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Obliging games have been introduced in the context of the game perspective on reactive synthesis in order to enforce a degree of cooperation between the to-be-synthesized system and the environment. Previous approaches to the analysis of…

Computer Science and Game Theory · Computer Science 2024-07-17 Daniel Hausmann , Nir Piterman

In classical game theory, optimal strategies are determined for games with complete information; this requires knowledge of the opponent's goals. We analyze games when a player is mistaken about their opponents goals. For definitiveness, we…

Computer Science and Game Theory · Computer Science 2023-07-21 Dan Zwillinger , Paul San Clemente

In increasingly different contexts, it happens that a human player has to interact with artificial players who make decisions following decision-making algorithms. How should the human player play against these algorithms to maximize his…

Computer Science and Game Theory · Computer Science 2022-02-22 Maurizio D 'Andrea

The recent discovery of zero-determinant strategies for the iterated Prisoner's Dilemma sparked a surge of interest in the surprising fact that a player can exert unilateral control over iterated interactions. These remarkable strategies,…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert

We here study the Battle of the Sexes game, a textbook case of asymmetric games, on small networks. Due to the conflicting preferences of the players, analytical approaches are scarce and most often update strategies are employed in…

Physics and Society · Physics 2021-08-24 A. D. Correia , L. L. Leestmaker , H. T. C. Stoof

We study the strategic aspects of social influence in a society of agents linked by a trust network, introducing a new class of games called games of influence. A game of influence is an infinite repeated game with incomplete information in…

Computer Science and Game Theory · Computer Science 2016-02-09 Umberto Grandi , Emiliano Lorini , Laurent Perrussel

We consider games with two antagonistic players --- \'Elo\"ise (modelling a program) and Ab\'elard (modelling a byzantine environment) --- and a third, unpredictable and uncontrollable player, that we call Nature. Motivated by the fact that…

Formal Languages and Automata Theory · Computer Science 2020-10-14 Arnaud Carayol , Olivier Serre

We provide, to the best of our knowledge, the first computational study of extensive-form adversarial team games. These games are sequential, zero-sum games in which a team of players, sharing the same utility function, faces an adversary.…

Artificial Intelligence · Computer Science 2017-11-21 Andrea Celli , Nicola Gatti

Zero-determinant strategies are memory-one strategies in repeated games which unilaterally enforce linear relations between expected payoffs of players. Recently, the concept of zero-determinant strategies was extended to the class of…

Optimization and Control · Mathematics 2022-09-07 Masahiko Ueda

We study a game for recognising formal languages, in which two players with imperfect information need to coordinate on a common decision, given private input words correlated by a finite graph. The players have a joint objective to avoid…

Formal Languages and Automata Theory · Computer Science 2016-04-27 Dietmar Berwanger , Marie van den Bogaard

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

We consider control of heterogeneous players repeatedly playing an anti-coordination network game. In an anti-coordination game, each player has an incentive to differentiate its action from its neighbors. At each round of play, players…

Systems and Control · Computer Science 2018-12-13 Ceyhun Eksin , Keith Paarporn

A repeated network game where agents have quadratic utilities that depend on information externalities -- an unknown underlying state -- as well as payoff externalities -- the actions of all other agents in the network -- is considered.…

Systems and Control · Computer Science 2015-06-12 Ceyhun Eksin , Pooya Molavi , Alejandro Ribeiro , Ali Jadbabaie

Past efforts to classify impartial three-player combinatorial games (the theories of Li and Straffin) have made various restrictive assumptions about the rationality of one's opponents and the formation and behavior of coalitions. One may…

Combinatorics · Mathematics 2007-05-23 James Propp

Infinite games with imperfect information are known to be undecidable unless the information flow is severely restricted. One fundamental decidable case occurs when there is a total ordering among players, such that each player has access…

Computer Science and Game Theory · Computer Science 2016-07-19 Dietmar Berwanger , Anup Basil Mathew , Marie van den Bogaard

This paper presents an approach that brings together game theory with grammatical inference and discrete abstractions in order to synthesize control strategies for hybrid dynamical systems performing tasks in partially unknown but…

Robotics · Computer Science 2012-10-08 Jie Fu , Herbert G. Tanner , Jeffrey Heinz , Jane Chandlee , Konstantinos Karydis , Cesar Koirala

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,…

Machine Learning · Computer Science 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

Game theory provides a mathematical framework for analysing strategic situations involving at least two players. Normal-form games model situations where the players simultaneously pick their moves. In this thesis we explore the strategic…

Combinatorics · Mathematics 2019-05-03 Nicholas Ham

Zero-sum stochastic games generalize the notion of Markov Decision Processes (i.e. controlled Markov chains, or stochastic dynamic programming) to the 2-player competitive case : two players jointly control the evolution of a state…

Optimization and Control · Mathematics 2019-05-17 Jérôme Renault

Combinatorial Game Theory is a branch of mathematics and theoretical computer science that studies sequential 2-player games with perfect information. Normal play is the convention where a player who cannot move loses. Here, we generalize…

Computer Science and Game Theory · Computer Science 2023-10-31 Prem Kant , Urban Larsson , Ravi K. Rai , Akshay V. Upasany