IsoMaTrix

A framework to visualize the isoclines of matrix games and quantify uncertainty in structured populations (MATLAB, Java)

Evolutionary game theory describes frequency-dependent selection for fixed, heritable strategies in a population of competing individuals using a payoff matrix, typically described using well-mixed assumptions (replicator dynamics). IsoMaTrix is an open-source package which computes the isoclines (lines of zero growth) of matrix games, and facilitates direct comparison of well-mixed dynamics to structured population in two or three dimensions. IsoMaTrix is coupled with a Hybrid Automata Library module to simulate structured matrix games on-lattice. IsoMaTrix can also compute fixedpoints, phase flow, trajectories, velocities (and subvelocities), delineated region plots of positive/negative strategy velocity, and uncertainty quantification for stochastic effects in structured matrix games.