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From the beginning if the history of AI, there has been interest in games as a platform of research. As the field developed, human-level competence in complex games became a target researchers worked to reach. Only relatively recently has…

Artificial Intelligence · Computer Science 2019-08-30 Rodrigo Canaan , Christoph Salge , Julian Togelius , Andy Nealen

We study testable implications of multiple equilibria in discrete games with incomplete information. Unlike de Paula and Tang (2012), we allow the players' private signals to be correlated. In static games, we leverage independence of…

Econometrics · Economics 2020-12-03 Aureo de Paula , Xun Tang

This paper reviews an experiment in human-computer interaction, where interaction takes place when humans attempt to teach a computer to play a strategy board game. We show that while individually learned models can be shown to improve the…

Artificial Intelligence · Computer Science 2009-11-06 Dimitris Kalles , Ilias Fykouras

We consider a version of large population games whose players compete for resources using strategies with adaptable preferences. The system efficiency is measured by the variance of the decisions. In the regime where the system can be…

Condensed Matter · Physics 2009-11-10 K. Y. Michael Wong , S. W. Lim , Peixun Luo

We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank…

Optimization and Control · Mathematics 2018-11-02 Erhan Bayraktar , Jakša Cvitanić , Yuchong Zhang

Given entropy's central role in multiple areas of physics and science, one important task is to develop a systematic and unifying approach to defining entropy. Games of chance become a natural candidate for characterising the uncertainty of…

Quantum Physics · Physics 2022-02-23 Sarah Brandsen , Isabelle Jianing Geng , Gilad Gour

A cellular game is a dynamical system in which cells, placed in some discrete structure, are regarded as playing a game with their immediate neighbors. Individual strategies may be either deterministic or stochastic. Strategy success is…

adap-org · Physics 2008-02-03 Lenore Levine

In this paper we introduce the novel framework of distributionally robust games. These are multi-player games where each player models the state of nature using a worst-case distribution, also called adversarial distribution. Thus each…

Optimization and Control · Mathematics 2017-07-25 Dario Bauso , Jian Gao , Hamidou Tembine

In an earlier experiment, 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 each game,…

Computer Science and Game Theory · Computer Science 2017-07-28 Sujata Ghosh , Aviad Heifetz , Rineke Verbrugge , Harmen de Weerd

We propose a controlled simulation within a competitive sum-zero environment as a proxy for disaggregating components of success. Given a simulation of the Risk board game, we consider (a) Talent to be one of three rule-based strategies…

Physics and Society · Physics 2020-02-18 Bernardo Alves Furtado

In fantasy sports, strategic thinking-not mere luck-often defines who wins and who falls short. As fantasy cricket grows in popularity across India, understanding whether success stems from skill or chance has become both an analytical and…

Applications · Statistics 2025-12-23 Supratim Das , Sarthak Sarkar , Subhamoy Maitra , Tridib Mukherjee

Understanding the properties of games played under computational constraints remains challenging. For example, how do we expect rational (but computationally bounded) players to play games with a prohibitively large number of states, such…

Computer Science and Game Theory · Computer Science 2021-05-20 Thomas Orton

Various social dilemma games that follow different strategy updating rules have been studied on many networks.The reported results span the entire spectrum, from significantly boosting,to marginally affecting,to seriously decreasing the…

Physics and Society · Physics 2015-06-17 Qiang Zhang , Tianxiao Qi , Keqiang Li , Zengru Di , Jinshan Wu

Fighting Fantasy is a popular recreational fantasy gaming system worldwide. Combat in this system progresses through a stochastic game involving a series of rounds, each of which may be won or lost. Each round, a limited resource (`luck')…

Artificial Intelligence · Computer Science 2020-02-25 Iain G. Johnston

We compare four different `game-spaces' in terms of their usefulness in characterising multi-player tabletop games, with a particular interest in any underlying change to a game's characteristics as the number of players changes. In each…

Artificial Intelligence · Computer Science 2022-02-14 James Goodman , Diego Perez-Liebana , Simon Lucas

We study variants of a stochastic game inspired by backgammon where players may propose to double the stake, with the game state dictated by a one-dimensional random walk. Our variants allow for different numbers of proposals and different…

Optimization and Control · Mathematics 2024-10-28 Haoru Ju , Daniel Leifer , Steven J. Miller , Sooraj A. Padmanabhan , Chenyang Sun , Luke Tichi , Benjamin Tocher , Kiley Wallace

The central result of classical game theory states that every finite normal form game has a Nash equilibrium, provided that players are allowed to use randomized (mixed) strategies. However, in practice, humans are known to be bad at…

Computer Science and Game Theory · Computer Science 2015-07-07 Pavel Hubáček , Moni Naor , Jonathan Ullman

We study adaptive learning in a typical p-player game. The payoffs of the games are randomly generated and then held fixed. The strategies of the players evolve through time as the players learn. The trajectories in the strategy space…

Economics · Quantitative Finance 2018-04-09 James B. T. Sanders , J. Doyne Farmer , Tobias Galla

We establish a general formula for the distribution of the score in table tennis. We use this formula to derive the probability distribution (and hence the expectation and variance) of the number of rallies necessary to achieve any given…

Applications · Statistics 2011-10-02 Yves Dominicy , Christophe Ley , Yvik Swan

Simple stochastic games are turn-based 2.5-player zero-sum graph games with a reachability objective. The problem is to compute the winning probability as well as the optimal strategies of both players. In this paper, we compare the three…

Computer Science and Game Theory · Computer Science 2022-07-21 Jan Kretinsky , Emanuel Ramneantu , Alexander Slivinskiy , Maximilian Weininger