang
VU University Amsterdam - Department of Economics, Shanghai University of Finance and Economics - School of Economics and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 79 (524,135)
Citation 5

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Polluted river, cost sharing, axiomatization, permission values

21.

On Axiomatizations of the Shapley Value for Assignment Games

Tinbergen Institute Discussion Paper No. 12-092/II
Number of pages: 22 Posted: 18 Sep 2012
René van den Brink and Miklós Pintér
VU University Amsterdam - Department of Economics and Corvinus University of Budapest
Downloads 79 (524,135)
Citation 3

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assignment game, Shapley value, communication graph game, submarket efficiency, valuation fairness

22.

Two Values for Transferable Utility Games with Coalition and Graph Structure

Tinbergen Institute Discussion Paper No. 11-164/1
Number of pages: 28 Posted: 18 Nov 2011
René van den Brink, Gerard van der Laan and Nigel Moes
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and VU University Amsterdam - Department of Econometrics and Operations Research
Downloads 73 (548,398)

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cooperative games, coalition structures, graphs, Shapley value

23.

Fair Agreements for Sharing International Rivers with Multiple Springs and Externalities

Tinbergen Institute Discussion Paper 10-094/3
Number of pages: 37 Posted: 21 Sep 2010 Last Revised: 14 Nov 2010
René van den Brink, Gerard van der Laan and Nigel Moes
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and VU University Amsterdam - Department of Econometrics and Operations Research
Downloads 72 (552,616)
Citation 4

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water allocation, river game, externality, core, hierarchical outcome

24.

Measuring Power and Satisfaction in Societies with Opinion Leaders: Dictator and Opinion Leaders

Tinbergen Institute Discussion Paper 09-052/1
Number of pages: 22 Posted: 12 Jun 2009
René van den Brink, Agnieszka Rusinowska and Frank Steffen
VU University Amsterdam - Department of Economics, University of Lyon 2 - Groupe d'Analyse et de Théorie Economique (GATE) and University of Liverpool - Management School (ULMS)
Downloads 70 (561,163)
Citation 1

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Bipartite digraph, influence, inclination, collective choice, opinion leader, follower, satisfaction, power, dictator properties, opinion leader properties

25.

Technological Change, Wages and Firm Size

TILEC Discussion Paper Series No. 2005-022
Number of pages: 28 Posted: 15 Dec 2005
René van den Brink and Pieter H. M. Ruys
VU University Amsterdam - Department of Economics and Tilburg University - CentER
Downloads 68 (569,889)

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Hierarchy, cooperative production, optimal firm size, positional wages

26.

Independence Axioms for Water Allocation

Tinbergen Institute Discussion Paper 11-128/1
Number of pages: 33 Posted: 10 Sep 2011
René van den Brink, Arantza Estevez-Fernandez, Gerard van der Laan and Nigel Moes
VU University Amsterdam - Department of Economics, VU University Amsterdam - Department of Econometrics and Operations Research, Vrije Universiteit Amsterdam, School of Business and Economics and VU University Amsterdam - Department of Econometrics and Operations Research
Downloads 67 (574,381)
Citation 5

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water allocation, harmon doctrine, concave benefit function, stability, externality, independence axiom, water claim

27.

Positional Wages, Market Wages and Firm Size

Tinbergen Institute Discussion Paper No. TI 2005-020/1
Number of pages: 42 Posted: 29 Mar 2005
René van den Brink and Pieter H. M. Ruys
VU University Amsterdam - Department of Economics and Tilburg University - CentER
Downloads 66 (578,958)
Citation 1

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Optimal firm size, governance, hierarchy, internal organization structure, cooperative game, permission value, labor substitutability, general equilibrium

28.

Axiomatizations of Permission Values for Games with a Hierarchical Permission Structure Using Split Neutrality

Tinbergen Institute Discussion Paper No. TI 2003-100/1
Number of pages: 44 Posted: 08 Jun 2004
René van den Brink
VU University Amsterdam - Department of Economics
Downloads 66 (578,958)

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Cooperative game theory, hierarchical permission structure, Shapley value, Banzhaf value, split neutrality

29.

