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We present a novel method to compute \emph{permissive winning strategies} in two-player games over finite graphs with $ \omega $-regular winning conditions. Given a game graph $G$ and a parity winning condition $\Phi$, we compute a…

Computer Science and Game Theory · Computer Science 2024-01-23 Ashwani Anand , Satya Prakash Nayak , Anne-Kathrin Schmuck

We solve the problem of automatically computing a new class of environment assumptions in two-player turn-based finite graph games which characterize an ``adequate cooperation'' needed from the environment to allow the system player to win.…

Computer Science and Game Theory · Computer Science 2024-01-23 Ashwani Anand , Kaushik Mallik , Satya Prakash Nayak , Anne-Kathrin Schmuck

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…

Computer Science and Game Theory · Computer Science 2014-11-04 Krishnendu Chatterjee , Mickael Randour , Jean-François Raskin

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…

Logic in Computer Science · Computer Science 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…

Computer Science and Game Theory · Computer Science 2026-01-08 Laurent Doyen , Shibashis Guha

We present a general theorem for distributed synthesis problems in coordination games with $\omega$-regular objectives of the form: If there exists a winning strategy for the coalition, then there exists an "essential" winning strategy,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-27 Dietmar Berwanger , Anup Basil Mathew , R. Ramanujam

We consider two-player partial-observation stochastic games on finite-state graphs where player 1 has partial observation and player 2 has perfect observation. The winning condition we study are \omega-regular conditions specified as parity…

Logic in Computer Science · Computer Science 2014-01-15 Krishnendu Chatterjee , Laurent Doyen , Sumit Nain , Moshe Y. Vardi

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…

Computer Science and Game Theory · Computer Science 2013-06-14 Parosh Aziz Abdulla , Lorenzo Clemente , Richard Mayr , Sven Sandberg

This paper considers the problem of solving infinite two-player games over finite graphs under various classes of progress assumptions motivated by applications in cyber-physical system (CPS) design. Formally, we consider a game graph G, a…

Computer Science and Game Theory · Computer Science 2024-01-23 Anne-Kathrin Schmuck , K. S. Thejaswini , Irmak Sağlam , Satya Prakash Nayak

We study the automatic synthesis of fair non-repudiation protocols, a class of fair exchange protocols, used for digital contract signing. First, we show how to specify the objectives of the participating agents and the trusted third party…

Logic in Computer Science · Computer Science 2011-11-15 Krishnendu Chatterjee , Vishwanath Raman

We extend the quantitative synthesis framework by going beyond the worst-case. On the one hand, classical analysis of two-player games involves an adversary (modeling the environment of the system) which is purely antagonistic and asks for…

Computer Science and Game Theory · Computer Science 2015-11-02 Véronique Bruyère , Emmanuel Filiot , Mickael Randour , Jean-François Raskin

This paper considers the problem of co-synthesis in $k$-player games over a finite graph where each player has an individual $\omega$-regular specification $\phi_i$. In this context, a secure equilibrium (SE) is a Nash equilibrium w.r.t.…

Computer Science and Game Theory · Computer Science 2024-01-23 Satya Prakash Nayak , Anne-Kathrin Schmuck

Several problems in planning and reactive synthesis can be reduced to the analysis of two-player quantitative graph games. {\em Optimization} is one form of analysis. We argue that in many cases it may be better to replace the optimization…

Formal Languages and Automata Theory · Computer Science 2021-01-08 Suguman Bansal , Krishnendu Chatterjee , Moshe Y. Vardi

We consider game-theoretically secure distributed protocols for coalition games that approximate the Shapley value with small multiplicative error. Since all known existing approximation algorithms for the Shapley value are randomized, it…

Computer Science and Game Theory · Computer Science 2024-12-30 T-H. Hubert Chan , Qipeng Kuang , Quan Xue

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…

Logic in Computer Science · Computer Science 2016-04-22 Krishnendu Chatterjee , Laurent Doyen

We study synthesis problems with constraints in partially observable Markov decision processes (POMDPs), where the objective is to compute a strategy for an agent that is guaranteed to satisfy certain safety and performance specifications.…

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…

Computer Science and Game Theory · Computer Science 2013-06-21 Krishnendu Chatterjee

Petri games are a multiplayer game model for the automatic synthesis of distributed systems. We compare two fundamentally different approaches for solving Petri games. The symbolic approach decides the existence of a winning strategy via a…

Logic in Computer Science · Computer Science 2017-11-30 Bernd Finkbeiner , Manuel Gieseking , Jesko Hecking-Harbusch , Ernst-Rüdiger Olderog

We propose novel controller synthesis techniques for probabilistic systems modelled using stochastic two-player games: one player acts as a controller, the second represents its environment, and probability is used to capture uncertainty…

Logic in Computer Science · Computer Science 2017-01-11 Klaus Drager , Vojtech Forejt , Marta Kwiatkowska , David Parker , Mateusz Ujma

We consider two-player games played on finite graphs equipped with costs on edges and introduce two winning conditions, cost-parity and cost-Streett, which require bounds on the cost between requests and their responses. Both conditions…

Logic in Computer Science · Computer Science 2015-07-01 Nathanaël Fijalkow , Martin Zimmermann
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