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A Mathematical Note on the Value Positivity for Matrix Game

Author

Listed:
  • Victoria Kreps

    (Institute for Regional Economic Studies RAS, 38 Serpuhovkaya St., Saint Petersburg, RussiaNational Research University Higher School of Economics, 3 Kantemirovskaya St., St. Petersburg, Russia)

  • Andrei Matveenko

    (��CERGE-EI A Joint Workplace of Charles University and the Economics Institute of the Czech Academy of Sciences, Politickych Veznu 7, Prague, Czech Republic)

Abstract

We give a criterion of positivity for the value of a matrix game. We use the criterion to investigate conditions of positivity of value for two classes of games: payoff matrices with all elements outside of the main diagonal having the same sign and symmetric payoff matrices.

Suggested Citation

  • Victoria Kreps & Andrei Matveenko, 2020. "A Mathematical Note on the Value Positivity for Matrix Game," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-10, March.
    • Handle: RePEc:wsi:igtrxx:v:22:y:2020:i:01:n:s0219198919500087
    DOI: 10.1142/S0219198919500087
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    Cited by:

    1. Anna Bogomolnaia & Misha Gavrilovich & Egor Ianovski & Galina Lyapunova & Hervé Moulin & Alexander Nesterov & Marina Sandomirskaia & Fedor Sandomirskiy & Elena Yanovskaya, 2021. "In memory of Victoria Kreps (3 September 1945–3 March 2021)," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 597-601, September.

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