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Equilibrium points of a class of many-person games

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Abstract

This paper deals with the competitive equilibrium points of a class of (n+1)-person games, the players beingn sellers and a single buyer. Each seller offers a price for his product; depending upon the prices offered, the buyer then determines the amount he wishes to buy from each seller. Two types of equilibrium points in this class of games are discussed.

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Reference

  1. Mangasarian, O. L.,Nonlinear programming, McGraw-Hill Book Company, New York, New York, 1969.

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Authors and Affiliations

  1. Department of Mathematics, University of Malaya, Kuala Lumpur, Malaysia

    K. T. Lee (Lecturer) & K. C. Teo (Graduate Student)

Authors
  1. K. T. Lee
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  2. K. C. Teo
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Additional information

Communicated by G. Leitmann

The authors are indebted to Professor G. Leitmann for his valuable comments on an earlier version of this paper.

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Lee, K.T., Teo, K.C. Equilibrium points of a class of many-person games. J Optim Theory Appl 23, 285–303 (1977). https://doi.org/10.1007/BF00933053

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  • DOI: https://doi.org/10.1007/BF00933053

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