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Most algorithmic studies on multi-agent information design so far have focused on the restricted situation with no inter-agent externalities; a few exceptions investigated truly strategic games such as zero-sum games and second-price…

Computer Science and Game Theory · Computer Science 2022-09-07 Chenghan Zhou , Thanh H. Nguyen , Haifeng Xu

By resorting to the vector space structure of finite games, skew-symmetric games (SSGs) are proposed and investigated as a natural subspace of finite games. First of all, for two player games, it is shown that the skew-symmetric games form…

Computer Science and Game Theory · Computer Science 2017-12-11 Yaqi Hao , Daizhan Cheng

A model of stochastic games where multiple controllers jointly control the evolution of the state of a dynamic system but have access to different information about the state and action processes is considered. The asymmetry of information…

Computer Science and Game Theory · Computer Science 2012-09-18 Ashutosh Nayyar , Abhishek Gupta , Cédric Langbort , Tamer Başar

We study best-response type learning dynamics for zero-sum polymatrix games under two information settings. The two settings are distinguished by the type of information that each player has about the game and their opponents' strategy. The…

Optimization and Control · Mathematics 2025-08-13 Fathima Zarin Faizal , Asuman Ozdaglar , Martin J. Wainwright

Real-world games, which concern imperfect information, multiple players, and simultaneous moves, are less frequently discussed in the existing literature of game theory. While reinforcement learning (RL) provides a general framework to…

Computer Science and Game Theory · Computer Science 2023-06-02 Runyu Lu , Yuanheng Zhu , Dongbin Zhao

We propose an extension of Strategy Logic (SL), in which one can both reason about strategizing under imperfect information and about players' knowledge. One original aspect of our approach is that we do not force strategies to be uniform,…

Logic in Computer Science · Computer Science 2019-08-08 Sophia Knight , Bastien Maubert

Unlike Poker where the action space $\mathcal{A}$ is discrete, differential games in the physical world often have continuous action spaces not amenable to discrete abstraction, rendering no-regret algorithms with…

Computer Science and Game Theory · Computer Science 2025-02-17 Mukesh Ghimire , Zhe Xu , Yi Ren

Limited lookahead has been studied for decades in perfect-information games. We initiate a new direction via two simultaneous deviation points: generalization to imperfect-information games and a game-theoretic approach. We study how one…

Computer Science and Game Theory · Computer Science 2020-03-20 Christian Kroer , Tuomas Sandholm

This paper examines games with strategic complements or substitutes and incomplete information, where players are uncertain about the opponents' parameters. We assume that the players' beliefs about the opponent's parameters are selected…

Theoretical Economics · Economics 2025-01-28 Joep van Sloun

A Bayesian game is said to have nested information if the players are ordered, and each player knows the types of all players that follow her in that order. We prove that all multiplayer Bayesian games with finite actions spaces, bounded…

Probability · Mathematics 2025-02-24 Royi Jacobovic , John Yehuda Levy , Eilon Solan

We consider perfect-information reachability stochastic games for 2 players on infinite graphs. We identify a subclass of such games, and prove two interesting properties of it: first, Player Max always has optimal strategies in games from…

Computer Science and Game Theory · Computer Science 2011-06-10 Václav Brožek

We introduce a new class of games where each player's aim is to randomise her strategic choices in order to affect the other players' expectations aside from her own. The way each player intends to exert this influence is expressed through…

Computer Science and Game Theory · Computer Science 2014-04-04 Lluís Godo , Enrico Marchioni

We consider zero-sum stochastic games with perfect information and finitely many states and actions. The payoff is computed by a function which associates to each infinite sequence of states and actions a real number. We prove that if the…

Computer Science and Game Theory · Computer Science 2022-03-29 Hugo Gimbert , Edon Kelmendi

In timeline-based planning, domains are described as sets of independent, but interacting, components, whose behaviour over time (the set of timelines) is governed by a set of temporal constraints. A distinguishing feature of timeline-based…

Artificial Intelligence · Computer Science 2019-05-28 Nicola Gigante , Angelo Montanari , Marta Cialdea Mayer , Andrea Orlandini , Mark Reynolds

This work, based on the author's MA thesis, concentrates on simultaneous move quantum games of two players. A numerical algorithm based on the method of best response functions, designed to search for pure strategy Nash equilibrium in…

Quantum Physics · Physics 2013-06-07 Y. Avishai

Combinatorial games are two-player games of pure strategy where the players, usually called Left and Right, move alternately. In this paper, we introduce Cheating Robot games. These arise from simultaneous-play combinatorial games where one…

Combinatorics · Mathematics 2022-02-11 Melissa A. Huggan , Richard J. Nowakowski

We define a new concept of "mistake" strategies and actions for strategic-form and extensive-form games, analyze the relationship to prior main game-theoretic solution concepts, study algorithms for computation, and explore practicality.…

Computer Science and Game Theory · Computer Science 2020-10-29 Sam Ganzfried

Games have a long history as benchmarks for progress in artificial intelligence. Approaches using search and learning produced strong performance across many perfect information games, and approaches using game-theoretic reasoning and…

Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player-two…

Quantum Physics · Physics 2007-05-23 Sahin Kaya Ozdemir , Junichi Shimamura , Nobuyuki Imoto

We introduce quantitative reductions, a novel technique for structuring the space of quantitative games and solving them that does not rely on a reduction to qualitative games. We show that such reductions exhibit the same desirable…

Computer Science and Game Theory · Computer Science 2018-09-12 Alexander Weinert
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