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Minority game is a simple-mined econophysical model capturing the cooperative behavior among selfish players. Previous investigations, which were based on numerical simulations up to about 100 players for a certain parameter $\alpha$ in the…

Statistical Mechanics · Physics 2009-11-10 K. H. Ho , W. C. Man , F. K. Chow , H. F. Chau

A brief review is given of the minority game, an idealized model of a market of speculative agents, and its complex many-body behaviour. Particular consideration is given to the consequences and implications of correlations between…

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

The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with rationality of choice and is considered useful in building rankings. Intransitive preferences are considered…

Quantum Physics · Physics 2015-06-23 Marcin Makowski , Edward W. Piotrowski , Jan Sładkowski

In this paper we introduce novel algorithmic strategies for effciently playing two-player games in which the players have different or identical player roles. In the case of identical roles, the players compete for the same objective (that…

Computer Science and Game Theory · Computer Science 2013-03-26 Mugurel Ionut Andreica , Nicolae Tapus

Infinite games where several players seek to coordinate under imperfect information are deemed to be undecidable, unless the information is hierarchically ordered among the players. We identify a class of games for which joint winning…

Computer Science and Game Theory · Computer Science 2015-07-29 Dietmar Berwanger , Anup Basil Mathew

We study the asymptotic macroscopic properties of the mixed majority-minority game, modeling a population in which two types of heterogeneous adaptive agents, namely ``fundamentalists'' driven by differentiation and ``trend-followers''…

Statistical Mechanics · Physics 2009-11-10 A. De Martino , I. Giardina , G. Mosetti

A mediator is a mechanism that can only suggest actions to players, as a function of all agents' reported types, in a given game of incomplete information. We study what is achievable by two kinds of mediators, "strong" and "weak." Players…

Computer Science and Game Theory · Computer Science 2015-12-14 Michael Kearns , Mallesh M. Pai , Ryan Rogers , Aaron Roth , Jonathan Ullman

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

In this work we present a pedagogical introduction to the minority game and various new versions of it with interesting properties, focusing in its applications in socialphysics. For instance, some systems display a kind of social behavior…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. R. L. de Almeida , J. Menche

A matching game is a cooperative profit game defined on an edge-weighted graph, where the players are the vertices and the profit of a coalition is the maximum weight of matchings in the subgraph induced by the coalition. A population…

Computer Science and Game Theory · Computer Science 2021-05-04 Han Xiao , Qizhi Fang

There is a common belief that humans and many animals follow transitive inference (choosing A over C on the basis of knowing that A is better than B and B is better than C). Transitivity seems to be the essence of rational choice. We…

Computer Science and Game Theory · Computer Science 2014-09-23 Marcin Makowski , Edward W. Piotrowski

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

Probability · Mathematics 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

We study a mixed population of adaptive agents with small and large memories, competing in a minority game. If the agents are sufficiently adaptive, we find that the average winnings per agent can exceed that obtainable in the corresponding…

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

In this paper we consider a network of boolean agents that compete for a limited resource. The agents play the so called Generalized Minority Game where the capacity level is allowed to vary externally. We study the properties of such a…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Aram Galstyan , Kristina Lerman

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

A quantum version of the Minority game for an arbitrary number of agents is considered. It is known that when the number of agents is odd, quantizing the game produces no advantage to the players, but for an even number of agents new Nash…

Quantum Physics · Physics 2009-11-11 Adrian P. Flitney , Lloyd C. L. Hollenberg

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

In repeated games, players choose actions concurrently at each step. We consider a parameterized setting of repeated games in which the players form a population of an arbitrary size. Their utility functions encode a reachability objective.…

Computer Science and Game Theory · Computer Science 2025-10-06 Nathalie Bertrand , Patricia Bouyer , Luc Lapointe , Corto Mascle

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

To study the interplay between global market choice and local peer pressure, we construct a minority-game-like econophysical model. In this so-called networked minority game model, every selfish player uses both the historical minority…

Statistical Mechanics · Physics 2015-06-24 H. F. Chau , F. K. Chow , K. H. Ho
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