game theory schema enzyme kinetics Nash Equilibrium thermodynamics
Abstract:
The primary purpose of this work is to introduce “schemas” into game theory to produce a new way in which to view Nash Equilibrium. Functioning similarly to enzymes in a chemical reaction, schemas eliminate the need to incorporate motivations into player utility functions, lessen subjective analysis, and allow games to be viewed via an engineering “systems” perspective. After mathematically defining several schemas (i.e. selfish, global, and fair), two solvers were created to predict the equilibrium outcome of real-world problems simplified into 2x2 player games. As predicted, games with new schemas produced different optimal strategies for players in even the most well-known games. Furthermore, a player’s schema distribution was predicted from experimental results found in literature. The concepts described herein could lead to the development of a new, more robust game theory model.
