Sascha Kurz

University of Bayreuth

Research assistant at the chair of Business Mathematics

Universitätsstr. 30

Lehrstuhl für Wirtschaftsmathematik

Bayreuth, Bavaria D-95440

Germany

http://www.wm.uni-bayreuth.de/index.php?id=sascha

SCHOLARLY PAPERS

49

DOWNLOADS

849

SSRN CITATIONS
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Top 12,720

in Total Papers Citations

25

CROSSREF CITATIONS

69

Ideas:
“  I'm currently working on subspace codes, divisible codes and limit results for power indices.  ”

Scholarly Papers (49)

1.

Optimal Opinion Control: The Campaign Problem

Number of pages: 47 Posted: 01 Nov 2014 Last Revised: 06 Mar 2015
University of Bayreuth, University of Bayreuth, University of Bayreuth, University of Bayreuth and University of Bayreuth
Downloads 72 (407,228)
Citation 8

Abstract:

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bounded-confidence, opinion dynamics, Hegselmann-Krause model, optimal control, campaigns

2.

Mostly Sunny: A Forecast of Tomorrow's Power Index Research

Homo Oeconomicus, 32(1):133–146
Number of pages: 14 Posted: 10 May 2014 Last Revised: 01 Dec 2015
University of Bayreuth, University of Bremen - Department of Economics, University of Bayreuth and University of St. Gallen - School of Finance
Downloads 72 (407,228)
Citation 4

Abstract:

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power index analysis, economic perspectives and methodology, committee voting, optimal voting rule

3.

Computing the Power Distribution in the IMF

Number of pages: 19 Posted: 07 Mar 2016
Sascha Kurz
University of Bayreuth
Downloads 55 (466,121)
Citation 4

Abstract:

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power indices, weighted voting games, International Monetary Fund, Shapley-Shubik index, Banzhaf index, empirical game theory

4.

Minimal Proper Non-IRUP Instances of the One-Dimensional Cutting Stock Problem

Number of pages: 14 Posted: 24 May 2014
Bashkir State Pedagogical University, UFA State Aviation Technical University, Dresden University of Technology and University of Bayreuth
Downloads 35 (556,409)
Citation 1

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bin packing problem, cutting stock problem, integer round-up property, equivalence of instances, branch and bound method, linear programming, weighted simple games

5.

The Golden Number and Fibonacci Sequences in the Design of Voting Structures

Number of pages: 24 Posted: 02 Feb 2014
Josep Freixas and Sascha Kurz
Polytechnic University of Catalonia (UPC) and University of Bayreuth
Downloads 27 (602,516)

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Game Theory, Voting systems, Complete Simple Games, Enumeration and Classification, Operational Research Structures

6.

Characterization of Threshold Functions: State of the Art, Some New Contributions and Open Problems

Number of pages: 23 Posted: 02 Mar 2016
Josep Freixas, Marc Freixas and Sascha Kurz
Polytechnic University of Catalonia (UPC), Independent and University of Bayreuth
Downloads 26 (609,005)
Citation 1

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switching functions, Boolean functions; linear separability problem; threshold functions; asummability conditions; simple games

7.

Optimal Control of the Convergence Time in the Hegselmann-Krause Dynamics

Number of pages: 14 Posted: 18 Nov 2014
Sascha Kurz
University of Bayreuth
Downloads 26 (609,005)
Citation 2

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opinion dynamics, Hegselmann-Krause model, convergence time, optimal control

8.

On the Inverse Power Index Problem

S. Kurz: On the inverse power index problem, Optimization, Vol. 61, Nr. 8 (2012), Pages 989-1011
Number of pages: 17 Posted: 06 Feb 2014
Sascha Kurz
University of Bayreuth
Downloads 24 (622,568)

Abstract:

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weighted voting game, simple game, complete simple game, Banzhaf index, Shapley-Shubik index, inverse problem

9.

On Minimum Sum Representations for Weighted Voting Games

S. Kurz: On minimum sum representations for weighted voting games, Annals of Operations Research, Volume 196, Nr 1 (2012), Pages 361-369
Number of pages: 7 Posted: 01 Dec 2013
Sascha Kurz
University of Bayreuth
Downloads 21 (643,521)
Citation 4

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weighted voting, integer representation, minimum sum representation

10.

How Long Does it Take to Consensus in the Hegselmann-Krause Model?

Number of pages: 2 Posted: 24 May 2014
Sascha Kurz
University of Bayreuth
Downloads 20 (650,588)

Abstract:

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opinion dynamics, bounded confidence, Hegselmann-Krause model, consensus, dynamical systems

11.

Ready for the Design of Voting Rules?

