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 - Tinbergen Institute Amsterdam (TIA)

Gustav Mahlerplein 117

Amsterdam, 1082 MS

Netherlands

SCHOLARLY PAPERS

63

DOWNLOADS
Rank 18,080

SSRN RANKINGS

Top 18,080

in Total Papers Downloads

2,639

SSRN CITATIONS
Rank 11,788

SSRN RANKINGS

Top 11,788

in Total Papers Citations

28

CROSSREF CITATIONS

48

Scholarly Papers (63)

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 316 (95,359)
Citation 1

Abstract:

Loading...

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 152 (193,612)
Citation 1

Abstract:

Loading...

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

3.

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 82 (301,102)
Citation 4

Abstract:

Loading...

communication, hierarchy, cooperative game, feasible set

4.

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 78 (310,075)
Citation 2

Abstract:

Loading...

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

5.

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 72 (324,613)
Citation 2

Abstract:

Loading...

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

6.

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 69 (332,285)
Citation 2

Abstract:

Loading...

Symmetric networks, network power, stationary power distribution, beta-measure, degree measure

7.

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 69 (332,285)
Citation 2

Abstract:

Loading...

Cooperative games, Hierarchies, Social situations, Authority

8.

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 68 (334,924)
Citation 1

Abstract:

Loading...

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

9.

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 66 (340,235)
Citation 2

Abstract:

Loading...

Shapley value, Equal division solution, Egalitarian Shapley value, Reduced Game Consistency, Monotonicity, Implementation

10.

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 64 (345,742)
Citation 1

Abstract:

Loading...

TU-game, Harsanyi dividends, Shapley value,

11.

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 63 (348,528)
Citation 1

Abstract:

Loading...

Polluted river, cost sharing, axiomatization, permission values

12.

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 63 (348,528)
Citation 4

Abstract:

Loading...

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

13.

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 63 (348,528)
Citation 5

Abstract:

Loading...

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

14.

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 61 (354,212)
Citation 1

Abstract:

Loading...

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

15.

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 61 (354,212)

Abstract:

Loading...

Decision analysis, Weighted directed graph, Ranking method

16.

A Value for Directed Communication Situations

Tinbergen Institute Discussion Paper No. 2008-006/1
Number of pages: 31 Posted: 23 Jan 2008
Universidad Complutense de Madrid (UCM), Universidad Complutense de Madrid, Universidad Complutense de Madrid (UCM) and VU University Amsterdam - Department of Economics
Downloads 59 (360,047)
Citation 5

Abstract:

Loading...

Myerson value, Digraph communication situations

17.

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 59 (360,047)
Citation 1

Abstract:

Loading...

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

18.

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 59 (360,047)
Citation 5

Abstract:

Loading...

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

19.

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 55 (372,556)

Abstract:

Loading...

Hierarchy, cooperative production, optimal firm size, positional wages

20.

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 52 (382,135)
Citation 2

Abstract:

Loading...

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

21.

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 52 (382,135)
Citation 1

Abstract:

Loading...

Null players, zero players, Shapley value, egalitarian solution, strong monotonicity, coalitional monotonicity, auction games

22.

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 51 (385,481)
Citation 1

Abstract:

Loading...

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

23.

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 48 (395,674)

Abstract:

Loading...

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

24.

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 46 (402,691)
Citation 2

Abstract:

Loading...

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

25.

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 44 (409,892)
Citation 1

Abstract:

Loading...

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

26.

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 44 (409,892)
Citation 1

Abstract:

Loading...

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

27.

Independence Axioms for Water Allocation

Tinbergen Institute Discussion Paper 11-128/1
Number of pages: 33 Posted: 10 Sep 2011
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 43 (413,611)
Citation 3

Abstract:

Loading...

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

28.

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 39 (429,046)
Citation 1

Abstract:

Loading...

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

29.

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 38 (433,145)

Abstract:

Loading...

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

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
VU University Amsterdam - Department of Economics, Maastricht University, Vrije Universiteit Amsterdam, School of Business and Economics and Tilburg University - Department of Econometrics & Operations Research
Downloads 21 (534,350)

Abstract:

Loading...

TU game, restricted cooperation, permission structure, Shapley value

The Average Tree Permission Value for Games with a Permission Tree

Number of pages: 25 Posted: 09 Feb 2013
VU University Amsterdam - Department of Economics, Maastricht University, Vrije Universiteit Amsterdam, School of Business and Economics and Tilburg University - Department of Econometrics & Operations Research
Downloads 10 (607,960)

Abstract:

Loading...

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

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
VU University Amsterdam - Department of Economics, Maastricht University, Vrije Universiteit Amsterdam, School of Business and Economics and Tilburg University - Department of Econometrics & Operations Research
Downloads 6 (636,261)
Citation 1

Abstract:

Loading...

