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

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  • Knoblauch, Vicki

Abstract

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.

Suggested Citation

  • Knoblauch, Vicki, 1995. "Geometric Versions of Finite Games: Prisoner's Dilemma, Entry Deterrence and a Cyclical Majority Paradox," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(2), pages 165-177.
  • Handle: RePEc:spr:jogath:v:24:y:1995:i:2:p:165-77
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