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This paper introduces an explicit algorithm for computing perfect public equilibrium (PPE) payoffs in repeated games with imperfect public monitoring, public randomization, and discounting. The method adapts the established framework by…

理论经济学 · 经济学 2024-11-05 Jasmina Karabegovic

The article provides a solution algorithm for the linear programming problem (LPP) with the latter being presented as an antagonistic matrix game so the game's further solution is based on the iterative method. The algorithm is presented as…

最优化与控制 · 数学 2019-05-15 Vilisov V. Ya

The present work consisted in developing a plateau game. There are the traditional ones (monopoly, cluedo, ect.) but those which interest us leave less place at the chance (luck) than to the strategy such that the chess game. Kallah is an…

人工智能 · 计算机科学 2009-02-18 Kaninda Musumbu

Abalone is a 2-player board game with perfect information. The game is played on a 5x5x5 hexagonal grid and ends when a player pushes 6 of their opponents' pieces off the board. Abalone is similar to games like chess and Go in that all…

组合数学 · 数学 2023-08-08 Joseph Gutstadt , Kirsten Hogenson , John Koerner

We describe an algorithm for computing best response strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents' types and actions, conditional on linear comparisons of…

计算机科学与博弈论 · 计算机科学 2012-07-19 Daniel Reeves , Michael P. Wellman

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 investigate the interrelation between graph searching games and games with imperfect information. As key consequence we obtain that parity games with bounded imperfect information can be solved in PTIME on graphs of bounded DAG-width…

计算机科学与博弈论 · 计算机科学 2015-03-19 Bernd Puchala , Roman Rabinovich

Multiplayer online gaming has witnessed an explosion in popularity over the past two decades. However, security issues continue to give rise to in-game cheating, deterring honest gameplay, detracting from user experience, and ultimately…

密码学与安全 · 计算机科学 2025-01-22 Yaqi Cai , Konstantinos Markantonakis , Carlton Shepherd

In a network game, players interact over a network and the utility of each player depends on his own action and on an aggregate of his neighbours' actions. Many real world networks of interest are asymmetric and involve a large number of…

计算机科学与博弈论 · 计算机科学 2025-08-12 Kiran Rokade , Adit Jain , Francesca Parise , Vikram Krishnamurthy , Eva Tardos

This paper studies two-player zero-sum stochastic Bayesian games where each player has its own dynamic state that is unknown to the other player. Using typical techniques, we provide the recursive formulas and sufficient statistics in both…

计算机科学与博弈论 · 计算机科学 2021-05-05 Nabiha Nasir Orpa , Lichun Li

Our ability to know when to trust the decisions made by machine learning systems has not kept up with the staggering improvements in their performance, limiting their applicability in high-stakes domains. We introduce Prover-Verifier Games…

机器学习 · 计算机科学 2021-08-30 Cem Anil , Guodong Zhang , Yuhuai Wu , Roger Grosse

We consider a two-player zero-sum game with integral payoff and with incomplete information on one side, where the payoff is chosen among a continuous set of possible payoffs. We prove that the value function of this game is solution of an…

概率论 · 数学 2012-02-23 Pierre Cardaliaguet , Catherine Rainer

Parity games have important practical applications in formal verification and synthesis, especially to solve the model-checking problem of the modal mu-calculus. They are also interesting from the theory perspective, as they are widely…

计算机科学中的逻辑 · 计算机科学 2018-07-30 Tom van Dijk

Poker is in the family of imperfect information games unlike other games such as chess, connect four, etc which are perfect information game instead. While many perfect information games have been solved, no non-trivial imperfect…

计算机科学与博弈论 · 计算机科学 2024-01-15 Prathamesh Sonawane , Arav Chheda

Muller games are played by two players moving a token along a graph; the winner is determined by the set of vertices that occur infinitely often. The central algorithmic problem is to compute the winning regions for the players. Different…

计算机科学中的逻辑 · 计算机科学 2013-07-24 A. Grinshpun , P. Phalitnonkiat , S. Rubin , A. Tarfulea

For zero-sum two-player continuous-time games with integral payoff and incomplete information on one side, one shows that the optimal strategy of the informed player can be computed through an auxiliary optimization problem over some…

概率论 · 数学 2008-10-02 Pierre Cardaliaguet , Catherine Rainer

We study observation-based strategies for two-player turn-based games on graphs with omega-regular objectives. An observation-based strategy relies on imperfect information about the history of a play, namely, on the past sequence of…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Krishnendu Chatterjee , Laurent Doyen , Thomas A. Henzinger , <br> Jean-Francois Raskin

Something is definitely wrong. If the game has a linear winning strategy, then it is tractable. What's going on? Well, we describe a two-person game which has a definite winner, that is, a player who can force a win in a finite number of…

组合数学 · 数学 2016-09-07 Aviezri S. Fraenkel

Two-player graph games have found numerous applications, most notably in the synthesis of reactive systems from temporal specifications, but also in verification. The relevance of infinite-state systems in these areas has lead to…

计算机科学中的逻辑 · 计算机科学 2023-11-08 Philippe Heim , Rayna Dimitrova

This paper is concerned with a three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information, in which three players participate credited as Player 1, Player 2 and Player 3. Player 3 acts as the leader of…

最优化与控制 · 数学 2022-10-24 Kaixin Kang , Jingtao Shi