n-PLAYER TRAGEDY OF THE COMMONS AND CHEMICAL GAME THEORY
Open Access
Author:
Gentile, Frank Joseph
Area of Honors:
Chemical Engineering
Degree:
Bachelor of Science
Document Type:
Thesis
Thesis Supervisors:
Darrell Velegol, Thesis Supervisor Dr. Michael John Janik, Thesis Honors Advisor
Keywords:
Game Theory Tragedy of the commons Gibbsian Thermodynamics
Abstract:
The purpose of this thesis is to apply the methods of material balances, equilibrium thermodynamics, and reaction equilibrium from the disciplinary area of chemical engineering to model cooperation in the tragedy of the commons dilemma in the disciplinary area of game theory. Chemical Game Theory introduces a novel way to model and predict human behavior, however until this point only games with two players have been considered. Chemical Game Theory has largely been successful due to the inclusion of entropic effects and pre-bias, which have been demonstrated to be shortcomings of classical game theory models. This thesis will demonstrate Chemical Game Theory’s ability to quantify games with up to 10 players, and the effect of the number of players on cooperation.