Number of pages: 10 Posted: 06 May 2014
Sascha Kurz
University of Bayreuth
Downloads 20 (650,588)

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voting power, power indices, inverse problem, design of voting rules, fair weights

12.

On α-Roughly Weighted Games

International Journal of Game Theory, Forthcoming
Number of pages: 26 Posted: 06 Feb 2014
Josep Freixas and Sascha Kurz
Polytechnic University of Catalonia (UPC) and University of Bayreuth
Downloads 19 (657,822)

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simple game, weighted majority game, complete simple game, roughly weighted game, voting theory, hierarchy

13.

Generalized Roll-Call Model for the Shapley-Shubik Index

Number of pages: 19 Posted: 13 Feb 2016 Last Revised: 08 Aug 2018
Sascha Kurz
University of Bayreuth
Downloads 18 (664,952)
Citation 3

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simple games, influence, Shapley-Shubik index, several levels of approval

14.

Key Drivers of EU Budget Allocation: Does Power Matter?

Number of pages: 32 Posted: 04 Dec 2015
University of Toulouse 1 - Toulouse School of Economics (TSE), University of Oviedo and University of Bayreuth
Downloads 18 (664,952)
Citation 1

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EU policies, budget allocation, political power, nucleolus, Shapley-Shubik index

15.

The Average Representation - A Cornucopia of Power Indices?

Number of pages: 10 Posted: 06 May 2014
Sascha Kurz and Serguei Kaniovski
University of Bayreuth and Austrian Institute of Economic Research (WIFO)
Downloads 18 (664,952)

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voting power, power indices, proportionality, weighted majority games, representations

16.

Measuring Voting Power in Convex Policy Spaces

Number of pages: 44 Posted: 21 Dec 2013
Sascha Kurz
University of Bayreuth
Downloads 18 (664,952)
Citation 3

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power, single peaked preferences, convex policy space, group decision making, Shapley-Shubik index, Banzhaf index, nucleolus, simple games, multiple levels of approval

17.

An Axiomatization of the Shapley-Shubik Index for Interval Decisions

Number of pages: 28 Posted: 03 Jul 2019
Sascha Kurz, Issofa Moyouwou and Hilaire Touyem
University of Bayreuth, University of Yaounde I and University of Yaounde I
Downloads 17 (672,171)
Citation 1

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Simple Games, Decisions With a Continuum of Options, Aggregation Functions, Power Indices, Shapley-Shubik Index

18.

Simple Games Versus Weighted Voting Games: Bounding the Critical Threshold Value

Number of pages: 10 Posted: 13 Nov 2018
University of Twente, University of Twente, University of Bayreuth, University of Waterloo and Durham University
Downloads 17 (672,171)
Citation 2

Abstract:

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simple game; weighted voting game; graphic simple game; complete simple game

19.

On the Construction of High Dimensional Simple Games

Number of pages: 13 Posted: 04 Feb 2016 Last Revised: 15 Jul 2016
Martin Olsen, Sascha Kurz and Xavier Molinero
Aarhus University, University of Bayreuth and Polytechnic University of Catalonia (UPC)
Downloads 17 (672,171)
Citation 3

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simple games, weighted games, dimension, coding theory, Hamming distance

20.

The Inverse Problem for Power Distributions in Committees

Number of pages: 46 Posted: 06 Feb 2014
Sascha Kurz
University of Bayreuth
Downloads 17 (672,171)
Citation 7

Abstract:

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simple games, weighted majority games, power indices

21.

Group Activity Selection Problem

A. Darmann, E. Elkind, J. Lang, S. Kurz, J. Schauer, G. Woeginger: Group Activity Selection Problem, Lecture Notes in Computer Science Vol. 7695 (2012), Pages 157-170
Number of pages: 13 Posted: 01 Feb 2014
University of Graz, Nanyang Technological University (NTU), University of Bayreuth, Université Paris Dauphine, University of Graz and Eindhoven University of Technology (TUE). Department of Mathematics
Downloads 17 (672,171)

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hedonic games, group decision making, complexity

22.

Which Criteria Qualify Power Indices for Applications? A Comment to 'The Story of the Poor Public Good Index'

Number of pages: 6 Posted: 02 Jan 2019
Sascha Kurz
University of Bayreuth
Downloads 16 (679,555)
Citation 1

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Public Good Index, Power Indices, Local Monotonicity, Selection Criteria

23.

On Minimum Integer Representations of Weighted Games

J. Freixas and S. Kurz: On minimum integer representations of weighted games, Mathematical Social Sciences Vol. 67 (2014), Pages 9-22
Number of pages: 29 Posted: 06 Feb 2014
Josep Freixas and Sascha Kurz
Polytechnic University of Catalonia (UPC) and University of Bayreuth
Downloads 16 (679,555)
Citation 2

Abstract:

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weighted games, minimum integer representations, representations with minimum sum

24.

