Multi-Choice Minority Game

Abstract

The generalization of the problem of adaptive competition, known as the minority game, to the case of $K$ possible choices for each player is addressed, and applied to a system of interacting perceptrons with input and output units of the type of $K$-states Potts-spins. An optimal solution of this minority game as well as the dynamic evolution of the adaptive strategies of the players are solved analytically for a general $K$ and compared with numerical simulations.

5 pages, 2 figures, reorganized and clarified

References in corpus (6)

• Emergence of Cooperation and Organization in an Evolutionary Game
• On the Minority Game : Analytical and Numerical Studies
• A thermal model for adaptive competition in a market
• Self-Organized Segregation within an Evolving Population
• Theory of the evolutionary minority game
• The Minority Game with Variable Payoffs

Cited by in corpus (7)

• Multi-Player and Multi-Choice Quantum Game
• Evolutionary Minority Games: the benefits of imitation
• Statistical Mechanics of Competitive Resource Allocation using Agent-based Models
• Statistical thermodynamics for choice models on graphs
• Multiplpe Choice Minority Game With Different Publicly Known Histories
• Dynamics of the Minority Game for Patients
• Neural Networks, Game Theory and Time Series Generation