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Microbiological systems evolve to fulfill their tasks with maximal efficiency. The immune system is a remarkable example, where self-non self distinction is accomplished by means of molecular interaction between self proteins and antigens,…

Cell Behavior · Quantitative Biology 2013-08-26 Marcio Argollo de Menezes , Edgardo Brigatti , Veit Schwämmle

We study a variation of the minority game. There are N agents. Each has to choose between one of two alternatives everyday, and there is reward to each member of the smaller group. The agents cannot communicate with each other, but try to…

Trading and Market Microstructure · Quantitative Finance 2015-05-27 Deepak Dhar , V. Sasidevan , Bikas K. Chakrabarti

We formulate a theory of agent-based models in which agents compete to be in a winning group. The agents may be part of a network or not, and the winning group may be a minority group or not. The novel feature of the present formalism is…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. S. Lo , H. Y. Chan , P. M. Hui , N. F. Johnson

The Probabilistic Serial mechanism is well-known for its desirable fairness and efficiency properties. It is one of the most prominent protocols for the random assignment problem. However, Probabilistic Serial is not incentive-compatible,…

Computer Science and Game Theory · Computer Science 2020-01-30 Zihe Wang , Zhide Wei , Jie Zhang

We study a dynamical system defined by a repeated game on a 1D lattice, in which the players keep track of their gross payoffs over time in a bank. Strategy updates are governed by a Boltzmann distribution which depends on the neighborhood…

Adaptation and Self-Organizing Systems · Physics 2022-10-19 Connor Olson , Andrew Belmonte , Christopher Griffin

In this paper we introduce adaptation mechanism based on genetic algorithms in minority games. If agents find their performances too low, they modify their strategies in hope to improve their performances and become more successful. One aim…

Statistical Mechanics · Physics 2009-11-10 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

Deep Reinforcement Learning (RL) agents often learn policies that achieve the same episodic return yet behave very differently, due to a combination of environmental (random transitions, initial conditions, reward noise) and algorithmic…

Machine Learning · Computer Science 2026-01-06 Dennis Jabs , Aditya Mohan , Marius Lindauer

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 propose and study an evolutionary minority game (EMG) in which the agents are allowed to choose among three possible options. Unlike the original EMG where the agents either win or lose one unit of wealth, the present model assigns one…

Statistical Mechanics · Physics 2007-05-23 Hong-Jun Quan , P. M. Hui , C. Xu , K. F Yip

Game dynamics in which three or more strategies are cyclically competitive, as represented by the rock-scissors-paper game, have attracted practical and theoretical interests. In evolutionary dynamics, cyclic competition results in…

Populations and Evolution · Quantitative Biology 2008-03-11 Naoki Masuda

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

The dynamics of dispersal-structured populations, consisting of competing individuals that are characterized by different diffusion coefficients but are otherwise identical, is investigated. Competition is taken into account through…

Biological Physics · Physics 2020-04-15 E. Heinsalu , D. Navidad Maeso , M. Patriarca

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

We study an atomic signaling game under stochastic evolutionary dynamics. There is a finite number of players who repeatedly update from a finite number of available languages/signaling strategies. Players imitate the most fit agents with…

Probability · Mathematics 2013-12-23 Michael J. Fox , Behrouz Touri , Jeff S. Shamma

Modern ecology has re-emphasized the need for a quantitative understanding of the original 'survival of the fittest theme' based on analyzis of the intricate trade-offs between competing evolutionary strategies that characterize the…

Populations and Evolution · Quantitative Biology 2015-06-16 Jacopo Grilli , Samir Suweis , Amos Maritan

The Minority Game framework was recently generalized to account for the possibility that agents adapt not only through strategy selection but also by diversifying their response according to the kind of dynamical regime, or the risk, they…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Tedeschi , A. De Martino , I. Giardina

In real-life complex systems, individuals often encounter multiple social dilemmas that cannot be effectively captured using a single-game model. Furthermore, the environment and limited resources both play a crucial role in shaping…

Physics and Society · Physics 2025-04-15 Chengbin Sun , Alfonso de Miguel-Arribas , Chaoqian Wang , Haoxiang Xia , Yamir Moreno

We explore the effect of discounting and experimentation in a simple model of interacting adaptive agents. Agents belong to either of two types and each has to decide whether to participate a game or not, the game being profitable when…

Physics and Society · Physics 2009-11-13 Damien Challet , Andrea De Martino , Matteo Marsili

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a…

Populations and Evolution · Quantitative Biology 2016-09-01 Christoph Adami , Jory Schossau , Arend Hintze

Recent work has revealed a new class of "zero-determinant" (ZD) strategies for iterated, two-player games. ZD strategies allow a player to unilaterally enforce a linear relationship between her score and her opponent's score, and thus…

Populations and Evolution · Quantitative Biology 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin