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The noncooperative Nash equilibrium solution of classical games corresponds to a rational expectations attitude on the part of the players. However, in many cases, games played by human players have outcomes very different from Nash…

Quantum Physics · Physics 2007-05-23 R. Vilela Mendes

This paper examines multiplayer symmetric constant-sum games with more than two players in a competitive setting, including examples like Mahjong, Poker, and various board and video games. In contrast to two-player zero-sum games,…

Machine Learning · Computer Science 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

We investigate a variety of cut and choose games, their relationship with (generic) large cardinals, and show that they can be used to characterize a number of properties of ideals and of partial orders: certain notions of distributivity,…

Logic · Mathematics 2023-02-03 Peter Holy , Philipp Schlicht , Christopher Turner , Philip Welch

We consider a dynamic version of sender-receiver games, where the sequence of states follows an irreducible Markov chain observed by the sender. Under mild assumptions, we provide a simple characterization of the limit set of equilibrium…

Probability · Mathematics 2012-04-03 Jerome Renault , Eilon Solan , Nicolas Vieille

An abstraction of normal form games is proposed, called Feasibility/Desirability Games (or FD Games in short). FD Games can be seen from three points of view: as a new presentation of games in which Nash equilibria can be found, as choice…

Computer Science and Game Theory · Computer Science 2009-08-03 Pierre Lescanne

The main objective of this work is to describe games which fall under title of Potential and simplify the conditions for class of aggregative games. Games classified as aggregative are ones in which, in addition to the player's own action,…

Computer Science and Game Theory · Computer Science 2023-08-25 Sina Arefizadeh , Angelia Nedich

Game theory relies heavily on the availability of cardinal utility functions, but in fields such as matching markets, only ordinal preferences are typically elicited. The literature focuses on mechanisms with simple dominant strategies, but…

Computer Science and Game Theory · Computer Science 2024-08-22 Fabian R. Pieroth , Martin Bichler

We present a perspective on quantum games that focuses on the physical aspects of the quantities that are used to implement a game. If a game is to be played, it has to be played with objects and actions that have some physical existence.…

Quantum Physics · Physics 2012-02-23 Simon J. D. Phoenix , Faisal Shah Khan

We introduce open games as a compositional foundation of economic game theory. A compositional approach potentially allows methods of game theory and theoretical computer science to be applied to large-scale economic models for which…

Computer Science and Game Theory · Computer Science 2018-02-16 Neil Ghani , Jules Hedges , Viktor Winschel , Philipp Zahn

Recent developments surrounding resource theories have shown that any quantum state or measurement resource, with respect to a convex (and compact) set of resourceless objects, provides an advantage in a tailored subchannel or state…

Quantum Physics · Physics 2020-05-05 Roope Uola , Tristan Kraft , Alastair A. Abbott

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

Computer Science and Game Theory · Computer Science 2026-02-04 Melih İşeri , Erhan Bayraktar

People, robots, and companies mostly divide time and effort among projects, and \defined{shared effort games} model people investing resources in public endeavors and sharing the generated values. In linear $\theta$ sharing (effort) games,…

Computer Science and Game Theory · Computer Science 2026-05-26 Gleb Polevoy , Stojan Trajanovski , Mathijs de Weerdt

Quantum games have proposed a new point of view for the solution of the classical problems and dilemmas in game theory. Certain quantization relationships can be proposed with the objective that a game can be generalized into a quantum…

Quantum Physics · Physics 2016-12-12 Esteban Guevara Hidalgo

We initiate the study of game dynamics in the population protocol model: $n$ agents each maintain a current local strategy and interact in pairs uniformly at random. Upon each interaction, the agents play a two-person game and receive a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Dan Alistarh , Krishnendu Chatterjee , Mehrdad Karrabi , John Lazarsfeld

This paper studies a two-person trading game in continuous time that generalizes Garivaltis (2018) to allow for stock prices that both jump and diffuse. Analogous to Bell and Cover (1988) in discrete time, the players start by choosing fair…

General Economics · Economics 2022-10-24 Alex Garivaltis

We introduce a game where players selfishly choose a resource and endure a cost depending on the number of players choosing nearby resources. We model the influences among resources by a weighted graph, directed or not. These games are…

Discrete Mathematics · Computer Science 2026-04-08 David Auger , Johanne Cohen , Antoine Lobstein

We consider two-player games played on weighted directed graphs with mean-payoff and total-payoff objectives, two classical quantitative objectives. While for single-dimensional games the complexity and memory bounds for both objectives…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Laurent Doyen , Mickael Randour , Jean-François Raskin

Classical objectives in two-player zero-sum games played on graphs often deal with limit behaviors of infinite plays: e.g., mean-payoff and total-payoff in the quantitative setting, or parity in the qualitative one (a canonical way to…

Logic in Computer Science · Computer Science 2016-09-15 Véronique Bruyère , Quentin Hautem , Mickael Randour

Renewable resources are starting to constitute a growing portion of the total generation mix of the power system. A key difference between renewables and traditional generators is that many renewable resources are managed by individuals,…

Optimization and Control · Mathematics 2019-10-07 Pan Li , Shreyas Sekar , Baosen Zhang

We consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). We introduce these basic ideas in the context of a simple example, closely…

Quantum Physics · Physics 2009-10-31 David A. Meyer
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