CGT Chemical Game Theory game theory rock paper scissors rock-paper-scissors Nash Equilibrium contested decision gibbs free energy human behavior
Abstract:
The objective of this thesis is to compare data from experimental asymmetric rock-paper- scissors (aRPS) games to Nash equilibria (NE) and chemical game theory (CGT) aRPS solutions using perception functions that convert real punishments into pain values used in CGT. aRPS games are a modified form of the traditional rock-paper-scissors game where winning with rock, for example, is more advantageous than winning with scissors or paper. The Nash equilibria and chemical game theory solutions are fully analyzed for both the RPS and aRPS games, and then compared to experimental data for aRPS games where winning with rock has higher payoff than winning with paper or scissors. The NE solution for the same aRPS game with rock as the most valuable play found that paper is played the most often, while the CGT solution found that rock is played the most often. The experimental data resulted in rock as the most probable strategy, which more closely reflects the CGT solution.
