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The parallel minority game (PMG) extends the classical minority game to many choices, with each agent restricted to two predetermined alternatives. In this condition, minimizing the population variance across all choices is a complex…

Disordered Systems and Neural Networks · Physics 2026-05-22 Aryan Tyagi , Soumyaditya Das , Soumyajyoti Biswas , Anirban Chakraborti

We review the recent approaches to modelling financial markets based on multi-agent systems. After a brief summary of the basic stylised facts observed in real-market time-series we discuss some simple agent-based systems which are…

Physics and Society · Physics 2008-12-02 Tobias Galla , Giancarlo Mosetti , Yi-Cheng Zhang

We study Bayesian coordination games where agents receive noisy private information over the game's payoffs, and over each others' actions. If private information over actions is of low quality, equilibrium uniqueness obtains in a manner…

General Economics · Economics 2021-11-23 Dominik Grafenhofer , Wolfgang Kuhle

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

In this article, we look at a hat-guessing game, in which each player must guess the color of their own hat while only seeing the hats of the other players. We focus on the case of two hat colors and a countably infinite number of players.…

Probability · Mathematics 2025-10-28 Nathaniel Eldredge

We show that a simple evolutionary scheme, when applied to the minority game (MG), changes the phase structure of the game. In this scheme each agent evolves individually whenever his wealth reaches the specified bankruptcy level, in…

Statistical Mechanics · Physics 2009-11-10 Baosheng Yuan , Kan Chen

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

Data Structures and Algorithms · Computer Science 2019-09-17 Mingyu Xiao , Jiaxing Ling

A researcher observes a finite sequence of choices made by multiple agents in a binary-state environment. Agents maximize expected utilities that depend on their chosen alternative and the unknown underlying state. Agents learn about the…

Theoretical Economics · Economics 2021-05-11 Rahul Deb , Ludovic Renou

The self-organization in cooperative regimes in a simple mean-field version of a model based on "selfish" agents which play the Prisoner's Dilemma (PD) game is studied. The agents have no memory and use strategies not based on direct…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 H. Fort

Evolutionary game theory is an abstract and simple, but very powerful way to model evolutionary dynamics. Even complex biological phenomena can sometimes be abstracted to simple two-player games. But often, the interaction between several…

Populations and Evolution · Quantitative Biology 2011-06-22 Chaitanya S. Gokhale , Arne Traulsen

We investigate further several properties of the minority game we have recently introduced. We explain the origin of the phase transition and give an analytical expression of $\sigma^2/N$ in the $N\ll2^M$ region. The ability of the players…

Statistical Mechanics · Physics 2015-06-25 Damien Challet , Yi-Cheng Zhang

Methods for learning optimal policies in autonomous agents often assume that the way the domain is conceptualised---its possible states and actions and their causal structure---is known in advance and does not change during learning. This…

Artificial Intelligence · Computer Science 2018-01-11 Craig Innes , Alex Lascarides , Stefano V Albrecht , Subramanian Ramamoorthy , Benjamin Rosman

The \$-Game was recently introduced as an extension of the Minority Game. In this paper we compare this model with the well know Minority Game and the Majority Game models. Due to the inter-temporal nature of the market payoff, we introduce…

Statistical Mechanics · Physics 2008-12-02 F. F. Ferreira , M. Marsili

We consider a setting where one has to organize one or several group activities for a set of agents. Each agent will participate in at most one activity, and her preferences over activities depend on the number of participants in the…

Computer Science and Game Theory · Computer Science 2014-02-03 Andreas Darmann , Edith Elkind , Sascha Kurz , Jérôme Lang , Joachim Schauer , Gerhard Woeginger

The unprecedented access offered by the World Wide Web brings with it the potential to gather huge amounts of data on human activities. Here we exploit this by using a toy model of financial markets, the Minority Game (MG), to investigate…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Paolo Laureti , Peter Ruch , Joseph Wakeling , Yi-Cheng Zhang

Different agents need to make a prediction. They observe identical data, but have different models: they predict using different explanatory variables. We study which agent believes they have the best predictive ability -- as measured by…

Theoretical Economics · Economics 2023-02-01 Jose Luis Montiel Olea , Pietro Ortoleva , Mallesh M Pai , Andrea Prat

Coordinating the behaviour of self-interested agents in the presence of multiple Nash equilibria is a major research challenge for multi-agent systems. Pre-game communication between all the players can aid coordination in cases where the…

Computer Science and Game Theory · Computer Science 2025-02-18 Wei-Chen Lee , Alessandro Abate , Michael Wooldridge

We discuss a model of an economic community consisting of $N$ interacting agents. The state of each agent at any time is characterized, in general, by a mixed strategy profile drawn from a space of $s$ pure strategies. The community evolves…

adap-org · Physics 2007-05-23 Vivek S. Borkar , Sanjay Jain , Govindan Rangarajan

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

We use the cavity method from statistical physics for analyzing the transient and stationary dynamics of a minority game that is played by agents performing market arbitrage. On the level of linear response the method allows to include the…

Trading and Market Microstructure · Quantitative Finance 2022-06-09 Tim Ritmeester , Hildegard Meyer-Ortmanns