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Cone Concavity and Multiple-Payoff Constrained n-Person Games

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  • S. X. Li

    (Adelphi University)

Abstract

This paper investigates special cases of abstract economies, i.e., n-person games with multiple payoff functions. Dominances with certain convex cones and interactive strategies are introduced in such game settings. Gradients of payoff functions are involved to establish certain Lagrange or Kuhn–Tucker conditions which may lead to some algorithms to actually compute an equilibrium. Sufficient and necessary conditions for such multiple payoff constrained n-person games are obtained.

Suggested Citation

  • S. X. Li, 1998. "Cone Concavity and Multiple-Payoff Constrained n-Person Games," Journal of Optimization Theory and Applications, Springer, vol. 97(1), pages 119-149, April.
    • Handle: RePEc:spr:joptap:v:97:y:1998:i:1:d:10.1023_a:1022679201585
    DOI: 10.1023/A:1022679201585
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    Cited by:

    1. Luisa Monroy & Amparo M. Mármol & Victoriana Rubiales, 2005. "A bargaining model for finite n-person multi-criteria games," Economic Working Papers at Centro de Estudios Andaluces E2005/21, Centro de Estudios Andaluces.

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