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We study the computational complexity of strategic behaviour in primary elections. Unlike direct voting systems, primaries introduce a multi-stage process in which voters first influence intra-party nominees before a general election…

Computer Science and Game Theory · Computer Science 2026-02-12 Colin Cleveland , Bart de Keijzer , Maria Polukarov

We consider a non-cooperative constrained stochastic games with N players with the following special structure. With each player there is an associated controlled Markov chain. The transition probabilities of the i-th Markov chain depend…

Information Theory · Computer Science 2007-07-13 E. Altman , K. Avrachenkov , N. Bonneau , M. Debbah , R. El-Azouzi , D. Sadoc Menasche

This study employs gamified experiments to investigate and refine the Schelling Model of Segregation, a framework that demonstrates how individual preferences can lead to systemic segregation. Using a movement selection algorithm derived…

Physics and Society · Physics 2025-01-15 Aleix Nicolás Olivé , Luce Prignano , Dimitri Marinelli , Emanuele Cozzo

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

Computer Science and Game Theory · Computer Science 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

Aggregative games have many industrial applications, and computing an equilibrium in those games is challenging when the number of players is large. In the framework of atomic aggregative games with coupling constraints, we show that…

Computer Science and Game Theory · Computer Science 2020-03-27 Paulin Jacquot , Cheng Wan , Olivier Beaude , Nadia Oudjane

A quantum game can be viewed as a state preparation in which the final output state results from the competing preferences of the players over the set of possible output states that can be produced. It is therefore possible to view state…

Quantum Physics · Physics 2020-03-13 Simon J. D. Phoenix , Faisal Shah Khan

Many studies have shown that humans are "predictably irrational": they do not act in a fully rational way, but their deviations from rational behavior are quite systematic. Our goal is to see the extent to which we can explain and justify…

Computer Science and Game Theory · Computer Science 2023-07-27 Xinming Liu , Joseph Y. Halpern

While fictitious play is guaranteed to converge to Nash equilibrium in certain game classes, such as two-player zero-sum games, it is not guaranteed to converge in non-zero-sum and multiplayer games. We show that fictitious play in fact…

Computer Science and Game Theory · Computer Science 2024-07-30 Sam Ganzfried

The theory of learning in games has extensively studied situations where agents respond dynamically to each other by optimizing a fixed utility function. However, in real situations, the strategic environment varies as a result of past…

Computer Science and Game Theory · Computer Science 2022-07-15 Brandon C. Collins , Shouhuai Xu , Philip N. Brown

We present a new model of incomplete information games without private information in which the players use a distributionally robust optimization approach to cope with the payoff uncertainty. With some specific restrictions, we show that…

Computer Science and Game Theory · Computer Science 2016-10-04 Nicolas Loizou

The preferences of players in non-cooperative games represent their choice in the set of available options, which meet the completeness property if players are able to compare any pair of available options. In the existing literature, the…

Optimization and Control · Mathematics 2023-02-20 Asrifa Sultana , Shivani Valecha

Flip a coin repeatedly, and stop whenever you want. Your payoff is the proportion of heads, and you wish to maximize this payoff in expectation. This so-called Chow-Robbins game is amenable to computer analysis, but while simple-minded…

Probability · Mathematics 2012-01-04 Olle Häggström , Johan Wästlund

An important challenge in non-cooperative game theory is coordinating on a single (approximate) equilibrium from many possibilities - a challenge that becomes even more complex when players hold private information. Recommender mechanisms…

Computer Science and Game Theory · Computer Science 2025-05-30 Bengisu Guresti , Chongjie Zhang , Yevgeniy Vorobeychik

As robots become more prevalent, the complexity of robot-robot, robot-human, and robot-environment interactions increases. In these interactions, a robot needs to consider not only the effects of its own actions, but also the effects of…

Robotics · Computer Science 2024-03-11 Karan Muvvala , Andrew M. Wells , Morteza Lahijanian , Lydia E. Kavraki , Moshe Y. Vardi

We study games in which every action requires planning and preparation. Moreover, before players act, they can revise their plans based on partially revealing information that they receive on their adversary's preparations. In turn, we…

General Economics · Economics 2024-08-20 Wolfgang Kuhle

We study the problem of checking for the existence of constrained pure Nash equilibria in a subclass of polymatrix games defined on weighted directed graphs. The payoff of a player is defined as the sum of nonnegative rational weights on…

Computer Science and Game Theory · Computer Science 2016-11-30 Sunil Simon , Dominik Wojtczak

The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

Computer Science and Game Theory · Computer Science 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

In this paper, we aim to design a distributed approximate algorithm for seeking Nash equilibria of an aggregative game. Due to the local set constraints of each player, projectionbased algorithms have been widely employed for solving such…

Optimization and Control · Mathematics 2021-08-30 Gehui Xu , Guanpu Chen , Hongsheng Qi , Yiguang Hong

Public goods games study the incentives of individuals to contribute to a public good and their behaviors in equilibria. In this paper, we examine a specific type of public goods game where players are networked and each has binary actions,…

Computer Science and Game Theory · Computer Science 2022-04-04 Sixie Yu , Kai Zhou , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

Strategic interactions can be represented more concisely, and analyzed and solved more efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also have conceptual implications, for example for equilibrium…

Computer Science and Game Theory · Computer Science 2025-03-03 Emanuel Tewolde , Brian Hu Zhang , Caspar Oesterheld , Tuomas Sandholm , Vincent Conitzer