The V L Value for Network Games

CentER Discussion Paper No. 2005-65
Number of pages: 14 Posted: 17 May 2005
Ruud Hendrickx, Peter Borm, René van den Brink and Guillermo Owen
Tilburg University - Center for Economic Research (CentER), Tilburg University - Center for Economic Research (CentER), VU University Amsterdam - Department of Economics and Naval Postgraduate School
Downloads 65 (583,474)
Citation 2

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Undirected graph, network game, proper Shapley value, matrix game, optimal strategy

30.

Multi-Player Agents in Cooperative TU-Games

Tinbergen Institute Discussion Paper No. 12-001/1
Number of pages: 20 Posted: 03 Jan 2012
René van den Brink and Chris Dietz
VU University Amsterdam - Department of Economics and VU University Amsterdam
Downloads 60 (607,257)
Citation 1

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cooperative TU-game, Shapley value, multi-player agent, collusion neutrality, airport games

31.

Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization

Tinbergen Institute Discussion Paper 11-058/1
Number of pages: 29 Posted: 29 Mar 2011
René van den Brink, Agnieszka Rusinowska and Frank Steffen
VU University Amsterdam - Department of Economics, University of Lyon 2 - Groupe d'Analyse et de Théorie Economique (GATE) and University of Liverpool - Management School (ULMS)
Downloads 56 (627,957)

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Collective choice, follower, influence, opinion leader, power, satisfaction, axiomatization

32.

On the Extreme Points of Two Polytopes Associated with a Digraph and Applications to Cooperative Games

Tinbergen Institute Discussion Paper No. TI 2004-069/1
Number of pages: 24 Posted: 21 Jun 2004
René van den Brink, Gerard van der Laan and Valeri A. Vasil'ev
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Sobolev Institute of Mathematics
Downloads 56 (627,957)
Citation 1

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Polytope, directed graph, unit simplex, unit cube, cooperative game

33.

Axiomatizations of Two Types of Shapley Values for Games on Union Closed Systems

Tinbergen Institute Discussion Paper 09-064/1
Number of pages: 22 Posted: 17 Jul 2009
René van den Brink, Ilya V. Katsev and Gerard van der Laan
VU University Amsterdam - Department of Economics, Russian Academy of Sciences (RAS) - Saint Petersburg Institute for Economics and Mathmatics and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 54 (638,597)
Citation 5

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TU-game, restricted cooperation, union closed system, Shapley value, permission value, superior graph, axiomatization

34.

Efficiency and Collusion Neutrality of Solutions for Cooperative TU-Games

Tinbergen Institute Discussion Paper 09-065/1
Number of pages: 16 Posted: 25 Jul 2009
René van den Brink
VU University Amsterdam - Department of Economics
Downloads 53 (644,146)
Citation 4

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efficiency, collusion neutrality, Shapley value, Banzhaf value, equal division solution, impossibility

35.

Harsanyi Power Solutions for Games on Union Stable Systems

Tinbergen Institute Discussion Paper No. 11-182/1
Number of pages: 23 Posted: 23 Dec 2011
Encarnacion Algaba, Jesus-Mario Bilbao and René van den Brink
University of Seville, University of Seville and VU University Amsterdam - Department of Economics
Downloads 52 (649,711)
Citation 5

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cooperative TU-game, union stable system, Harsanyi dividend, power measure, Harsanyi power solution, Myerson value, position value

36.

On the Measurement of Success and Satisfaction

Tinbergen Institute Discussion Paper No. 12-030/1
Number of pages: 29 Posted: 28 Mar 2012
René van den Brink and Frank Steffen
VU University Amsterdam - Department of Economics and University of Bayreuth - Faculty of Law, Business and Economics
Downloads 49 (666,597)
Citation 2

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success, satisfaction, luck, power

37.

An Algorithm for Computing the Nucleolus of Disjunctive Additive Games with an Acyclic Permission Structure

Tinbergen Institute Discussion Paper No. 08-104/1
Number of pages: 31 Posted: 09 Nov 2008
René van den Brink, Ilya V. Katsev and Gerard van der Laan
VU University Amsterdam - Department of Economics, Russian Academy of Sciences (RAS) - Saint Petersburg Institute for Economics and Mathmatics and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 49 (666,597)

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TU-game, additive game, acyclic permission structure, disjunctive approach, peer group game, nucleolus, algorithm, complexity

38.

