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Zero‐sum games with multiple goals

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  • Wade D. Cook

Abstract

This paper investigates a class of two‐person zero‐sum multiple payoff games in which each component is deterministic. The problem of minimizing a player's total underachievement of a fixed set of goals is shown to reduce to a linear programming problem. Applications are discussed and illustrative examples are presented.

Suggested Citation

  • Wade D. Cook, 1976. "Zero‐sum games with multiple goals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(4), pages 615-621, December.
    • Handle: RePEc:wly:navlog:v:23:y:1976:i:4:p:615-621
    DOI: 10.1002/nav.3800230406
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    Cited by:

    1. Andreas H. Hamel & Andreas Löhne, 2018. "A set optimization approach to zero-sum matrix games with multi-dimensional payoffs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(3), pages 369-397, December.
    2. M. G. Brikaa & Zhoushun Zheng & El-Saeed Ammar, 2020. "Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals," Mathematics, MDPI, vol. 8(3), pages 1-30, February.

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