Altruistic to Vengeful Perspectives in Gibbsian Game Theory

Open Access
Author:
Connolly, John P
Area of Honors:
Chemical Engineering
Degree:
Bachelor of Science
Document Type:
Thesis
Thesis Supervisors:
  • Darrell Velegol, Thesis Supervisor
  • Darrell Velegol, Honors Advisor
  • Michael John Janik, Faculty Reader
Keywords:
  • Gibbs
  • Nash
  • Game Theory
  • Gibbsian Games
  • Entropic Choices
  • Perspective
  • Altruism
  • Vengeance
  • Self-Interest
  • Selfish
Abstract:
The primary purpose of this thesis is to introduce and develop a framework for perspective (e.g. altruistic, self-interested, vengeful dispositions) into Gibbsian game theory. As an integral part of the human decision making process, understanding and modeling human perspective provides an opportunity to (1) accurately determine solutions to well defined games, (2) optimize a player’s strategy when facing an opponent with a fixed strategy and (3) develop an understanding of how human relationships affect the outcome of decision. Utilizing the well known prisoner’s dilemma game and the framework developed, this thesis explores the claims above and produces solutions for well known real-world problems simplified into 2x2 games. The concepts contained herein provide a new method for understanding games of strategy.