Balanced Consistency and Balanced Cost Reduction for Sequencing Problems

Tinbergen Institute Discussion Paper 10-035/1
Number of pages: 21 Posted: 26 Mar 2010
René van den Brink and Youngsub Chun
VU University Amsterdam - Department of Economics and Seoul National University
Downloads 45 (690,925)
Citation 1

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Sequencing problem, minimal transfer rule, balanced consistency, balanced cost reduction

39.

The Restricted Core for Totally Positive Games with Ordered Players

Tinbergen Institute Discussion Paper 09-038/1
Number of pages: 31 Posted: 05 Aug 2009
René van den Brink, Gerard van der Laan and Valeri A. Vasil'ev
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Sobolev Institute of Mathematics
Downloads 45 (690,925)
Citation 1

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Totally positive TU-game, Harsanyi dividends, Core, Shapley value, Harsanyi set, Selectope, Digraph, River game

40.

Computation of the Nucleolus for a Class of Disjunctive Games with a Permission Structure

Tinbergen Institute Dissusion Paper No. TI 08-060/1
Number of pages: 30 Posted: 24 Jun 2008
René van den Brink, Ilya V. Katsev and Gerard van der Laan
VU University Amsterdam - Department of Economics, Russian Academy of Sciences (RAS) - Saint Petersburg Institute for Economics and Mathmatics and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 45 (690,925)
Citation 1

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TU-game, nucleolus, game with permission structure, peer group game, information market game, algorithm, complexity

41.

A Strategic Implementation of the Average Tree Solution for Cycle-Free Graph Games

Tinbergen Institute Discussion Paper 12-050/1
Number of pages: 19 Posted: 08 May 2012
René van den Brink, Gerard van der Laan and Nigel Moes
VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and VU University Amsterdam - Department of Econometrics and Operations Research
Downloads 44 (697,260)

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implementation, cycle-free graph game, tree game, hierarchical outcome, average tree solution, weighted hierarchical outcome

42.

The Degree Ratio Ranking Method for Directed Networks

Tinbergen Institute Discussion Paper 2019-026/II
Number of pages: 27 Posted: 06 May 2019
René van den Brink and Agnieszka Rusinowska
VU University Amsterdam - Department of Economics and University of Lyon 2 - Groupe d'Analyse et de Théorie Economique (GATE)
Downloads 42 (710,110)

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ranking method, degree ratio, Copeland score, directed graph, network, outdegree, indegree, axiomatization

43.

Cooperative Games on Accessible Union Stable Systems

Tinbergen Institute Discussion Paper 13-207/II
Number of pages: 37 Posted: 20 Dec 2013
Encarnacion Algaba, René van den Brink and Chris Dietz
University of Seville, VU University Amsterdam - Department of Economics and VU University Amsterdam
Downloads 42 (710,110)
Citation 2

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union stable system, accessibility, cooperative TU-game, Shapley value

44.

Games with a Local Permission Structure: Separation of Authority and Value Generation

Tinbergen Institute Discussion Paper 12-126/II
Number of pages: 26 Posted: 27 Nov 2012
René van den Brink and Chris Dietz
VU University Amsterdam - Department of Economics and VU University Amsterdam
Downloads 42 (710,110)
Citation 2

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Cooperative TU-game, peer group game, digraph game, game with a permission structure, local permission structure

45.

Games on Union Closed Systems

Tinbergen Institute Discussion Paper 11-036/1
Number of pages: 24 Posted: 16 Feb 2011
René van den Brink, Ilya V. Katsev and Gerard van der Laan
VU University Amsterdam - Department of Economics, Russian Academy of Sciences (RAS) - Saint Petersburg Institute for Economics and Mathmatics and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 42 (710,110)

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TU-game, restricted cooperation, union closed system, core, prekernel, nucleolus

46.

Associated Consistency Characterization of Two Linear Values for Tu Games by Matrix Approach

Tinbergen Institute Discussion Paper 12-105/II
Number of pages: 22 Posted: 09 Oct 2012
Genjiu Xu, René van den Brink, Gerard van der Laan and Hao Sun
Northwestern Polytechnical University, VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Northwestern Polytechnical University
Downloads 41 (716,904)
Citation 1

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TU games, Shapley value, EANS-value, CIS-value, associated consistency, matrix approach

47.