On the Hegselmann-Krause Conjecture in Opinion Dynamics

S. Kurz and J. Rambau: On the Hegselmann-Krause conjecture in opinion dynamics, Journal of Difference Equations and Applications, Vol. 17, Nr. 6 (2011), Pages 859-876
Number of pages: 22 Posted: 07 May 2014
Sascha Kurz and Jörg Rambau
University of Bayreuth and University of Bayreuth
Downloads 15 (687,094)

Abstract:

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opinion dynamics, consensus/dissent bounded confidence, non linear dynamical systems

25.

Fair Representation and a Linear Shapley Rule

Number of pages: 21 Posted: 18 Oct 2016
Sascha Kurz, Nicola Maaser and Stefan Napel
University of Bayreuth, University of Bremen - Department of Economics and University of Bayreuth
Downloads 14 (694,807)

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Shapley value; institutional design; two-tier voting; collective choice; equal representation; random order values

26.

The Roll Call Interpretation of the Shapley Value

Number of pages: 11 Posted: 20 Aug 2018
Sascha Kurz and Stefan Napel
University of Bayreuth and University of Bayreuth
Downloads 13 (702,640)
Citation 3

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Shapley value, Shapley-Shubik index, roll call model, voting power

27.

Enumeration of Weighted Games with Minimum and an Analysis of Voting Power for Bipartite Complete Games with Minimum

Number of pages: 26 Posted: 06 Feb 2014
Josep Freixas and Sascha Kurz
Polytechnic University of Catalonia (UPC) and University of Bayreuth
Downloads 13 (702,640)

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simple game, weighted and complete games, enumerations, Shapley-Shubik power index, Banzhaf power index

28.

On Dedekind's Problem for Complete Simple Games

S. Kurz and N. Tautenhahn: On Dedekind's problem for complete simple games, International Journal of Game Theory, Vol. 42, Nr. 2 (2013), Pages 411-437
Number of pages: 13 Posted: 06 Feb 2014
Sascha Kurz and Nikolas Tautenhahn
University of Bayreuth and University of Bayreuth
Downloads 13 (702,640)
Citation 1

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Boolean functions, Dedekind's problem, voting theory, complete simple games, application of the parametric Barvinok algorithm

29.

The Nucleolus of Large Majority Games

Number of pages: 11 Posted: 04 Dec 2013
Sascha Kurz, Stefan Napel and Andreas Nohn
University of Bayreuth, University of Bayreuth and University of Turku
Downloads 13 (702,640)
Citation 1

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nucleolus, power, limit behavior, weighted voting games

30.

Bounds for the Nakamura Number

Number of pages: 19 Posted: 21 Nov 2017
Josep Freixas and Sascha Kurz
Polytechnic University of Catalonia (UPC) and University of Bayreuth
Downloads 12 (710,564)

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Nakamura Number, Stability, Simple Games, Complete Simple Games, Weighted Games, Bounds

31.

On the Democratic Weights of Nations

Number of pages: 50 Posted: 04 Mar 2018
Sascha Kurz, Nicola Maaser and Stefan Napel
University of Bayreuth, University of Bremen - Department of Economics and University of Bayreuth
Downloads 11 (718,397)
Citation 11

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institutional design; two-tier voting; collective choice; Shapley value; pivot probability; equal representation; random order values

32.

Heuristic and Exact Solutions to the Inverse Power Index Problem for Small Voting Bodies

Annals of Operation Research, Forthcoming
Number of pages: 16 Posted: 03 Dec 2013
Sascha Kurz and Stefan Napel
University of Bayreuth and University of Bayreuth
Downloads 11 (718,397)
Citation 1

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electoral systems, simple games, weighted voting games, square root rule, Penrose limit theorem, Penrose-Banzhaf index, institutional design

33.

Classes of Complete Simple Games that are All Weighted

Number of pages: 14 Posted: 07 Jan 2014
Sascha Kurz and Nikolas Tautenhahn
University of Bayreuth and University of Bayreuth
Downloads 10 (726,194)

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Complete Simple Games, Weighted Games, Voting, Group Decision Making

34.

Axiomatizations for the Shapley-Shubik Power Index for Games With Several Levels of Approval in the Input and Output

Number of pages: 25 Posted: 24 Feb 2020
Sascha Kurz, Issofa Moyouwou and Hilaire Touyem
University of Bayreuth, University of Yaounde I and University of Yaounde I
Downloads 9 (734,158)

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simple games, several levels of approval, Shapley-Shubik index, power indices, axiomatization, interval decisions

35.

