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We consider imperfect information stochastic games where we require the players to use pure (i.e. non randomised) strategies. We consider reachability, safety, B\"uchi and co-B\"uchi objectives, and investigate the existence of…

形式语言与自动机理论 · 计算机科学 2018-03-28 Arnaud Carayol , Christof Löding , Olivier Serre

We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

最优化与控制 · 数学 2010-08-24 Michael Ludkovski

In their seminal work, Nayyar et al. (2013) showed that imperfect information can be abstracted away from common-payoff games by having players publicly announce their policies as they play. This insight underpins sound solvers and…

计算机科学与博弈论 · 计算机科学 2023-08-02 Samuel Sokota , Ryan D'Orazio , Chun Kai Ling , David J. Wu , J. Zico Kolter , Noam Brown

Coevolutionary game dynamics is the result of players that may change their strategies and their network of interaction. For such games, and based on interpreting strategies as configurations, strategy-to-payoff maps can be defined for…

种群与进化 · 定量生物学 2018-03-21 Hendrik Richter

The game in which acts of participants don't have an adequate description in terms of Boolean logic and classical theory of probabilities is considered. The model of the game interaction is constructed on the basis of a non-distributive…

量子物理 · 物理学 2007-05-23 Andrey Grib , Georges Parfionov

We study discrete two player all-pay auction with complete information. We provide full characterization of mixed strategy Nash equilibria and show that they constitute a subset of Nash equilibria of discrete General Lotto game. We show…

计算机科学与博弈论 · 计算机科学 2023-05-09 Marcin Dziubiński , Krzysztof Jahn

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

计算机科学中的逻辑 · 计算机科学 2015-09-25 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

A basic question for zero-sum repeated games consists in determining whether the mean payoff per time unit is independent of the initial state. In the special case of "zero-player" games, i.e., of Markov chains equipped with additive…

最优化与控制 · 数学 2015-10-20 Marianne Akian , Stéphane Gaubert , Antoine Hochart

We study the problem of finding robust equilibria in multiplayer concurrent games with mean payoff objectives. A $(k,t)$-robust equilibrium is a strategy profile such that no coalition of size $k$ can improve the payoff of one its member by…

计算机科学与博弈论 · 计算机科学 2016-02-02 Romain Brenguier

We consider normal-form games with $n$ players and two strategies for each player, where the payoffs are i.i.d. random variables with some distribution $F$ and we consider issues related to the pure equilibria in the game as the number of…

概率论 · 数学 2021-02-24 Matteo Quattropani , Marco Scarsini

The assumptions of necessary rationality and necessary knowledge of strategies, also known as perfect prediction, lead to at most one surviving outcome, immune to the knowledge that the players have of them. Solutions concepts implementing…

计算机科学与博弈论 · 计算机科学 2019-05-23 Ghislain Fourny

To what extent can an external observer observing an equilibrium action distribution in an incomplete information game infer the underlying information structure? We investigate this issue in a general linear-quadratic-Gaussian framework. A…

理论经济学 · 经济学 2024-03-19 Masaki Miyashita

A general model for zero-sum stochastic games with asymmetric information is considered. In this model, each player's information at each time can be divided into a common information part and a private information part. Under certain…

系统与控制 · 电气工程与系统科学 2019-12-25 Dhruva Kartik , Ashutosh Nayyar

We study nonzero-sum hypothesis testing games that arise in the context of adversarial classification, in both the Bayesian as well as the Neyman-Pearson frameworks. We first show that these games admit mixed strategy Nash equilibria, and…

计算机科学与博弈论 · 计算机科学 2019-10-01 Sarath Yasodharan , Patrick Loiseau

In this paper we introduce a novel flow representation for finite games in strategic form. This representation allows us to develop a canonical direct sum decomposition of an arbitrary game into three components, which we refer to as the…

计算机科学与博弈论 · 计算机科学 2015-03-17 Ozan Candogan , Ishai Menache , Asuman Ozdaglar , Pablo A. Parrilo

In a multi-objective game, each individual's payoff is a \emph{vector-valued} function of everyone's actions. Under such vectorial payoffs, Pareto-efficiency is used to formulate each individual's best-response condition, inducing…

计算机科学与博弈论 · 计算机科学 2018-09-14 Anisse Ismaili

This paper studies a multi-player, general-sum stochastic game characterized by a dual-stage temporal structure per period. The agents face uncertainty regarding the time-evolving state that is realized at the beginning of each period.…

计算机科学与博弈论 · 计算机科学 2023-10-09 Tao Zhang , Quanyan Zhu

We consider a sub-class of bi-matrix games which we refer to as two-person (hereafter referred to as two-player) additively-separable sum (TPASS) games, where the sum of the pay-offs of the two players is additively separable. The row…

最优化与控制 · 数学 2025-11-03 Somdeb Lahiri

We study the issues of existence and inefficiency of pure Nash equilibria in linear congestion games with altruistic social context, in the spirit of the model recently proposed by de Keijzer {\em et al.} \cite{DSAB13}. In such a framework,…

计算机科学与博弈论 · 计算机科学 2013-08-16 Vittorio Bilò

In the paper we present a model of discrete-time mean-field game with several populations of players. Mean-field games with multiple populations of the players have only been studied in the literature in the continuous-time setting. The…

最优化与控制 · 数学 2023-04-07 Piotr Więcek