The Myerson Value and Superfluous Supports in Union Stable Systems

Tinbergen Institute Discussion Paper No. 2011-127/1
Number of pages: 22 Posted: 09 Sep 2011
Encarnacion Algaba, Jesus-Mario Bilbao, René van den Brink and Jorge J. Lopez
University of Seville, University of Seville, VU University Amsterdam - Department of Economics and University of Seville
Downloads 38 (737,570)
Citation 4

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Conference game, restricted game, union stable system, Myerson value, superfluous support property

48.

From Hierarchies to Levels: New Solutions for Games

Tinbergen Institute Discussion Paper 15-072/II
Number of pages: 49 Posted: 02 Jun 2015
Mikel Alvarez-Mozos, René van den Brink, Gerard van der Laan and Oriol Tejada
University of Barcelona - Department of Actuarial, Financial and Economic Mathematics, VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Universitat de Barcelona
Downloads 37 (744,639)
Citation 2

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TU-game; hierarchical structure; levels structure; Shapley Value; axiomatization

49.

From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure

CER-ETH – Center of Economic Research at ETH Zurich, Working Paper 15/215
Number of pages: 51 Posted: 15 May 2015
Mikel Alvarez-Mozos, René van den Brink, Gerard van der Laan and Oriol Tejada
University of Barcelona - Department of Actuarial, Financial and Economic Mathematics, VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Universitat de Barcelona
Downloads 35 (759,062)
Citation 38

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TU-game, hierarchical structure, levels structure, Shapley Value, axiomatization

50.

Comparable Characterizations of Four Solutions for Permission Tree Games

Tinbergen Institute Discussion Paper 15-021/II
Number of pages: 26 Posted: 11 Feb 2015
René van den Brink, Chris Dietz, Gerard van der Laan and Genjiu Xu
VU University Amsterdam - Department of Economics, VU University Amsterdam, Vrije Universiteit Amsterdam, School of Business and Economics and Northwestern Polytechnical University
Downloads 34 (766,540)
Citation 3

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Cooperative TU-game, rooted tree, Myerson value, hierarchical outcome, permission value, axiomatization

51.

Players Indifferent to Cooperate and Characterizations of the Shapley Value

Tinbergen Institute Discussion Paper 12-036/1
Number of pages: 17 Posted: 16 Apr 2012
Conrado Manuel, Enrique Gonzalez-Aranguena and René van den Brink
Universidad Complutense de Madrid, Universidad Complutense de Madrid (UCM) and VU University Amsterdam - Department of Economics
Downloads 33 (774,137)

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TU-game, Shapley value, axiomatization, indifferent players, weighted Shapley values

52.

Axiomatizations of the Proportional Division Value

Tinbergen Institute Discussion Paper 2019-072/II
Number of pages: 39 Posted: 12 Nov 2019
Zhengxing Zou, René van den Brink, Youngsub Chun and Yukihiko Funaki
Beijing Jiaotong University, VU University Amsterdam - Department of Economics, Seoul National University - School of Economics and Waseda University, School of Political Science and Economics
Downloads 32 (781,718)
Citation 5

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cooperative game, proportional division value, monotonicity, consistency

53.

Share Functions for Cooperative Games with Levels Structure of Cooperation

Tinbergen Institute Discussion Paper No. 12-052/1
Number of pages: 36 Posted: 14 May 2012
Mikel Alvarez-Mozos, René van den Brink, Gerard van der Laan and Oriol Tejada
University of Barcelona - Department of Actuarial, Financial and Economic Mathematics, VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Universitat de Barcelona
Downloads 31 (789,610)
Citation 1

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cooperative game, Shapley value, coalition structure, share functions, levels structure of cooperation

54.

The Alpha-Constant-Sum Games

Tinbergen Institute Discussion Paper 2019-022/II
Number of pages: 22 Posted: 05 Apr 2019
Wenna Wang, René van den Brink, Hao Sun, Genjiu Xu and Zhengxing Zou
Northwestern Polytechnical University, VU University Amsterdam - Department of Economics, Northwestern Polytechnical University, Northwestern Polytechnical University and Beijing Jiaotong University
Downloads 30 (797,574)

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alpha-constant-sum game, alpha-quasi-Shapley value, threat game, constant-sum-game

55.

