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Full-Text Articles in Other Mathematics
Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson
Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson
Honors Theses
The study investigated how game theory can been utilized to model multipolar escalation dynamics between Russia, China, and the United States. In addition, the study focused on analyzing various parameters that affected potential conflict outcomes to further new deterrence thought in a tripolar environment.
A preliminary game theoretic model was created to model and analyze escalation dynamics. The model was built upon framework presented by Zagare and Kilgour in their work ‘Perfect Deterrence’. The model is based on assumptions and rules set prior to game play. The model was then analyzed based upon these assumptions using a form of mathematical …
Envy-Free Fair Division With Two Players And Multiple Cakes, Justin J. Shin
Envy-Free Fair Division With Two Players And Multiple Cakes, Justin J. Shin
Senior Projects Fall 2016
When dividing a valuable resource amongst a group of players, it is desirable to have each player believe that their allocation is at least as valuable as everyone else's allocation. This condition, where nobody is envious of anybody else's share in a division, is called envy-freeness. Fair division problems over continuous pools of resources are affectionately known as cake-cutting problems, as they resemble attempts to slice and distribute cake amongst guests as fairly as possible. Previous work in multi-cake fair division problems have attempted to prove that certain conditions do not allow for guaranteed envy-free divisions. In this paper, we …