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Optimizing strategic decisions (a.k.a. computing equilibrium) is key to the success of many non-cooperative multi-agent applications. However, in many real-world situations, we may face the exact opposite of this game-theoretic problem --…

Computer Science and Game Theory · Computer Science 2022-10-05 Jibang Wu , Weiran Shen , Fei Fang , Haifeng Xu

This paper investigates the discrete-time asynchronous games in which noncooperative agents seek to minimize their individual cost functions. Building on the assumption of partial asynchronism, i.e., each agent updates at least once within…

Optimization and Control · Mathematics 2025-08-13 Zifan Wang , Xinlei Yi , Michael M. Zavlanos , Karl H. Johansson

This paper is concerned with the closed-loop solvability of one kind of linear-quadratic Stackelberg stochastic differential game, where the coefficients are deterministic. The notion of the closed-loop solvability is introduced, which…

Optimization and Control · Mathematics 2021-01-01 Zixuan Li , Jingtao Shi

Repeated quantum game theory addresses long term relations among players who choose quantum strategies. In the conventional quantum game theory, single round quantum games or at most finitely repeated games have been widely studied, however…

Quantum Physics · Physics 2023-12-12 Kazuki Ikeda , Shoto Aoki

We present an algorithm that computes approximate pure Nash equilibria in a broad class of constraint satisfaction games that generalize the well-known cut and party affiliation games. Our results improve previous ones by Bhalgat et al.~(EC…

Computer Science and Game Theory · Computer Science 2014-02-17 Ioannis Caragiannis , Angelo Fanelli , Nick Gravin

We propose a simple yet rich model to extend the notions of Nash equilibria and correlated equilibria of strategic games to the quantum setting, in which we then study the relations between classical and quantum equilibria. Unlike the…

Quantum Physics · Physics 2015-03-17 Shengyu Zhang

We prove that any perfect quantum strategy for the two-prover game encoding a constraint satisfaction problem (CSP) can be simulated via a perfect classical strategy with an extra classical communication channel, whose size depends only on…

Quantum Physics · Physics 2025-04-01 Demian Banakh , Lorenzo Ciardo , Marcin Kozik , Jan Tułowiecki

Correlation self-testing of a theory addresses the question of whether we can identify the set of correlations realisable in a theory from its performance in a particular information processing task. Applied to quantum theory it aims to…

Quantum Physics · Physics 2024-01-17 Mirjam Weilenmann , Roger Colbeck

This paper presents a general closed graph property for (randomized strategy) Nash equilibrium correspondence in large games. In particular, we show that for any large game with a convergent sequence of fiinite-player games, the limit of…

Optimization and Control · Mathematics 2024-10-30 Enxian Chen , Bin Wu , Hanping Xu

We analyze quantum game with correlated noise through generalized quantization scheme. Four different combinations on the basis of entanglement of initial quantum state and the measurement basis are analyzed. It is shown that the advantage…

Quantum Physics · Physics 2009-11-13 Ahmad Nawaz , A. H. Toor

We show that equilibria of a sequential semi-anonymous nonatomic game (SSNG) can be adopted by players in corresponding large but finite dynamic games to achieve near-equilibrium payoffs. Such equilibria in the form of random…

Economics · Quantitative Finance 2016-06-23 Jian Yang

Synchronous correlations provide a class of nonlocal games that behave like functions between finite sets. In this work we examine categories whose morphisms are games with synchronous classical, quantum, or general nonsignaling…

Quantum Physics · Physics 2018-10-25 Brad Lackey , Nishant Rodrigues

Concavity and its refinements underpin tractability in multiplayer games, where players independently choose actions to maximize their own payoffs which depend on other players' actions. In concave games, where players' strategy sets are…

Computer Science and Game Theory · Computer Science 2025-12-12 Vincent Leon , Iosif Sakos , Ryann Sim , Antonios Varvitsiotis

We consider a setting in which a principal gets to choose which game from some given set is played by a group of agents. The principal would like to choose a game that favors one of the players, the social preferences of the players, or the…

Computer Science and Game Theory · Computer Science 2025-11-27 Caspar Oesterheld , Vincent Conitzer

We answer an open complexity question by Hofman, Lasota, Mayr, Totzke (LMCS 2016) for simulation preorder on the class of succinct one-counter nets (i.e., one-counter automata with no zero tests where counter increments and decrements are…

Logic in Computer Science · Computer Science 2023-06-22 Petr Jancar , Petr Osicka , Zdenek Sawa

This paper presents new families of algorithms for the repeated play of two-agent (near) zero-sum games and two-agent zero-sum stochastic games. For example, the family includes fictitious play and its variants as members. Commonly, the…

Computer Science and Game Theory · Computer Science 2023-11-03 Yuksel Arslantas , Ege Yuceel , Yigit Yalin , Muhammed O. Sayin

This article uses data from two experimental studies of two-person Prisoner's Dilemma games [1, 2] and compares the data with the theoretic predictions calculated with the use of a quantum game theoretical method. The experimental findings…

Quantum Physics · Physics 2007-07-23 Matthias Hanauske , Steffen Bernius , Wolfgang Köenig , Berndt Dugall

We introduce the novel notion of winning cores in parity games and develop a deterministic polynomial-time under-approximation algorithm for solving parity games based on winning core approximation. Underlying this algorithm are a number…

Computer Science and Game Theory · Computer Science 2016-02-08 Steen Vester

This paper investigates stochastic generalized dynamic games with coupling chance constraints, where agents have incomplete information about uncertainties satisfying a concentration of measure property. This problem, in general, is…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Seyed Shahram Yadollahi , Hamed Kebriaei , Sadegh Soudjani

In this thesis we introduce quantum refereed games, which are quantum interactive proof systems with two competing provers. We focus on a restriction of this model that we call "short quantum games" and we prove an upper bound and a lower…

Computational Complexity · Computer Science 2007-05-23 Gus Gutoski
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