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

31.

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 36 (441,296)
Citation 1

Abstract:

Loading...

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

32.

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 29 (472,936)
Citation 1

Abstract:

Loading...

success, satisfaction, luck, power

33.

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 29 (472,936)

Abstract:

Loading...

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

34.

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 28 (477,985)
Citation 2

Abstract:

Loading...

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

35.

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 28 (477,985)

Abstract:

Loading...

cooperative games, coalition structures, graphs, Shapley value

36.

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 28 (477,985)
Citation 4

Abstract:

Loading...

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

37.

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 28 (477,985)
Citation 3

Abstract:

Loading...

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

38.

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 25 (494,004)

Abstract:

Loading...

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

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 24 (499,655)
Citation 1

Abstract:

Loading...

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

40.

An Efficient and Fair Solution for Communication Graph Games

Tinbergen Institute Discussion Paper 11-052/1
Number of pages: 14 Posted: 19 Mar 2011
René van den Brink, Anna Khmelnitskaya and Gerard van der Laan
VU University Amsterdam - Department of Economics, St.-Petersburg State University and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 23 (505,176)
Citation 1

Abstract:

Loading...

TU game, communication graph, Myerson value, fairness, efficiency

41.

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 23 (505,176)

Abstract:

Loading...

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

42.

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 23 (505,176)
Citation 2

Abstract:

Loading...

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

43.

An Owen-Type Value for Games with Two-Level Communication Structures

Tinbergen Institute Discussion Paper 11-089/1
Number of pages: 24 Posted: 23 Jun 2011
René van den Brink, Anna Khmelnitskaya and Gerard van der Laan
VU University Amsterdam - Department of Economics, St.-Petersburg State University and Vrije Universiteit Amsterdam, School of Business and Economics
Downloads 21 (516,939)

Abstract:

Loading...

TU game, coalition structure, communication graph, Owen value, Myerson value

44.

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 20 (522,763)

Abstract:

Loading...

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

45.

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 20 (522,763)

Abstract:

Loading...

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

46.

From Hierarchies to Levels: New Solutions for Games

Tinbergen Institute Discussion Paper 15-072/II
Number of pages: 49 Posted: 02 Jun 2015
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 ETH Zürich - CER-ETH - Center of Economic Research at ETH Zurich
Downloads 19 (528,674)
Citation 1

Abstract:

Loading...

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

47.

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
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 ETH Zürich - CER-ETH - Center of Economic Research at ETH Zurich
Downloads 19 (528,674)
Citation 37

Abstract:

Loading...

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

48.

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 19 (528,674)

Abstract:

Loading...

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

49.

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 19 (528,674)
Citation 1

Abstract:

Loading...

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

50.

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, China, VU University Amsterdam - Department of Economics, Vrije Universiteit Amsterdam, School of Business and Economics and Northwestern Polytechnical University, China
Downloads 19 (528,674)
Citation 1

Abstract:

Loading...

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

51.

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
University of Seville, University of Seville, VU University Amsterdam - Department of Economics and University of Seville
Downloads 17 (540,440)

Abstract:

Loading...

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

52.

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
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 ETH Zürich - CER-ETH - Center of Economic Research at ETH Zurich
Downloads 16 (546,307)
Citation 1

Abstract:

Loading...

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

53.

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 14 (558,282)
Citation 1

Abstract:

Loading...

Queueing problem, minimal transfer rule, maximal transfer rule, Shapley value, bidding mechanism, implementation

54.

Order Monotonic Solutions for Generalized Characteristic Functions

Tinbergen Institute Discussion Paper TI 13-093/II
Number of pages: 23 Posted: 19 Jul 2013
VU University Amsterdam - Department of Economics, Universidad Complutense de Madrid (UCM), Universidad Complutense de Madrid and Universidad Carlos III de Madrid
Downloads 13 (564,397)

Abstract:

Loading...

Cooperative TU-game, generalized characteristic function, order monotonicity

55.

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, China
Downloads 12 (570,792)

Abstract:

Loading...

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

56.

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 9 (589,662)

Abstract:

Loading...

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

57.

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, China, VU University Amsterdam - Department of Economics, Northwestern Polytechnical University, China, Northwestern Polytechnical University, China and Beijing Institute of Technology
Downloads 5 (615,945)

Abstract:

Loading...

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

58.

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

Abstract:

Loading...

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

59.

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

Abstract:

Loading...

60.

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

Abstract:

Loading...

61.

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

Abstract:

Loading...

62.

Axiomatizations of the Normalized Banzhaf Value and the Shapley Value

Social Choice and Welfare, Vol. 15, Iss. 4, August 1998
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

Abstract:

Loading...

63.

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

Abstract:

Loading...