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In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states.…

计算机科学与博弈论 · 计算机科学 2011-07-13 Krishnendu Chatterjee , Laurent Doyen

We consider multi-player graph games with partial-observation and parity objective. While the decision problem for three-player games with a coalition of the first and second players against the third player is undecidable, we present a…

计算机科学中的逻辑 · 计算机科学 2014-04-23 Krishnendu Chatterjee , Laurent Doyen

We consider 2-player games played on a finite state space for infinite rounds. The games are concurrent: in each round, the two players choose their moves simultaneously; the current state and the moves determine the successor. We consider…

计算机科学与博弈论 · 计算机科学 2013-06-21 Krishnendu Chatterjee

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on {\it lossy channel systems}, under the constraint that both players are restricted to finite-memory strategies. First, we describe a general…

计算机科学中的逻辑 · 计算机科学 2019-03-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

We consider turn-based stochastic two-player games with a combination of a parity condition that must hold surely, that is in all possible outcomes, and of a parity condition that must hold almost-surely, that is with probability 1. The…

计算机科学与博弈论 · 计算机科学 2026-01-08 Laurent Doyen , Shibashis Guha

We study Markov decision processes and turn-based stochastic games with parity conditions. There are three qualitative winning criteria, namely, sure winning, which requires all paths must satisfy the condition, almost-sure winning, which…

计算机科学中的逻辑 · 计算机科学 2018-04-11 Krishnendu Chatterjee , Nir Piterman

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on lossy channel systems, for the case where the players are restricted to finite-memory strategies. First, we describe a general framework, where…

计算机科学与博弈论 · 计算机科学 2013-06-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

We study observation-based strategies for partially-observable Markov decision processes (POMDPs) with omega-regular objectives. An observation-based strategy relies on partial information about the history of a play, namely, on the past…

计算机科学中的逻辑 · 计算机科学 2015-05-14 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger

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

We study a model of games that combines concurrency, imperfect information and stochastic aspects. Those are finite states games in which, at each round, the two players choose, simultaneously and independently, an action. Then a successor…

形式语言与自动机理论 · 计算机科学 2011-08-31 Vincent Gripon , Olivier Serre

We consider partially observable Markov decision processes (POMDPs) with {\omega}-regular conditions specified as parity objectives. The class of {\omega}-regular languages extends regular languages to infinite strings and provides a robust…

计算机科学中的逻辑 · 计算机科学 2013-09-12 Krishnendu Chatterjee , Martin Chmelik , Mathieu Tracol

Quantitative extensions of parity games have recently attracted significant interest. These extensions include parity games with energy and payoff conditions as well as finitary parity games and their generalization to parity games with…

计算机科学与博弈论 · 计算机科学 2023-06-22 Sven Schewe , Alexander Weinert , Martin Zimmermann

Many problems in compositional synthesis and verification of multi-agent systems -- such as rational verification and assume-guarantee verification in probabilistic systems -- reduce to reasoning about two-player multi-objective stochastic…

计算机科学与博弈论 · 计算机科学 2026-02-16 Moritz Graf , Anthony Lin , Rupak Majumdar

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 study \emph{partial-information} two-player turn-based games on graphs with omega-regular objectives, when the partial-information player has \emph{limited memory}. Such games are a natural formalization for reactive synthesis when the…

形式语言与自动机理论 · 计算机科学 2020-02-19 Dhananjay Raju , Rüdiger Ehlers , Ufuk Topcu

Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we…

计算机科学与博弈论 · 计算机科学 2014-11-04 Krishnendu Chatterjee , Mickael Randour , Jean-François Raskin

Energy parity games are infinite two-player turn-based games played on weighted graphs. The objective of the game combines a (qualitative) parity condition with the (quantitative) requirement that the sum of the weights (i.e., the level of…

计算机科学中的逻辑 · 计算机科学 2012-04-04 Krishnendu Chatterjee , Laurent Doyen

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

Two-player games on graphs provide the mathematical foundation for the study of reactive systems. In the quantitative framework, an objective assigns a value to every play, and the goal of player 1 is to minimize the value of the objective.…

计算机科学中的逻辑 · 计算机科学 2014-04-30 Yaron Velner

Consider concurrent, infinite duration, two-player win/lose games played on graphs. If the winning condition satisfies some simple requirement, the existence of Player 1 winning (finite-memory) strategies is equivalent to the existence of…

计算机科学中的逻辑 · 计算机科学 2018-05-01 Stephane Le Roux
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