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The paper is concerned with two-person dynamic zero-sum games. We investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity, and the limit of value functions of…

最优化与控制 · 数学 2016-07-21 Dmitry Khlopin

The value of a finite-state two-player zero-sum stochastic game with limit-average payoff can be approximated to within $\epsilon$ in time exponential in a polynomial in the size of the game times polynomial in logarithmic in…

计算机科学与博弈论 · 计算机科学 2008-12-18 Krishnendu Chatterjee , Rupak Majumdar , Thomas A. Henzinger

Function approximation (FA) has been a critical component in solving large zero-sum games. Yet, little attention has been given towards FA in solving \textit{general-sum} extensive-form games, despite them being widely regarded as being…

计算机科学与博弈论 · 计算机科学 2023-04-04 Chun Kai Ling , J. Zico Kolter , Fei Fang

We study two-player zero-sum concurrent stochastic games with finite state and action space played for an infinite number of steps. In every step, the two players simultaneously and independently choose an action. Given the current state…

计算机科学与博弈论 · 计算机科学 2024-10-10 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Jakub Svoboda

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…

最优化与控制 · 数学 2022-08-26 János Flesch , Eilon Solan

A \emph{bidding} game is played on a graph as follows. A token is placed on an initial vertex and both players are allocated budgets. In each turn, the players simultaneously submit bids that do not exceed their available budgets, the…

计算机科学与博弈论 · 计算机科学 2025-09-03 Guy Avni , Suman Sadhukhan

We consider simple stochastic games $\mathcal G$ with energy-parity objectives, a combination of quantitative rewards with a qualitative parity condition. The Maximizer tries to avoid running out of energy while simultaneously satisfying a…

计算机科学与博弈论 · 计算机科学 2023-07-13 Mohan Dantam , Richard Mayr

We introduce a "high probability" framework for repeated games with incomplete information. In our non-equilibrium setting, players aim to guarantee a certain payoff with high probability, rather than in expected value. We provide a high…

计算机科学与博弈论 · 计算机科学 2015-09-30 Payam Delgosha , Amin Gohari , Mohammad Akbarpour

In a zero-sum stochastic game with signals, at each stage, two adversary players take decisions and receive a stage payoff determined by these decisions and a variable called state. The state follows a Markov chain, that is controlled by…

最优化与控制 · 数学 2021-12-02 Bruno Ziliotto

Strategic interactions often take place in an environment rife with uncertainty. As a result, the equilibrium of a game is intimately related to the information available to its players. The \emph{signaling problem} abstracts the task faced…

计算机科学与博弈论 · 计算机科学 2014-10-14 Yu Cheng , Ho Yee Cheung , Shaddin Dughmi , Shanghua Teng

Simple stochastic games are turn-based 2.5-player games with a reachability objective. The basic question asks whether one player can ensure reaching a given target with at least a given probability. A natural extension is games with a…

计算机科学与博弈论 · 计算机科学 2021-02-02 Pranav Ashok , Krishnendu Chatterjee , Jan Kretinsky , Maximilian Weininger , Tobias Winkler

We propose a learning dynamics to model how strategic agents repeatedly play a continuous game while relying on an information platform to learn an unknown payoff-relevant parameter. In each time step, the platform updates a belief estimate…

多智能体系统 · 计算机科学 2023-11-02 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We analyse the computational complexity of finding Nash equilibria in stochastic multiplayer games with $\omega$-regular objectives. While the existence of an equilibrium whose payoff falls into a certain interval may be undecidable, we…

计算机科学与博弈论 · 计算机科学 2010-06-24 Michael Ummels , Dominik Wojtczak

This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a…

最优化与控制 · 数学 2014-07-16 Dario Bauso , Thomas W L Norman

We introduce a three-player nonlocal game, with a finite number of classical questions and answers, such that the optimal success probability of $1$ in the game can only be achieved in the limit of strategies using arbitrarily…

量子物理 · 物理学 2020-10-28 Zhengfeng Ji , Debbie Leung , Thomas Vidick

In this paper, we investigate the existence and characterization of the value for a two-player zero-sum differential game with symmetric incomplete information on a continuum of initial positions and with signal revelation. Before the game…

最优化与控制 · 数学 2026-01-01 Xiaochi Wu

We examine the problem of the existence of optimal deterministic stationary strategiesintwo-players antagonistic (zero-sum) perfect information stochastic games with finitely many states and actions.We show that the existenceof such…

计算机科学与博弈论 · 计算机科学 2016-11-28 Hugo Gimbert , Wieslaw Zielonka

We study a two-player, zero-sum, stochastic game with incomplete information on one side in which the players are allowed to play more and more frequently. The informed player observes the realization of a Markov chain on which the payoffs…

最优化与控制 · 数学 2013-07-15 Pierre Cardaliaguet , Catherine Rainer , Dinah Rosenberg , Nicolas Vieille

We study stochastic games with energy-parity objectives, which combine quantitative rewards with a qualitative $\omega$-regular condition: The maximizer aims to avoid running out of energy while simultaneously satisfying a parity condition.…

计算机科学与博弈论 · 计算机科学 2021-01-19 Richard Mayr , Sven Schewe , Patrick Totzke , Dominik Wojtczak

We introduce a stochastic learning process called the dampened gradient approximation process. While learning models have almost exclusively focused on finite games, in this paper we design a learning process for games with continuous…

计算机科学与博弈论 · 计算机科学 2018-07-02 Sebastian Bervoets , Mario Bravo , Mathieu Faure