Order Monotonic Solutions for Generalized Characteristic Functions

Tinbergen Institute Discussion Paper TI 13-093/II
Number of pages: 23 Posted: 19 Jul 2013
René van den Brink, Enrique Gonzalez-Aranguena, Conrado Manuel and Mónica del Pozo
VU University Amsterdam - Department of Economics, Universidad Complutense de Madrid (UCM), Universidad Complutense de Madrid and Charles III University of Madrid
Downloads 30 (797,574)

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Cooperative TU-game, generalized characteristic function, order monotonicity

56.

Compromising between the Proportional and Equal Division Values: Axiomatization, Consistency and Implementation

Tinbergen Institute Discussion Paper 2020-054/II
Number of pages: 36 Posted: 20 Oct 2020
Zhengxing Zou, René van den Brink and Yukihiko Funaki
Beijing Jiaotong University, VU University Amsterdam - Department of Economics and Waseda University, School of Political Science and Economics
Downloads 27 (821,969)
Citation 1

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cooperative game, consistency, equal division value, proportional division value

57.

Auctioning and Selling Positions: A Non-Cooperative Approach to Queuing Conflicts

Tinbergen Institute Discussion Papers 14-016/II
Number of pages: 31 Posted: 31 Jan 2014
René van den Brink, Youngsub Chun and Yuan Ju
VU University Amsterdam - Department of Economics, Seoul National University - School of Economics and University of York
Downloads 26 (830,598)
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Queueing problem, minimal transfer rule, maximal transfer rule, Shapley value, bidding mechanism, implementation

58.

Sharing the Surplus and Proportional Values

Tinbergen Institute Discussion Paper 2020-014/II
Number of pages: 34 Posted: 19 Mar 2020
Zhengxing Zou and René van den Brink
Beijing Jiaotong University and VU University Amsterdam - Department of Economics
Downloads 19 (894,143)
Citation 2

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Cooperative Game, Proportional Value, Surplus Sharing, Axiomatization, Balanced Contributions

59.

Equal Loss under Separatorization and Egalitarian Values

Tinbergen Institute Discussion Paper 2020-043/II
Number of pages: 14 Posted: 20 Aug 2020
Zhengxing Zou and René van den Brink
Beijing Jiaotong University and VU University Amsterdam - Department of Economics
Downloads 14 (943,296)

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cooperative game, equal division value, equal surplus division value, axiomatization

60.

Power Measures and Solutions for Games Under Precedence Constraints

Tinbergen Institute Discussion Paper 15-007/II
Posted: 17 Jan 2015
Encarnacion Algaba, René van den Brink and Chris Dietz
University of Seville, VU University Amsterdam - Department of Economics and VU University Amsterdam

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Cooperative TU-game, acyclic digraph, hierarchical strength, irrelevant player, power measure, regular set system, rooted and sink trees

61.

Potentials and Reduced Games for Share Functions

Tilburg University, CentER Working Paper No. 1999-41
Posted: 24 Mar 2000
René van den Brink and Gerard van der Laan
VU University Amsterdam - Department of Economics and Vrije Universiteit Amsterdam, School of Business and Economics

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62.

Core Concepts for Share Vectors

Tilburg University, CentER Working Paper No. 1999-64
Posted: 24 Mar 2000
René van den Brink and Gerard van der Laan
VU University Amsterdam - Department of Economics and Vrije Universiteit Amsterdam, School of Business and Economics

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63.

Governance of Clubs and Firms with Cultural Dimensions

Tilburg University, Center for Economic Research (CentER) Working Paper No. 1999-101
Posted: 25 Feb 2000
René van den Brink, Pieter H. M. Ruys and Radislav Semenov
VU University Amsterdam - Department of Economics, Tilburg University - CentER and Radboud University Nijmegen - Department of Economics

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64.

Axiomatizations of the Normalized Banzhaf Value and the Shapley Value

Posted: 04 Oct 1998
René van den Brink and Gerard van der Laan
VU University Amsterdam - Department of Economics and Vrije Universiteit Amsterdam, School of Business and Economics

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65.

An Axiomatization of the Disjunctive Permission Value for Games with a Permission Structure

INTERNATIONAL JOURNAL OF GAME THEORY, Vol 26 No 1, 1997
Posted: 02 Jul 1997
René van den Brink
VU University Amsterdam - Department of Economics

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