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Graph games provide the foundation for modeling and synthesizing reactive processes. In the synthesis of stochastic reactive processes, the traditional model is perfect-information stochastic games, where some transitions of the game graph…

计算机科学中的逻辑 · 计算机科学 2016-04-22 Krishnendu Chatterjee , Laurent Doyen

Solving parity games is a major building block for numerous applications in reactive program verification and synthesis. While they can be solved efficiently in practice, no known approach has a polynomial worst-case runtime complexity. We…

计算机科学与博弈论 · 计算机科学 2023-07-28 Tobias Hecking , Swathy Muthukrishnan , Alexander Weinert

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

计算机科学与博弈论 · 计算机科学 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

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…

计算机科学与博弈论 · 计算机科学 2021-04-30 Markus Brill , Rupert Freeman , Vincent Conitzer

Originating in evolutionary game theory, the class of "zero-determinant" strategies enables a player to unilaterally enforce linear payoff relationships in simple repeated games. An upshot of this kind of payoff constraint is that it can…

理论经济学 · 经济学 2025-11-26 Nikos Dimou , Alex McAvoy

Two-player games on graphs is central in many problems in formal verification and program analysis such as synthesis and verification of open systems. In this work we consider solving recursive game graphs (or pushdown game graphs) that can…

计算机科学中的逻辑 · 计算机科学 2016-05-17 Krishnendu Chatterjee , Yaron Velner

A new solution concept for two-player zero-sum matrix games with multi-dimensional payoff is introduced. It is based on extensions of vector orders in K-dimensional spaces to order relations in their power sets, so-called set relations, and…

最优化与控制 · 数学 2017-01-31 Andreas H. Hamel , Andreas Loehne

The Maker-Breaker domination game is a positional game played on a graph by two players called Dominator and Staller. The players alternately select a vertex of the graph that has not yet been chosen. Dominator wins if at some point the…

组合数学 · 数学 2024-06-24 Guillaume Bagan , Eric Duchêne , Valentin Gledel , Tuomo Lehtilä , Aline Parreau

This paper examines multiplayer symmetric constant-sum games with more than two players in a competitive setting, including examples like Mahjong, Poker, and various board and video games. In contrast to two-player zero-sum games,…

机器学习 · 计算机科学 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

Two-player, turn-based, stochastic games with reachability conditions are considered, where the maximizer has no information (he is blind) and is restricted to deterministic strategies whereas the minimizer is perfectly informed. We ask the…

计算机科学与博弈论 · 计算机科学 2016-05-26 Edon Kelmendi , Hugo Gimbert

In this paper we introduce polytopal stochastic games, an extension of two-player, zero-sum, turn-based stochastic games, in which we may have uncertainty over the transition probabilities. In these games the uncertainty over the…

计算机科学中的逻辑 · 计算机科学 2025-02-26 Pablo F. Castro , Pedro D'Argenio

This paper studies multiplayer turn-based games on graphs in which player preferences are modeled as $\omega$-automatic relations given by deterministic parity automata. This contrasts with most existing work, which focuses on specific…

计算机科学与博弈论 · 计算机科学 2026-02-10 Véronique Bruyère , Emmanuel Filiot , Christophe Grandmont , Jean-François Raskin

Evolutionary game theory is a powerful mathematical framework to study how intelligent individuals adjust their strategies in collective interactions. It has been widely believed that it is impossible to unilaterally control players'…

最优化与控制 · 数学 2021-08-31 Renfei Tan , Qi Su , Bin Wu , Long Wang

We address a central (and classical) issue in the theory of infinite games: the reduction of the memory size that is needed to implement winning strategies in regular infinite games (i.e., controllers that ensure correct behavior against…

计算机科学与博弈论 · 计算机科学 2011-02-22 Marcus Gelderie , Michael Holtmann

A new mathematical model for evolutionary games on graphs is proposed to extend the classical replicator equation to finite populations of players organized on a network with generic topology. Classical results from game theory,…

动力系统 · 数学 2021-09-01 Dario Madeo , Chiara Mocenni

The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act…

计算机科学中的逻辑 · 计算机科学 2020-08-14 Julian Gutierrez , Aniello Murano , Giuseppe Perelli , Sasha Rubin , Thomas Steeples , Michael Wooldridge

Partial-monitoring games constitute a mathematical framework for sequential decision making problems with imperfect feedback: The learner repeatedly chooses an action, opponent responds with an outcome, and then the learner suffers a loss…

计算机科学与博弈论 · 计算机科学 2011-10-13 András Antos , Gábor Bartók , Dávid Pál , Csaba Szepesvári

Two-player stochastic games are games with two 2 players and a randomised entity called "nature". A natural question to ask in this framework is the existence of strategies that ensure that an event happens with probability 1 (almost-sure…

计算机科学与博弈论 · 计算机科学 2018-06-27 Youssouf Oualhadj , Léo Tible , Daniele Varacca

Adversarial Patrolling games form a subclass of Security games where a Defender moves between locations, guarding vulnerable targets. The main algorithmic problem is constructing a strategy for the Defender that minimizes the worst damage…

人工智能 · 计算机科学 2026-04-22 Vojtěch Kůr , Vít Musil , Vojtěch Řehák

We introduce a two-player model of reinforcement learning with memory. Past actions of an iterated game are stored in a memory and used to determine player's next action. To examine the behaviour of the model some approximate methods are…

统计力学 · 物理学 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos
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