Evaluating Voting Systems with Probability Models

Mostapha Diss is a Full Professor of Economics at the University of Franche-Comté and a member of the Centre de recherche sur les stratégies économiques (CRESE).Vincent Merlin is a CNRS Research Professor of Economics at the University of Caen Normandie, France, since 1997. His research topics incude social choice theory, game theory, and  the  analysis of voting systems.

• 1 Introduction Mostapha Diss and Vincent Merlin .- Part IThe Condorcet Efficiency of Voting Rules and Related Paradoxes .- 2 Analyzing the Probability of Election Outcomes with Abstentions William V. Gehrlein and Dominique Lepelley.- 3 Condorcet Efficiency of General Weighted Scoring Rules under IAC: Indifference and Abstention Mostapha Diss, Eric Kamwa, Issofa Moyouwou, and Hatem Smaoui.- 4 The Effect of Closeness on the Election of a Pairwise Majority Rule Winner Mostapha Diss, Patrizia Pérez-Asurmendi, and Abdelmonaim Tlidi.- 5 Analyzing the Practical Relevance of Voting Paradoxes via Ehrhart Theory, Computer Simulations, and Empirical Data Felix Brandt, Christian Geist, and Martin Strobel.- Part II   Other Voting Paradoxes.- 6 On the Probability of the Ostrogorski’s Paradox William V. Gehrlein and Vincent Merlin.- 7 Violations of Reversal Symmetry under Simple and Runoff Scoring Rules.  Raouia Belayadi and Boniface Mbih.- Part III Binary Voting in Federations.-8 Majority Efficient Representation of the Citizens in a Federal Union  Marc Feix, Dominique Lepelley, Vincent Merlin, Jean Louis Rouet, and Laurent Vidu.- 9 “One Man, One Vote” Part 1: Electoral Justice in the U.S. Electoral College: Banzhaf and Shapley/Shubik versus May Olivier de Mouzon, Thibault Laurent, Michel Le Breton, and Issofa Moyouwou.- Part IV Resistance to Manipulations.- 10 Further Results on the Manipulability of Social Choice Rules: A Comparison of Standard and Favardin-Lepelley types of Individual Manipulations Fuad Aleskerov, Daniel Karabekyan, Alexander Ivanov, and Vyacheslav Yakuba.- 11 Exploring the No-Show Paradox for Condorcet Extensions Using Ehrhart Theory and Computer Simulations  Felix Brandt, Johannes Hofbauer, and Martin Strobel.- 12 Susceptibility to Manipulation by Sincere Truncation: Scoring Rules and Scoring Run-off Systems.  Eric Kamwa and Issofa Moyouwou.- Part V Game Theory   13 Dummy Players and the Quota in Weighted VotingGames: Some Further Results Fabrice Barthelemy and Mathieu Martin.- 14 Who Wins and Loses under Approval Voting? An Analysis in Large Elections Sébastien Courtin and Matias Nuñez.- Part VI Techniques for Probability Computations.- 15 Combinatorics of Voting Rules under Anonymity and Neutrality Alexander Karpov.- 16 From Gehrlein-Fishburn Frequency Representation to a Direct Proof of the Ehrhart Extended Conjecture Nicolas-Gabriel Andjiga, Boniface Mbih, and Issofa Moyouwou.- 17 IAC-Probability Calculations in Voting Theory: Progress Report Abdelhalim El Ouafdi, Issofa Moyouwou, and Hatem Smaoui.

“The volume gives a comprehensive overview of the state of the art in probability modeling of voting rules. … All chapters in the volume present new results or refer to ones achieved recently.” (Hannu Nurmi, Journal of Economics, Vol. 134, 2021)