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In this paper, we study contention resolution protocols from a game-theoretic perspective. We focus on \emph{acknowledgment-based} protocols, where a user gets feedback from the channel only when she attempts transmission. In this case she…

Computer Science and Game Theory · Computer Science 2016-06-22 George Christodoulou , Martin Gairing , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis

We conducted an experiment where participants played a perfect-information game against a computer, which was programmed to deviate often from its backward induction strategy right at the beginning of the game. Participants knew that in…

Computer Science and Game Theory · Computer Science 2016-06-27 Sujata Ghosh , Aviad Heifetz , Rineke Verbrugge

Strategic-form min-max game theory examines the existence, multiplicity, selection of equilibria, and the worst-case computational complexity under perfect rationality. However, in many applications, games are drawn from an ensemble, and…

Computer Science and Game Theory · Computer Science 2026-02-17 Yuma Ichikawa

This paper studies sequential quantum games under the assumption that the moves of the players are drawn from groups and not just plain sets. The extra group structure makes possible to easily derive some very general results characterizing…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos

It is well-known that in finite strategic games true common belief (or common knowledge) of rationality implies that the players will choose only strategies that survive the iterated elimination of strictly dominated strategies. We…

Computer Science and Game Theory · Computer Science 2010-11-24 Krzysztof R. Apt , Jonathan A. Zvesper

We show how solution concepts in games such as Nash equilibrium, correlated equilibrium, rationalizability, and sequential equilibrium can be given a uniform definition in terms of \emph{knowledge-based programs}. Intuitively, all solution…

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern , Yoram Moses

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

This paper studies the implementation of Bayes correlated equilibria in symmetric Bayesian games with nonatomic players, using direct information structures and obedient strategies. The main results demonstrate full implementation in a…

Theoretical Economics · Economics 2026-02-25 Frederic Koessler , Marco Scarsini , Tristan Tomala

In order to coordinate players in a game must first identify a target pattern of behaviour. In this paper we investigate the difficulty of identifying prominent outcomes in two kinds of binary action coordination problems in social…

Theoretical Economics · Economics 2023-11-21 Argyrios Deligkas , Eduard Eiben , Gregory Gutin , Philip R. Neary , Anders Yeo

A traditional assumption in game theory is that players are opaque to one another---if a player changes strategies, then this change in strategies does not affect the choice of other players' strategies. In many situations this is an…

Computer Science and Game Theory · Computer Science 2013-08-20 Joseph Y. Halpern , Rafael Pass

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

We introduce one-way games, a framework motivated by applications in large-scale power restoration, humanitarian logistics, and integrated supply-chains. The distinguishable feature of the games is that the payoff of some player is…

Computer Science and Game Theory · Computer Science 2015-07-28 Andres Abeliuk , Gerardo Berbeglia , Pascal Van Hentenryck

In finite games mixed Nash equilibria always exist, but pure equilibria may fail to exist. To assess the relevance of this nonexistence, we consider games where the payoffs are drawn at random. In particular, we focus on games where a large…

Computer Science and Game Theory · Computer Science 2020-06-18 Ben Amiet , Andrea Collevecchio , Marco Scarsini , Ziwen Zhong

The standard game-theoretic solution concept, Nash equilibrium, assumes that all players behave rationally. If we follow a Nash equilibrium and opponents are irrational (or follow strategies from a different Nash equilibrium), then we may…

Computer Science and Game Theory · Computer Science 2023-08-22 Sam Ganzfried

Strategic reasoning enables agents to cooperate, communicate, and compete with other agents in diverse situations. Existing approaches to solving strategic games rely on extensive training, yielding strategies that do not generalize to new…

Artificial Intelligence · Computer Science 2023-05-31 Kanishk Gandhi , Dorsa Sadigh , Noah D. Goodman

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

We investigate the dynamics of coordination and consensus in an agent population. Considering agents endowed with bounded rationality, we study asymmetric coordination games using a mapping to random field Ising models. In doing so, we…

Physics and Society · Physics 2024-05-22 Filippo Zimmaro , Serge Galam , Marco Alberto Javarone

Intelligent physical systems as embodied cognitive systems must perform high-level reasoning while concurrently managing an underlying control architecture. The link between cognition and control must manage the problem of converting…

The term rational has become synonymous with maximizing expected payoff in the definition of the best response in Nash setting. In this work, we consider stochastic games in which players engage only once, or at most a limited number of…

Computer Science and Game Theory · Computer Science 2020-02-21 Ali Yekkehkhany , Timothy Murray , Rakesh Nagi

This paper investigates mixed strategies in dynamic games with perfect information. We present an example to show that a player may obtain higher payoff by playing mixed strategy. By contrast, the main result of the paper shows that every…

Optimization and Control · Mathematics 2020-01-01 Enxian Chen , Wei He , Yeneng Sun , Hanping Xu
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