DeFinetti: A Mathematica program to analyze the replicator dynamics of 3-strategy collective interactions

Abstract

DeFinetti is a Mathematica program that enables the user to visualize the replicator dynamics of three-strategy games with collective interactions, to study cooperation at different levels of biological complexity. The program computes the replicator dynamics of a game for multiple initial frequencies and shows trajectories, fitness and end points on a ternary plot (a DeFinetti diagram). The user only needs to specify the payoffs, and can change the parameters, visualize their effect, customize the style of the graphs and export the results.

Keywords

• Game theory
• Replicator dynamics
• Public goods
• Cooperation
• Ternary plot
• Ternary graph