Dynamic Behaviors of Mix-game Model and Its Applications

Abstract

This paper proposes a modification to Minority Game (MG) by adding some agents who play majority game into MG. So it is referred to as mix-game. The highlight of this model is that the two groups of agents in mix-game have different bounded abilities to deal with history information and to count their own performance. Through simulations, this paper finds out that the local volatilities change a lot by adding some agents who play majority game into MG, and the change of local volatilities largely depends on different combinations of history memories of the two groups. Furthermore this paper analyses the underlying mechanisms for this finding. It also gives an example of applications of mix-game.