Geometric Versions of Finite Games: Prisoner's Dilemma, Entry Deterrence and a Cyclical Majority Paradox.

We provide geometric versions of finite, two-person games in the course of proving the following: if a finite, two-person, symmetric game is constant-sum, it is a location game. If it is not constant-sum, it is a location game with a reservation price. Every finite two-person game is a location game with a reservation price and two location sets, one for each player. We then use location games to resolve a cyclical majority paradox, and to analyze a prisoner's dilemma and an entry deterrence game.