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The dynamics of minority games with agents trading on different time scales is studied via dynamical mean-field theory. We analyze the case where the agents' decision-making process is deterministic and its stochastic generalization with…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea De Martino

We consider an autonomous navigation problem, whereby a traveler aims at traversing an environment in which an adversary tries to set an ambush. A two players zero sum game is introduced. Players' strategies are computed as random path…

Robotics · Computer Science 2016-12-08 Emmanuel Boidot , Aude Marzuoli , Eric Feron

It is generally believed that in a situation where individual and collective interests are in conflict, the availability of optional participation is a key mechanism to maintain cooperation. Surprisingly, this effect is sensitive to the use…

Physics and Society · Physics 2023-06-21 Marcos Cardinot , Colm O'Riordan , Josephine Griffith , Attila Szolnoki

We consider a model that demonstrates the crucial role of inertia and stickiness in multi-agent systems, based on the Minority Game (MG). The inertia of an agent is introduced into the game model by allowing agents to apply hypothesis…

Physics and Society · Physics 2009-11-11 W. C. Man , H. F. Chau

We investigate the repeated prisoner's dilemma game where both players alternately use reinforcement learning to obtain their optimal memory-one strategies. We theoretically solve the simultaneous Bellman optimality equations of…

Computer Science and Game Theory · Computer Science 2021-06-02 Yuki Usui , Masahiko Ueda

We study the dynamics and statics of a dilute batch minority game with random external information. We focus on the case in which the number of connections per agent is infinite in the thermodynamic limit. The dynamical scenario of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tobias Galla

Ecologists and economists try to explain collective behavior in terms of competitive systems of selfish individuals with the ability to learn from the past. Statistical physicists have been investigating models which might contribute to the…

Statistical Mechanics · Physics 2009-11-07 Susanne Moelbert , Paolo De Los Rios

In large systems, it is important for agents to learn to act effectively, but sophisticated multi-agent learning algorithms generally do not scale. An alternative approach is to find restricted classes of games where simple, efficient…

Multiagent Systems · Computer Science 2009-03-16 Ian A. Kash , Eric J. Friedman , Joseph Y. Halpern

We study a game where one player selects a random function, and the other has to guess that function, and show that with high probability the second player can correctly guess most of the random function. We apply this analysis to…

Optimization and Control · Mathematics 2023-11-28 Catherine Rainer , Eilon Solan

We show analytically how the fluctuations (i.e. standard deviation) in the Minority Game (MG) can be made to decrease below the random coin-toss limit if the agents use more general behavioral strategies. This suppression of the standard…

Condensed Matter · Physics 2009-10-31 M. Hart , P. Jefferies , N. F. Johnson , P. M. Hui

We study the role of imitation within the Minority Game model of market. The players can exchange information locally, which leads to formation of groups which act as if they were single players. Coherent spatial areas of rich and poor…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina

Strategic diversity is often essential in games: in multi-player games, for example, evaluating a player against a diverse set of strategies will yield a more accurate estimate of its performance. Furthermore, in games with…

Artificial Intelligence · Computer Science 2021-10-11 Marta Garnelo , Wojciech Marian Czarnecki , Siqi Liu , Dhruva Tirumala , Junhyuk Oh , Gauthier Gidel , Hado van Hasselt , David Balduzzi

In this paper, we study a subclass of n-player stochastic games, in which each player has their own internal state controlled only by their own action and their objective is a common goal called team variance which measures the total…

Optimization and Control · Mathematics 2025-07-31 Li Xia

We study the problem of achieving decentralized coordination by a group of strategic decision makers choosing to engage or not in a task in a stochastic setting. First, we define a class of symmetric utility games that encompass a broad…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Marcos M. Vasconcelos , Behrouz Touri

In this paper I present several algorithmic techniques for improving the decision process of multiple types of agents behaving in environments where their interests are in conflict. The interactions between the agents are modelled by using…

Computer Science and Game Theory · Computer Science 2009-08-04 Mugurel Ionut Andreica

Economic ensembles can be modeled as networks of interacting agents whose be-haviors are described in terms of game theory. The evolutionary paradigm has been applied to two-person games to discover strategies in this context.…

Condensed Matter · Physics 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah

The field of Game Theory provides a useful mechanism for modeling many decision-making scenarios. In participating in these scenarios individuals and groups adopt particular strategies, which generally perform with varying levels of…

Multiagent Systems · Computer Science 2018-07-24 Francis Lawlor , Rem Collier , Vivek Nallur

We study a decision-maker's problem of finding optimal monetary incentive schemes for retention when faced with agents whose participation decisions (stochastically) depend on the incentive they receive. Our focus is on policies constrained…

Computer Science and Game Theory · Computer Science 2024-07-31 Daniel Freund , Chamsi Hssaine

This paper proposes a modification to Minority Game (MG) by adding some agents who play majority game into MG. So it is referred to as mix-game. The highlight of this model is that the two groups of agents in mix-game have different bounded…

Physics and Society · Physics 2015-06-26 Chengling Gou

The ability of a deterministic, plastic system to learn to imitate stochastic behavior is analyzed. Two neural networks -actually, two perceptrons- are put to play a zero-sum game one against the other. The competition, by acting as a kind…

Disordered Systems and Neural Networks · Physics 2009-10-31 I. Samengo , D. H. Zanette
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