Multichoice Minority Game: Dynamics and Global Cooperation

TL;DR

This paper investigates the dynamics of a multichoice minority game, MG(Nc,|S|), revealing that while global cooperation persists, periodic behaviors are not guaranteed as in the two-choice case, depending on the number of choices.

Contribution

It extends the minority game model to multiple choices and analyzes how the dynamics and cooperation phenomena change with increased choices.

Findings

Global cooperative behavior similar to two-choice MG.

Periodic dynamics are not always present in MG(Nc,|S|).

Behavior depends on the number of choices Nc.

Abstract

In the original two-choice minority game (MG), selfish players cooperate with each other even though direct communication is not allowed. Moreover, there is a periodic dynamics in the MG whenever the strategy space size is much smaller than the number of strategies at play. Do these phenomena persist if every player has $N_c > 2$ choices where all player's strategies are picked from a reduced strategy space? We answer this question by studying a multichoice minority game model known as MG($N_c$,$|{\mathbb S}|$). Numerical simulation shows that these two models have very similar global cooperative behaviors. Nevertheless, unlike in the MG, periodic dynamics does not always appear in the MG($N_c$,$|{\mathbb S}|$) even when the strategy space size is much smaller than the number of strategies at play.