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This paper investigates mixed strategies in dynamic games with perfect information. We present an example to show that a player may obtain higher payoff by playing mixed strategy. By contrast, the main result of the paper shows that every…

Optimization and Control · Mathematics 2020-01-01 Enxian Chen , Wei He , Yeneng Sun , Hanping Xu

Recently, in [K.R. Apt and S. Simon: Well-founded extensive games with perfect information, TARK21], we studied well-founded games, a natural extension of finite extensive games with perfect information in which all plays are finite. We…

Computer Science and Game Theory · Computer Science 2023-07-18 Krzysztof R. Apt , Sunil Simon

We study two-player zero-sum stochastic games, and propose a form of independent learning dynamics called Doubly Smoothed Best-Response dynamics, which integrates a discrete and doubly smoothed variant of the best-response dynamics into…

Computer Science and Game Theory · Computer Science 2023-03-07 Zaiwei Chen , Kaiqing Zhang , Eric Mazumdar , Asuman Ozdaglar , Adam Wierman

In this paper, we provide an effective characterization of all the subgame-perfect equilibria in infinite duration games played on finite graphs with mean-payoff objectives. To this end, we introduce the notion of requirement, and the…

Computer Science and Game Theory · Computer Science 2022-04-22 Léonard Brice , Jean-François Raskin , Marie Van Den Bogaard

We consider an assignment problem that has aspects of fair division as well as social choice. In particular, we investigate the problem of assigning a small subset from a set of indivisible items to multiple players so that the chosen…

Computer Science and Game Theory · Computer Science 2019-02-06 Warut Suksompong

We study the two-player safe game of Competitive Diffusion, a game-theoretic model for the diffusion of technologies or influence through a social network. In game theory, safe strategies are mixed strategies with a minimal expected gain…

Discrete Mathematics · Computer Science 2015-07-10 Jeannette Janssen , Celeste Vautour

We introduce two-level discounted games played by two players on a perfect-information stochastic game graph. The upper level game is a discounted game and the lower level game is an undiscounted reachability game. Two-level games model…

Logic in Computer Science · Computer Science 2010-06-09 Krishnendu Chatterjee , Rupak Majumdar

Recent advancements in algorithms for sequential decision-making under imperfect information have shown remarkable success in large games such as limit- and no-limit poker. These algorithms traditionally formalize the games using the…

Computer Science and Game Theory · Computer Science 2023-12-07 Vojtěch Kovařík , David Milec , Michal Šustr , Dominik Seitz , Viliam Lisý

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

In many multiagent environments, a designer has some, but limited control over the game being played. In this paper, we formalize this by considering incompletely specified games, in which some entries of the payoff matrices can be chosen…

Computer Science and Game Theory · Computer Science 2021-04-30 Markus Brill , Rupert Freeman , Vincent Conitzer

Network games provide a powerful framework for modeling agent interactions in networked systems, where players are represented by nodes in a graph and their payoffs depend on the actions taken by their neighbors. Extending the framework of…

Optimization and Control · Mathematics 2025-12-17 Constantin Ickstadt , Thorsten Theobald , Elias Tsigaridas , Antonios Varvitsiotis

Consider a very simple class of (finite) games: after an initial move by nature, each player makes one move. Moreover, the players have common interests: at each node, all the players get the same payoff. We show that the problem of…

Computer Science and Game Theory · Computer Science 2007-05-23 Francis Chu , Joseph Y. Halpern

We prove that every two-player nonzero-sum stopping game in discrete time admits an \epsilon-equilibrium in randomized strategies for every \epsilon >0. We use a stochastic variation of Ramsey's theorem, which enables us to reduce the…

Probability · Mathematics 2007-05-23 Eran Shmaya , Eilon Solan

We study a static game played by a finite number of agents, in which agents are assigned independent and identically distributed random types and each agent minimizes its objective function by choosing from a set of admissible actions that…

Probability · Mathematics 2017-02-08 Daniel Lacker , Kavita Ramanan

Unlike normal-form games, where correlated equilibria have been studied for more than 45 years, extensive-form correlation is still generally not well understood. Part of the reason for this gap is that the sequential nature of…

Computer Science and Game Theory · Computer Science 2020-09-10 Gabriele Farina , Tuomas Sandholm

While Nash equilibrium in extensive-form games is well understood, very little is known about the properties of extensive-form correlated equilibrium (EFCE), both from a behavioral and from a computational point of view. In this setting,…

Computer Science and Game Theory · Computer Science 2019-10-29 Gabriele Farina , Chun Kai Ling , Fei Fang , Tuomas Sandholm

In this paper, we study one-player and two-player energy mean-payoff games. Energy mean-payoff games are games of infinite duration played on a finite graph with edges labeled by 2-dimensional weight vectors. The objective of the first…

Computer Science and Game Theory · Computer Science 2019-07-03 Véronique Bruyère , Quentin Hautem , Mickael Randour , Jean-François Raskin

The study of evolutionary games with pairwise local interactions has been of interest to many different disciplines. Also local interactions with multiple opponents had been considered, although always for a fixed amount of players. In many…

Physics and Society · Physics 2022-04-06 Natalia L. Kontorovsky , Juan Pablo Pinasco , Federico Vazquez

This paper introduces alignment games, a new class of zero-sum games modeling strategic interventions where effectiveness depends on alignment with an underlying hidden state. Motivated by operational problems in medical diagnostics,…

Optimization and Control · Mathematics 2025-09-08 Pedro Cesar Lopes Gerum , Thomas Lidbetter

This work considers two-player zero-sum semi-Markov games with incomplete information on one side and perfect observation. At the beginning, the system selects a game type according to a given probability distribution and informs to Player…

Optimization and Control · Mathematics 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao