The critical point when prisoners meet the minority: local and global dynamics in mixed evolutionary games

Evolutionary games are used to model and understand some complex real world situations in economics, defence, and industry. However, different games are usually studied independently and in isolation of each other. Notwithstanding, in real world situations, an agent is involved in multiple games simultaneously and her action in one game influences her utility in the others. This situation is far more complex when the utility functions for the different games are in conflict with each other. In this paper, we propose for the first time an analysis for the interaction between the iterated prisoner´s dilemma and the minority games. We empirically explore the relationship and clarify the mathematical conditions under which the Minority game won´t change the dynamics of the iterated prisoner´s dilemma game.