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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 61, 2012 - Issue 8: Special Issue: Discrete-Continuous Control and Optimization Problems - Theory, Methods and Applications. Guest Editors: Armin Fügenschuh and Gerhard-Wilhelm Weber
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Original Articles

On the inverse power index problem

Sascha Kurz Department of Mathematics, Physics and Informatics, University of Bayreuth, Universitätsstraße 30, Bayreuth 95445, GermanyCorrespondence[email protected]
Pages 989-1011 | Received 30 Nov 2010, Accepted 04 May 2011, Published online: 14 Jul 2011

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Josep Freixas. (2024) On the enumeration of some inequivalent monotone Boolean functions. Optimization 73:4, pages 1253-1266.
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Articles from other publishers (42)

Sascha Kurz, Alexander Mayer & Stefan Napel. 2023. Power and Responsibility. Power and Responsibility 125 141 .
Alexander Mayer & Stefan Napel. (2021) Weighted Scoring Committees. Games 12:4, pages 94.
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Debabrata Pal. (2021) Does everyone have equal voting power?. Indian Economic Review 56:2, pages 515-525.
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Sascha Kurz. (2021) Are Weighted Games Sufficiently Good for Binary Voting?. Homo Oeconomicus 38:1-4, pages 29-36.
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Stefan Napel & Dominik Welter. (2021) Simple Voting Games and Cartel Damage Proportioning. Games 12:4, pages 74.
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Sascha Kurz, Alexander Mayer & Stefan Napel. (2020) Weighted committee games. European Journal of Operational Research 282:3, pages 972-979.
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Hülya EraslanKirill S. Evdokimov. (2019) Legislative and Multilateral Bargaining. Annual Review of Economics 11:1, pages 443-472.
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Geoffrey R. Grimmett. (2019) On influence and compromise in two-tier voting systems. Mathematical Social Sciences 100, pages 35-45.
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Ilias Diakonikolas & Daniel M. Kane. (2019) Degree-𝑑 chow parameters robustly determine degree-𝑑 PTFs (and algorithmic applications). Degree-𝑑 chow parameters robustly determine degree-𝑑 PTFs (and algorithmic applications).
Josep Freixas, Bertrand Tchantcho & Bill Proces Tsague. (2019) A parameterization for a class of complete games with abstention. Discrete Applied Mathematics 255, pages 21-39.
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SASCHA KURZ. (2019) IMPORTANCE IN SYSTEMS WITH INTERVAL DECISIONS. Advances in Complex Systems 21:06n07, pages 1850024.
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Antônio Francisco Neto. (2018) Generating Functions of Weighted Voting Games, MacMahon’s Partition Analysis, and Clifford Algebras. Mathematics of Operations Research.
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Sascha Kurz. (2018) The power of the largest player. Economics Letters 168, pages 123-126.
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Sascha Kurz, Nicola Maaser & Stefan Napel. (2018) Fair representation and a linear Shapley rule. Games and Economic Behavior 108, pages 152-161.
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Sascha Kurz, Nicola Maaser & Stefan Napel. (2017) On the Democratic Weights of Nations. Journal of Political Economy 125:5, pages 1599-1634.
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Anindya De, Ilias Diakonikolas & Rocco A. Servedio. (2017) The Inverse Shapley value problem. Games and Economic Behavior 105, pages 122-147.
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Michel Le Breton, Dominique Lepelley, Antonin Macé & Vincent Merlin. (2017) Le mécanisme optimal de vote au sein du conseil des représentants d’un système fédéral. L'Actualité économique 93:1-2, pages 203.
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Sascha Kurz & Stefan Napel. (2015) Dimension of the Lisbon voting rules in the EU Council: a challenge and new world record. Optimization Letters 10:6, pages 1245-1256.
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Josep Freixas & Sascha Kurz. (2016) The cost of getting local monotonicity. European Journal of Operational Research 251:2, pages 600-612.
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Sascha Kurz. (2016) The inverse problem for power distributions in committees. Social Choice and Welfare 47:1, pages 65-88.
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Matthias Weber. (2016) Two-tier voting: Measuring inequality and specifying the inverse power problem. Mathematical Social Sciences 79, pages 40-45.
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Vadim M. Kartak, Artem V. Ripatti, Guntram Scheithauer & Sascha Kurz. (2015) Minimal proper non-IRUP instances of the one-dimensional cutting stock problem. Discrete Applied Mathematics 187, pages 120-129.
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Josep Freixas & Sascha Kurz. (2013) On $${\alpha }$$ α -roughly weighted games. International Journal of Game Theory 43:3, pages 659-692.
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Anindya De, Ilias Diakonikolas, Vitaly Feldman & Rocco A. Servedio. (2014) Nearly Optimal Solutions for the Chow Parameters Problem and Low-Weight Approximation of Halfspaces. Journal of the ACM 61:2, pages 1-36.
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Sascha Kurz & Stefan Napel. (2013) Heuristic and exact solutions to the inverse power index problem for small voting bodies. Annals of Operations Research 215:1, pages 137-163.
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Josep Freixas & Serguei Kaniovski. (2014) The minimum sum representation as an index of voting power. European Journal of Operational Research 233:3, pages 739-748.
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Michael Zuckerman, Piotr Faliszewski, Yoram Bachrach & Edith Elkind. (2012) Manipulating the quota in weighted voting games. Artificial Intelligence 180-181, pages 1-19.
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Anindya De, Ilias Diakonikolas & Rocco Servedio. 2012. Automata, Languages, and Programming. Automata, Languages, and Programming 266 277 .
Sascha Kurz. (2018) The Power of the Largest Player. SSRN Electronic Journal.
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Sascha Kurz. (2018) Influence in Systems with Convex Decisions. SSRN Electronic Journal.
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Sascha Kurz, Nicola Maaser & Stefan Napel. (2016) On the Democratic Weights of Nations. SSRN Electronic Journal.
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Sascha Kurz. (2018) Approximating Power by Weights. SSRN Electronic Journal.
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Sascha Kurz, Nicola Maaser & Stefan Napel. (2016) Fair Representation and a Linear Shapley Rule. SSRN Electronic Journal.
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Matthias Weber. (2015) Behavioral Economics and the Public Sector. SSRN Electronic Journal.
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Sascha Kurz & Stefan Napel. (2015) Dimension of the Lisbon Voting Rules in the EU Council: A Challenge and New World Record. SSRN Electronic Journal.
Crossref
Sascha Kurz & Josep Freixas. (2014) The Cost of Getting Local Monotonicity. SSRN Electronic Journal.
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Rainer Hegselmann, Stefan KKnig, Sascha Kurz, Christoph Niemann & JJrg Rambau. (2014) Optimal Opinion Control: The Campaign Problem. SSRN Electronic Journal.
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Vadim M. Kartak, Artem V. Ripatti, Guntram Scheithauer & Sascha Kurz. (2014) Minimal Proper Non-IRUP Instances of the One-Dimensional Cutting Stock Problem. SSRN Electronic Journal.
Crossref
Sascha Kurz, Nicola Maaser, Stefan Napel & Matthias Weber. (2014) Mostly Sunny: A Forecast of Tomorrow's Power Index Research. SSRN Electronic Journal.
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Sascha Kurz. (2014) Ready for the Design of Voting Rules?. SSRN Electronic Journal.
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Matthias Weber. (2014) Solving the Inverse Power Problem in Two-Tier Voting Settings. SSRN Electronic Journal.
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Sascha Kurz. (2014) The Inverse Problem for Power Distributions in Committees. SSRN Electronic Journal.
Crossref

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