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Efficient Computation of Equilibria for Extensive Two-Person Games

Author

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  • Koller, Daphne
  • Megiddo, Nimrod
  • von Stengel, Bernhard

Abstract

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  • Koller, Daphne & Megiddo, Nimrod & von Stengel, Bernhard, 1996. "Efficient Computation of Equilibria for Extensive Two-Person Games," Games and Economic Behavior, Elsevier, vol. 14(2), pages 247-259, June.
    • Handle: RePEc:eee:gamebe:v:14:y:1996:i:2:p:247-259
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    Cited by:

    1. Peter Miltersen & Troels Sørensen, 2010. "Computing a quasi-perfect equilibrium of a two-player game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 175-192, January.
    2. Papadimitriou, Christos, 2015. "The Complexity of Computing Equilibria," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Benoit Duvocelle & János Flesch & Hui Min Shi & Dries Vermeulen, 2021. "Search for a moving target in a competitive environment," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 547-557, June.
    4. Stuart McDonald & Liam Wagner, 2010. "The Computation of Perfect and Proper Equilibrium for Finite Games via Simulated Annealing," Risk & Uncertainty Working Papers WPR10_1, Risk and Sustainable Management Group, University of Queensland, revised Apr 2010.
    5. Peter Godfrey-Smith & Manolo Martínez, 2013. "Communication and Common Interest," PLOS Computational Biology, Public Library of Science, vol. 9(11), pages 1-6, November.
    6. Sung, Shao-Chin & Dimitrov, Dinko, 2010. "Computational complexity in additive hedonic games," European Journal of Operational Research, Elsevier, vol. 203(3), pages 635-639, June.
    7. Pahl, Lucas, 2023. "Polytope-form games and index/degree theories for extensive-form games," Games and Economic Behavior, Elsevier, vol. 141(C), pages 444-471.
    8. Bernhard von Stengel & Antoon van den Elzen & Dolf Talman, 2002. "Computing Normal Form Perfect Equilibria for Extensive Two-Person Games," Econometrica, Econometric Society, vol. 70(2), pages 693-715, March.
    9. Srihari Govindan & Robert Wilson, 2008. "Metastable Equilibria," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 787-820, November.
    10. Stuart McDonald & Liam Wagner, 2013. "A Stochastic Search Algorithm for the Computation of Perfect and Proper Equilibria," Discussion Papers Series 480, School of Economics, University of Queensland, Australia.
    11. Shimoji, Makoto & Watson, Joel, 1998. "Conditional Dominance, Rationalizability, and Game Forms," Journal of Economic Theory, Elsevier, vol. 83(2), pages 161-195, December.
    12. Conitzer, Vincent & Sandholm, Tuomas, 2008. "New complexity results about Nash equilibria," Games and Economic Behavior, Elsevier, vol. 63(2), pages 621-641, July.
    13. Etessami, Kousha, 2021. "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game," Games and Economic Behavior, Elsevier, vol. 125(C), pages 107-140.
    14. Samid Hoda & Andrew Gilpin & Javier Peña & Tuomas Sandholm, 2010. "Smoothing Techniques for Computing Nash Equilibria of Sequential Games," Mathematics of Operations Research, INFORMS, vol. 35(2), pages 494-512, May.
    15. Rajgopal Kannan & Sudipta Sarangi & S. S. Iyengar, 2002. "Strategic Path Reliability in Information Networks," Discussion Papers of DIW Berlin 298, DIW Berlin, German Institute for Economic Research.
    16. Govindan, Srihari & Wilson, Robert B., 2007. "Stable Outcomes of Generic Games in Extensive Form," Research Papers 1933r, Stanford University, Graduate School of Business.
    17. Rosenbaum, Janet, 2002. "The Computational Complexity of Nash Equilibria," SocArXiv h63mz, Center for Open Science.
    18. 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.
    19. F. Forges & B. von Stengel, 2002. "Computionally Efficient Coordination in Games Trees," THEMA Working Papers 2002-05, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    20. Nataliya Sokolovska & Olivier Teytaud & Salwa Rizkalla & MicroObese consortium & Karine Clément & Jean-Daniel Zucker, 2015. "Sparse Zero-Sum Games as Stable Functional Feature Selection," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-16, September.
    21. Richard Baron & Jacques Durieu & Hans Haller & Rahul Savani & Philippe Solal, 2008. "Good neighbors are hard to find: computational complexity of network formation," Review of Economic Design, Springer;Society for Economic Design, vol. 12(1), pages 1-19, April.
    22. Bernhard von Stengel & Françoise Forges, 2008. "Extensive-Form Correlated Equilibrium: Definition and Computational Complexity," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 1002-1022, November.
    23. Corine M. Laan & Ana Isabel Barros & Richard J. Boucherie & Herman Monsuur & Judith Timmer, 2019. "Solving partially observable agent‐intruder games with an application to border security problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(2), pages 174-190, March.
    24. Theodore Turocy, 2010. "Computing sequential equilibria using agent quantal response equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 255-269, January.

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