Bounds for the Diameter of the Weight Polytope

Number of pages: 16 Posted: 20 Aug 2018 Last Revised: 06 Jul 2019
Sascha Kurz
University of Bayreuth
Downloads 9 (734,158)
Citation 2

Abstract:

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weighted game, threshold function, weighted representations, weight polytope, diameter, power indices

36.

Simple Games Versus Weighted Voting Games

Number of pages: 13 Posted: 21 May 2018
University of Twente, University of Twente, University of Bayreuth and Durham University
Downloads 9 (734,158)
Citation 1

Abstract:

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simple game, weighted voting game, graphic simple game, complete simple game

37.

Approximating Power by Weights

Number of pages: 23 Posted: 14 Feb 2018 Last Revised: 09 Aug 2018
Sascha Kurz
University of Bayreuth
Downloads 9 (734,158)

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weighted voting; weighted games; power indices; limit results

38.

Weighted Committee Games

Number of pages: 39 Posted: 12 Dec 2017
Sascha Kurz, Alexander Mayer and Stefan Napel
University of Bayreuth, University of Bayreuth - Department of Economics and University of Bayreuth
Downloads 9 (734,158)

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weighted voting, simple games, social choice, geometry of voting, equivalence classes, Borda rule, Copeland rule, plurality, antiplurality

39.

Dimension and Codimension of Simple Games

Number of pages: 5 Posted: 13 Feb 2016
University of Bayreuth, Polytechnic University of Catalonia (UPC), Aarhus University and Universitat Internacional de Catalunya
Downloads 9 (734,158)

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Simple games, Dimension, Codimension, Computational complexity

40.

Representation-Compatible Power Indices

Number of pages: 28 Posted: 20 Jun 2015
Serguei Kaniovski and Sascha Kurz
Austrian Institute of Economic Research (WIFO) and University of Bayreuth
Downloads 9 (734,158)

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average representation, power index, proportionality between weights and power

41.

The Power of the Largest Player

Number of pages: 7 Posted: 13 Mar 2018
Sascha Kurz
University of Bayreuth
Downloads 8 (742,066)

Abstract:

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power measurement, weighted games

42.

A Note on the Growth of the Dimension in Complete Simple Games

Number of pages: 9 Posted: 01 Jul 2020
Sascha Kurz
University of Bayreuth
Downloads 7 (750,043)

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Complete Simple Games, Weighted Games, Dimension, Boolean Dimension

43.

A Note on Limit Results for the Penrose-Banzhaf Index

Number of pages: 9 Posted: 22 Aug 2018
Sascha Kurz
University of Bayreuth
Downloads 7 (750,043)
Citation 1

Abstract:

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Weighted Voting, Power Measurement, Penrose-Banzhaf Index, Limit Results

44.

Influence in Systems with Convex Decisions

Number of pages: 18 Posted: 12 Mar 2018
Sascha Kurz
University of Bayreuth
Downloads 7 (750,043)

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Influence, Power, Convex Decisions, State Aggregation, Shapley-Shubik Index, Penrose-Banzhaf Index

45.

Dimension of the Lisbon Voting Rules in the EU Council: A Challenge and New World Record

Number of pages: 8 Posted: 10 Mar 2015
Sascha Kurz and Stefan Napel
University of Bayreuth and University of Bayreuth
Downloads 7 (750,043)
Citation 3

Abstract:

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simple games, weighted games, dimension, real-world voting systems, set covering problem, computational challenges

46.

The Cost of Getting Local Monotonicity

Number of pages: 26 Posted: 05 Nov 2014
Sascha Kurz and Josep Freixas
University of Bayreuth and Polytechnic University of Catalonia (UPC)
Downloads 6 (757,971)
Citation 2

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Public Good Index, local monotonicity, design of power indices, solidarity, individualism, fair division

47.

The Prediction Value

Tinbergen Institute Discussion Paper 13-188/II
Number of pages: 28 Posted: 30 Nov 2013
Amsterdam School of Economics, University of Amsterdam, University of Bayreuth, Free University Amsterdam and University of Bayreuth
Downloads 6 (757,971)
Citation 1

Abstract:

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influence, voting games, cooperative games, Banzhaf value, Shapley value

48.

The Price of Fairness for a Small Number of Indivisible Items

Number of pages: 6 Posted: 04 Mar 2018
Sascha Kurz
University of Bayreuth
Downloads 4 (773,335)

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fair division; fairness; price of fairness; indivisible items; envy-freeness; few items

49.

Are Weighted Games Sufficiently Good for Binary Voting?

Number of pages: 7 Posted: 01 Jul 2020
Sascha Kurz
University of Bayreuth
Downloads 3 (781,288)

Abstract:

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power measurement, weighted games