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The Computation of Equilibria

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Internet and Network Economics (WINE 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4858))

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Abstract

Ever since Nash’s existence theorem in 1951, the Nash equilibrium has been the standard solution concept in Game Theory, yet the issue of its computational complexity was resolved only recently by the proof that the problem is PPAD- complete [4], even in the two-player case [2]. In view of this result, research turned to several alternatives — an effect reminiscent of the reaction to NP-completeness in the 1970s: Approximation algorithms, special cases, and alternative equilibrium concepts.

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References

  1. Borgs, C., Chayes, J., Immorlica, N., Kalai, A., Mirrokni, V., Papadimitriou, C.H.: The Myth of the Folk Theorem. ECCC TR07-82

    Google Scholar 

  2. Chen, X., Deng, X.: Settling the Complexity of 2-Player Nash-Equilibrium. In: Proceedings of FOCS (2006)

    Google Scholar 

  3. Chen, X., Deng, X., Teng, S.: Computing Nash Equilibria: Approximation and Smoothed Complexity. In: Proceedings of FOCS (2006)

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  4. Daskalakis, C., Goldberg, P.W., Papadimitriou, C.H.: The Complexity of Computing a Nash Equilibrium. In: Proceedings of STOC (2006)

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  5. Daskalakis, C., Mehta, A., Papadimitriou, C.H.: Progress in Approximate Nash equilibrium. In: 8th ACM Conference on Electronic Commerce (EC), ACM Press, New York (2007)

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  6. Daskalakis, C., Papadimitriou, C.H.: Computing Equilibria in Anonymous Games. In: proc. 2007 FOCS

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  7. Daskalakis, C., Papadimitriou, C.H.: In preparation

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  8. Fabrikant, A., Papadimitriou, C.H.: The Search for Equilibria: Sink Equilibria, Unit Recall Games, and BGP Oscillations in, SODA 2008 (to appear)

    Google Scholar 

  9. Littman, M., Stone, P.: A polynomial-time algorithm for repeated games. Decision Support Systems 31, 55–66 (2005)

    Google Scholar 

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Xiaotie Deng Fan Chung Graham

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© 2007 Springer-Verlag Berlin Heidelberg

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Papadimitriou, C.H. (2007). The Computation of Equilibria. In: Deng, X., Graham, F.C. (eds) Internet and Network Economics. WINE 2007. Lecture Notes in Computer Science, vol 4858. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77105-0_4

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  • DOI: https://doi.org/10.1007/978-3-540-77105-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77104-3

  • Online ISBN: 978-3-540-77105-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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