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In this paper, we extend the Descent framework, which enables learning and planning in the context of two-player games with perfect information, to the framework of stochastic games. We propose two ways of doing this, the first way…

Artificial Intelligence · Computer Science 2023-02-10 Quentin Cohen-Solal , Tristan Cazenave

In this paper, we study the class of games known as hidden-role games in which players are assigned privately to teams and are faced with the challenge of recognizing and cooperating with teammates. This model includes both popular…

Computer Science and Game Theory · Computer Science 2026-03-03 Luca Carminati , Brian Hu Zhang , Gabriele Farina , Nicola Gatti , Tuomas Sandholm

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

We examine a two-person game we call Will-Testing in which the strategy space for both players is a real number. It has no equilibrium. When an infinitely large set of players plays this in all possible pairings, there is an equilibrium for…

Computer Science and Game Theory · Computer Science 2012-06-28 Leonid Gurvits , J. Stephen Judd

We study two-player reachability games on finite graphs. At each state the interaction between the players is concurrent and there is a stochastic Nature. Players also play stochastically. The literature tells us that 1) Player B, who wants…

Computer Science and Game Theory · Computer Science 2021-10-29 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

The game of best choice (also known as the secretary problem) is a model for sequential decision making with a long history and many variations. The classical setup assumes that the sequence of candidate rankings are uniformly distributed.…

Combinatorics · Mathematics 2019-11-06 Brant Jones

Adversarial optimal transport has been proven useful as a mathematical formulation to model resource allocation problems to maximize the efficiency of transportation with an adversary, who modifies the data. It is often the case, however,…

Computer Science and Game Theory · Computer Science 2024-03-05 Yinan Hu , Juntao Chen , Quanyan Zhu

The combination of the Bayesian game and learning has a rich history, with the idea of controlling a single agent in a system composed of multiple agents with unknown behaviors given a set of types, each specifying a possible behavior for…

Machine Learning · Computer Science 2024-11-21 Tongxin Li , Tinashe Handina , Shaolei Ren , Adam Wierman

This article extends the idea of solving parity games by strategy iteration to non-deterministic strategies: In a non-deterministic strategy a player restricts himself to some non-empty subset of possible actions at a given node, instead of…

Computer Science and Game Theory · Computer Science 2012-03-20 Michael Luttenberger

"Guess Who?" is a popular two player game where players ask "Yes"/"No" questions to search for their opponent's secret identity from a pool of possible candidates. This is modeled as a simple stochastic game. Using this model, the optimal…

Probability · Mathematics 2025-11-24 Mihai Nica

Projection games constitute an important class of nonlocal games where, for any answer from the first player, there is a unique correct answer for the second player. This class of games captures nonlocal games arising from constraint…

Quantum Physics · Physics 2026-03-17 Eric Culf

We study a complementarity game as a systematic tool for the investigation of the interplay between individual optimization and population effects and for the comparison of different strategy and learning schemes. The game randomly pairs…

Populations and Evolution · Quantitative Biology 2010-11-17 Juergen Jost , Wei Li

In the classic prophet inequality, samples from independent random variables arrive online. A gambler that knows the distributions must decide at each point in time whether to stop and pick the current sample or to continue and lose that…

Data Structures and Algorithms · Computer Science 2019-03-13 Jose Correa , Raimundo Saona , Bruno Ziliotto

Balls-and-bins games have been a wildly successful tool for modeling load balancing problems. In this paper, we study a new scenario, which we call the ball recycling game, defined as follows: Throw m balls into n bins i.i.d. according to a…

Data Structures and Algorithms · Computer Science 2018-11-05 Michael A. Bender , Jake Christensen , Alex Conway , Martín Farach-Colton , Rob Johnson , Meng-Tsung Tsai

We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

Computer Science and Game Theory · Computer Science 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

Communication games, which we refer to as incomplete information games that heavily depend on natural language communication, hold significant research value in fields such as economics, social science, and artificial intelligence. In this…

Computation and Language · Computer Science 2024-05-14 Yuzhuang Xu , Shuo Wang , Peng Li , Fuwen Luo , Xiaolong Wang , Weidong Liu , Yang Liu

We study the problem of agent selection in causal strategic learning under multiple decision makers and address two key challenges that come with it. Firstly, while much of prior work focuses on studying a fixed pool of agents that remains…

Artificial Intelligence · Computer Science 2024-02-06 Kiet Q. H. Vo , Muneeb Aadil , Siu Lun Chau , Krikamol Muandet

The best-response dynamics is an example of an evolutionary game where players update their strategy in order to maximize their payoff. The main objective of this paper is to study a stochastic spatial version of this game based on the…

Probability · Mathematics 2014-07-28 Stephen Evilsizor , Nicolas Lanchier

In this paper, we investigate a pursuit-evasion game in which a mobile observer tries to track a target in an environment containing obstacles. We formulate the game as an optimal control problem with state inequality constraint in a simple…

Optimization and Control · Mathematics 2016-11-16 Rui Zou , Hamid Emadi , Sourabh Bhattacharya

Deception is a technique to mislead human or computer systems by manipulating beliefs and information. For the applications of cyber deception, non-cooperative games become a natural choice of models to capture the adversarial interactions…

Cryptography and Security · Computer Science 2019-02-12 Tao Zhang , Linan Huang , Jeffrey Pawlick , Quanyan Zhu