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We introduce a two-player model of reinforcement learning with memory. Past actions of an iterated game are stored in a memory and used to determine player's next action. To examine the behaviour of the model some approximate methods are…

Statistical Mechanics · Physics 2009-11-13 Adam Lipowski , Krzysztof Gontarek , Marcel Ausloos

this paper addresses the issue of the relation between the system efficiency and the individual performance with different combinations of agent memory lengths in mix-game model which is an extension of minority game (MG). In mix-game,…

Physics and Society · Physics 2007-05-23 Chengling Gou

Two-player win/lose games of infinite duration are involved in several disciplines including computer science and logic. If such a game has deterministic winning strategies, one may ask how simple such strategies can get. The answer may…

Computer Science and Game Theory · Computer Science 2020-02-04 Stéphane Le Roux

We examine the effects of memory and different updating paradigms in a game-theoretic model of competitive learning, where agents are influenced in their choice of strategy by both the choices made by, and the consequent success rates of,…

Physics and Society · Physics 2012-01-23 Ajaz Ahmad Bhat , Anita Mehta

This paper studies the relations between agent performances and their intellective abilities in mix-games in which there are two groups of agents: one group plays a minority game, and the other plays a majority game. These two groups have…

Physics and Society · Physics 2007-05-23 Chengling Gou

Game theory is fundamental to understanding cooperation between agents. Mainly, the Prisoner's Dilemma is a well-known model that has been extensively studied in complex networks. However, although the emergence of cooperation has been…

Physics and Society · Physics 2023-01-04 Nastaran Lotfi , Francisco A. Rodrigues

In games with a large number of players where players may have overlapping objectives, the analysis of stable outcomes typically depends on player types. A special case is when a large part of the player population consists of imitation…

Computer Science and Game Theory · Computer Science 2010-06-18 Soumya Paul , R. Ramanujam

In mix-game which is an extension of minority game, there are two groups of agents; group1 plays the majority game, but the group2 plays the minority game. This paper studies the change of the average winnings of agents and volatilities vs.…

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

Inspired by the cognitive science theory, we explicitly model an agent with both semantic and episodic memory systems, and show that it is better than having just one of the two memory systems. In order to show this, we have designed and…

Artificial Intelligence · Computer Science 2026-05-19 Taewoon Kim , Michael Cochez , Vincent Francois-Lavet , Mark Neerincx , Piek Vossen

We study analytically and by computer simulations a complex system of adaptive agents with finite memory. Borrowing the framework of the Minority Game and using the replica formalism we show the existence of an equilibrium phase transition…

Statistical Mechanics · Physics 2009-11-07 M. Marsili , R. Mulet , F. Ricci-Tersenghi , R. Zecchina

The overall aim of our research is to develop techniques to reason about the equilibrium properties of multi-agent systems. We model multi-agent systems as concurrent games, in which each player is a process that is assumed to act…

Logic in Computer Science · Computer Science 2020-08-14 Julian Gutierrez , Aniello Murano , Giuseppe Perelli , Sasha Rubin , Thomas Steeples , Michael Wooldridge

This paper studies the correlations of the average winnings of agents and the volatilities of systems based on mix-game model which is an extension of minority game (MG). In mix-game, there are two groups of agents; group1 plays the…

Physics and Society · Physics 2008-12-02 Chengling Gou

We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding…

Computer Science and Game Theory · Computer Science 2017-01-03 Stéphane Le Roux , Arno Pauly

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

Computer Science and Game Theory · Computer Science 2025-10-16 Fengming Zhu , Fangzhen Lin

Consider concurrent, infinite duration, two-player win/lose games played on graphs. If the winning condition satisfies some simple requirement, the existence of Player 1 winning (finite-memory) strategies is equivalent to the existence of…

Logic in Computer Science · Computer Science 2018-05-01 Stephane Le Roux

We consider the dynamics, existence and stability of the equilibrium states for large populations of individuals who can play various types of non--cooperative games. The players imitate the most attractive strategies, and the choice is…

Adaptation and Self-Organizing Systems · Physics 2012-04-02 Tadeusz Platkowski , Jan Zakrzewski

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2015-05-28 Gaurang Mahajan , Anita Mehta

Graph games of infinite length are a natural model for open reactive processes: one player represents the controller, trying to ensure a given specification, and the other represents a hostile environment. The evolution of the system…

Computer Science and Game Theory · Computer Science 2010-06-09 Julien Cristau , Claire David , Florian Horn

Multi-agent reinforcement learning (MARL) extends (single-agent) reinforcement learning (RL) by introducing additional agents and (potentially) partial observability of the environment. Consequently, algorithms for solving MARL problems…

Multiagent Systems · Computer Science 2019-09-12 Yilun Zhou , Derrik E. Asher , Nicholas R. Waytowich , Julie A. Shah

When playing games in groups, it is an advantage for individuals to have accurate statistical information on the strategies of their opponents. Such information may be obtained by remembering previous interactions. We consider a…

Adaptation and Self-Organizing Systems · Physics 2015-10-14 James Burridge
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