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The study of the nature of human cooperation still contains gaps needing investigation. Previous findings reveal that socialization effectively promotes cooperation in the well-known Prisoner's dilemma (PD) game. However, theoretical…

Computer Science and Game Theory · Computer Science 2022-03-21 Tatiana Kozitsina , Ivan Kozitsin , Ivan Menshikov

Game-playing proofs constitute a powerful framework for non-quantum cryptographic security arguments, most notably applied in the context of indifferentiability. An essential ingredient in such proofs is lazy sampling of random primitives.…

Quantum Physics · Physics 2021-05-14 Jan Czajkowski , Christian Majenz , Christian Schaffner , Sebastian Zur

This paper develops a unified framework for testing monotonicity of Bayesian Nash equilibrium strategies in unobserved types in games of incomplete information. We show that, under symmetric independent private types, monotonicity of…

Econometrics · Economics 2026-04-09 Yu-Chin Hsu , Tong Li , Chu-An Liu , Hidenori Takahashi

A quantum version of the Matching Pennies (MP) game is proposed that is played using an Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) setting. We construct the quantum game without using the state vectors, while considering only the quantum…

Quantum Physics · Physics 2009-11-13 Azhar Iqbal , Derek Abbott

We study the foundations of empirical equilibrium, a refinement of Nash equilibrium that is based on a non-parametric characterization of empirical distributions of behavior in games (Velez and Brown,2020b arXiv:1907.12408). The refinement…

Econometrics · Economics 2020-07-14 Rodrigo A. Velez , Alexander L. Brown

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

Optimization and Control · Mathematics 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

We suggest a general method for inferring players' values from their actions in repeated games. The method extends and improves upon the recent suggestion of (Nekipelov et al., EC 2015) and is based on the assumption that players are more…

Computer Science and Game Theory · Computer Science 2017-02-17 Noam Nisan , Gali Noti

We study the exploration-exploitation trade-off for large multiplayer coordination games where players strategise via Q-Learning, a common learning framework in multi-agent reinforcement learning. Q-Learning is known to have two…

Computer Science and Game Theory · Computer Science 2024-12-23 Desmond Chan , Bart De Keijzer , Tobias Galla , Stefanos Leonardos , Carmine Ventre

A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of *correlations*, i.e. without reference to classical or…

Quantum Physics · Physics 2009-11-10 Azhar Iqbal , Stefan Weigert

As quantum processors advance, the emergence of large-scale decentralized systems involving interacting quantum-enabled agents is on the horizon. Recent research efforts have explored quantum versions of Nash and correlated equilibria as…

Computer Science and Game Theory · Computer Science 2024-12-18 Wayne Lin , Georgios Piliouras , Ryann Sim , Antonios Varvitsiotis

Communication games are collaborative information processing tasks involving a number of players with limited communication. Such games are useful tools for studying physical theories. A physical theory exhibits preparation contextuality…

Quantum Physics · Physics 2017-05-15 Armin Tavakoli

This paper studies a simple class of zero-sum games played by two competing quantum players: each player sends a mixed quantum state to a referee, who performs a joint measurement on the two states to determine the players' payoffs. We…

Quantum Physics · Physics 2008-08-21 Rahul Jain , John Watrous

Game theory is widely used as a behavioral model for strategic interactions in biology and social science. It is common practice to assume that players quickly converge to an equilibrium, e.g. a Nash equilibrium. This can be studied in…

Physics and Society · Physics 2018-09-20 Marco Pangallo , Torsten Heinrich , J Doyne Farmer

Best-response (BR) schemes represent an important avenue for learning equilibria in noncooperative games. However, extant rate guarantees for BR schemes generally necessitate stringent smoothness requirements on player objectives and the…

Optimization and Control · Mathematics 2026-03-03 Zhuoyu Xiao , Uday V. Shanbhag

Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some…

Quantum Physics · Physics 2011-05-27 Zhaohui Wei , Shengyu Zhang

We consider the problem of a particular kind of quantum correlation that arises in some two-party games. In these games, one player is presented with a question they must answer, yielding an outcome of either 'win' or 'lose'. Molina and…

Quantum Physics · Physics 2017-03-14 Srinivasan Arunachalam , Abel Molina , Vincent Russo

It is common to assume that agents will adopt Nash equilibrium strategies; however, experimental studies have demonstrated that Nash equilibrium is often a poor description of human players' behavior in unrepeated normal-form games. In this…

Computer Science and Game Theory · Computer Science 2017-10-17 James R. Wright , Kevin Leyton-Brown

We study the robust Nash equilibrium (RNE) for a class of games in communications systems and networks where the impact of users on each other is an additive function of their strategies. Each user measures this impact, which may be…

Computer Science and Game Theory · Computer Science 2011-09-21 Saeedeh Parsaeefard , Ahmad R. Sharafat , Mihaela van der Schaar

Quantum game theory is a new interdisciplinary field between game theory and physical research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement…

Computer Science and Game Theory · Computer Science 2016-07-20 Xinyang Deng , Yong Deng , Qi Liu , Zhen Wang

Wide machine learning tasks can be formulated as non-convex multi-player games, where Nash equilibrium (NE) is an acceptable solution to all players, since no one can benefit from changing its strategy unilaterally. Attributed to the…

Computer Science and Game Theory · Computer Science 2023-01-20 Guanpu Chen , Gehui Xu , Fengxiang He , Yiguang Hong , Leszek Rutkowski , Dacheng Tao