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Equilibria of Polymatrix Games

Author

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  • Joseph T. Howson, Jr.

    (Boston College)

Abstract

A constructive existence proof is given for equilibria of polymatrix games. The construction is based on a generalization of the almost-complementary paths used for the linear complementarity problem.

Suggested Citation

  • Joseph T. Howson, Jr., 1972. "Equilibria of Polymatrix Games," Management Science, INFORMS, vol. 18(5-Part-1), pages 312-318, January.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:5-part-1:p:312-318
    DOI: 10.1287/mnsc.18.5.312
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    Cited by:

    1. Krzysztof R. Apt & Bart Keijzer & Mona Rahn & Guido Schäfer & Sunil Simon, 2017. "Coordination games on graphs," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(3), pages 851-877, August.
    2. Fandel, G. & Trockel, J., 2013. "Avoiding non-optimal management decisions by applying a three-person inspection game," European Journal of Operational Research, Elsevier, vol. 226(1), pages 85-93.
    3. Quintas, L G, 1989. "A Note on Polymatrix Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 261-272.
    4. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 119-156, January.
    5. Mohan, S.R. & Talman, A.J.J., 1998. "Refinement of solutions to the linear complimentarity problem," Discussion Paper 1998-78, Tilburg University, Center for Economic Research.
    6. Hanna Sumita & Naonori Kakimura & Kazuhisa Makino, 2019. "Total dual integrality of the linear complementarity problem," Annals of Operations Research, Springer, vol. 274(1), pages 531-553, March.
    7. van den Elzen, A.H., 1996. "Constructive Application of the Linear Tracing Procedure to Polymatrix Games," Other publications TiSEM 7366cd12-e253-4d53-8dea-c, Tilburg University, School of Economics and Management.
    8. Zheng-Hai Huang & Liqun Qi, 2017. "Formulating an n-person noncooperative game as a tensor complementarity problem," Computational Optimization and Applications, Springer, vol. 66(3), pages 557-576, April.
    9. van den Elzen, A.H., 1996. "Constructive Application of the Linear Tracing Procedure to Polymatrix Games," Research Memorandum 738, Tilburg University, School of Economics and Management.

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