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The Finite Negotiation Problem

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  • Peter Rice

    (Department of Mathematics, University of Georgia)

Abstract

A finite negotiation problem is a finite, two-person, non-zero-sum noncooperative game. A negotiated solution to a problem is an outcome associated with two pure strategies, one for each player, which is arrived at by a negotiation process. The problem posed and solved in this article is the specification of a solution theory which reflects the expectations of negotiators and captures the strategic possibilities implicit in the original game. Instead of approaching the theory through axioms which imply the existence of a unique solution, this study describes a negotiating scenario which, when exactly described, is itself a game. Given the information of who moves first in the negotiation game, there is an equilibrium outcome, and this is taken as the solution of the problem.

Suggested Citation

  • Peter Rice, 1979. "The Finite Negotiation Problem," Journal of Conflict Resolution, Peace Science Society (International), vol. 23(3), pages 561-576, September.
    • Handle: RePEc:sae:jocore:v:23:y:1979:i:3:p:561-576
    DOI: 10.1177/002200277902300309
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    References listed on IDEAS

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    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
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