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Computing Evolutionarily Stable Strategies in Multiplayer Games

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  • Sam Ganzfried

Abstract

We present an algorithm for computing all evolutionarily stable strategies in nondegenerate normal-form games with three or more players.

Suggested Citation

  • Sam Ganzfried, 2025. "Computing Evolutionarily Stable Strategies in Multiplayer Games," Papers 2511.20859, arXiv.org, revised Jun 2026.
    • Handle: RePEc:arx:papers:2511.20859
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    References listed on IDEAS

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    1. 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.
    2. Ross Cressman, 2003. "Evolutionary Dynamics and Extensive Form Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033054, December.
    3. McKelvey, Richard D. & McLennan, Andrew, 1996. "Computation of equilibria in finite games," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 2, pages 87-142, Elsevier.
    4. Porter, Ryan & Nudelman, Eugene & Shoham, Yoav, 2008. "Simple search methods for finding a Nash equilibrium," Games and Economic Behavior, Elsevier, vol. 63(2), pages 642-662, July.
    5. Govindan, Srihari & Wilson, Robert, 2003. "A global Newton method to compute Nash equilibria," Journal of Economic Theory, Elsevier, vol. 110(1), pages 65-86, May.
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