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Related papers: Robust Equilibria in Concurrent Games

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Automated game balancing has often focused on single-agent scenarios. In this paper we present a tool for balancing multi-player games during game design. Our approach requires a designer to construct an intuitive graphical representation…

Artificial Intelligence · Computer Science 2020-10-05 Daniel Hernandez , Charles Takashi Toyin Gbadamosi , James Goodman , James Alfred Walker

Is there an equilibrium for distributed consensus when all agents except one collude to steer the decision value towards their preference? If an equilibrium exists, then an $n-1$ size coalition cannot do better by deviating from the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-10 Yehuda Afek , Itay Harel , Amit Jacob-Fanani , Moshe Sulamy

We study the complexity of deciding the existence of mixed equilibria for minimization games where players use valuations other than expectation to evaluate their costs. We consider risk-averse players seeking to minimize the sum…

Computer Science and Game Theory · Computer Science 2015-11-02 Marios Mavronicolas , Burkhard Monien

In this paper, we consider both finite and infinite horizon discounted dynamic mean-field games where there is a large population of homogeneous players sequentially making strategic decisions and each player is affected by other players…

Computer Science and Game Theory · Computer Science 2019-10-23 Deepanshu Vasal

We study graphs and two-player games in which rewards are assigned to states, and the goal of the players is to satisfy or dissatisfy certain property of the generated outcome, given as a mean payoff property. Since the notion of…

Logic in Computer Science · Computer Science 2016-04-22 Tomáš Brázdil , Vojtěch Forejt , Antonín Kučera , Petr Novotný

Using methods from the statistical mechanics of disordered systems we analyze the properties of bimatrix games with random payoffs in the limit where the number of pure strategies of each player tends to infinity. We analytically calculate…

Disordered Systems and Neural Networks · Physics 2009-10-31 Johannes Berg

We propose a novel algorithm for the solution of mean-payoff games that merges together two seemingly unrelated concepts introduced in the context of parity games, small progress measures and quasi dominions. We show that the integration of…

Logic in Computer Science · Computer Science 2019-07-16 Massimo Benerecetti , Daniele Dell'Erba , Fabio Mogavero

We investigate the problem of equilibrium computation for "large" $n$-player games. Large games have a Lipschitz-type property that no single player's utility is greatly affected by any other individual player's actions. In this paper, we…

Computer Science and Game Theory · Computer Science 2016-10-28 Paul W. Goldberg , Francisco J. Marmolejo-Cossío , Zhiwei Steven Wu

We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric $N$ player differential games with interactions through controls under displacement semimonotonicity assumptions. Surprisingly, the nonseparable…

Analysis of PDEs · Mathematics 2026-04-01 Hei Jie Lam , Alpár R. Mészáros

Quantum entanglement has been recently demonstrated as a useful resource in conflicting interest games of incomplete information between two players, Alice and Bob [Pappa et al., Phys. Rev. Lett. 114, 020401 (2015)]. General setting for…

Quantum Physics · Physics 2017-11-17 Ashutosh Rai , Goutam Paul

We consider multiplayer stochastic games in which the payoff of each player is a bounded and Borel-measurable function of the infinite play. By using a generalization of the technique of Martin (1998) and Maitra and Sudderth (1998), we show…

Optimization and Control · Mathematics 2022-08-26 János Flesch , Eilon Solan

In this paper we consider strong Nash equilibria, in mixed strategies, for finite games. Any strong Nash equilibrium outcome is Pareto efficient for each coalition. First, we analyze the two--player setting. Our main result, in its simplest…

Optimization and Control · Mathematics 2015-03-02 Eleonora Braggion , Nicola Gatti , Roberto Lucchetti , Tuomas Sandholm

Stochastic games are an important class of problems that generalize Markov decision processes to game theoretic scenarios. We consider finite state two-player zero-sum stochastic games over an infinite time horizon with discounted rewards.…

Optimization and Control · Mathematics 2008-06-17 Parikshit Shah , Pablo A. Parrilo

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

Computer Science and Game Theory · Computer Science 2014-04-21 Elliot Anshelevich , Shreyas Sekar

Rating strategies in a game is an important area of research in game theory and artificial intelligence, and can be applied to any real-world competitive or cooperative setting. Traditionally, only transitive dependencies between strategies…

Computer Science and Game Theory · Computer Science 2022-10-06 Luke Marris , Marc Lanctot , Ian Gemp , Shayegan Omidshafiei , Stephen McAleer , Jerome Connor , Karl Tuyls , Thore Graepel

This paper considers a time-varying game with $N$ players. Every time slot, players observe their own random events and then take a control action. The events and control actions affect the individual utilities earned by each player. The…

Computer Science and Game Theory · Computer Science 2014-02-04 Michael J. Neely

In finite games mixed Nash equilibria always exist, but pure equilibria may fail to exist. To assess the relevance of this nonexistence, we consider games where the payoffs are drawn at random. In particular, we focus on games where a large…

Computer Science and Game Theory · Computer Science 2020-06-18 Ben Amiet , Andrea Collevecchio , Marco Scarsini , Ziwen Zhong

We study the problem of computing Stackelberg equilibria Stackelberg games whose underlying structure is in congestion games, focusing on the case where each player can choose a single resource (a.k.a. singleton congestion games) and one of…

Computer Science and Game Theory · Computer Science 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

The sequential equilibrium is a standard solution concept for extensive-form games with imperfect information that includes an explicit representation of the players' beliefs. An assessment consisting of a strategy and a belief is a…

Computer Science and Game Theory · Computer Science 2024-02-08 Moritz Graf , Thorsten Engesser , Bernhard Nebel

One of the proposed solutions to the equilibrium selection problem for agents learning in repeated games is obtained via the notion of stochastic stability. Learning algorithms are perturbed so that the Markov chain underlying the learning…

Computer Science and Game Theory · Computer Science 2012-07-09 John Wicks , Amy Greenwald
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