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Computing Equilibria of N-Player Games with Arbitrary Accuracy

  • Govindand, Srihari

    (U of Iowa)

  • Wilson, Robert B.

    (Stanford U)

From a variant of Kuhn's triangulation we derive a discrete version of the Global Newton Method that yields an epsilon-equilibrium of an N-player game and then sequentially reduces epsilon toward zero to obtain any desired precision or the best precision for any number of iterations.

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File URL: http://gsbapps.stanford.edu/researchpapers/library/RP1984.pdf
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Paper provided by Stanford University, Graduate School of Business in its series Research Papers with number 1984.

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Date of creation: Feb 2008
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Handle: RePEc:ecl:stabus:1984
Contact details of provider: Postal: Stanford University, Stanford, CA 94305-5015
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  1. Govindan, Srihari & Wilson, Robert, 2004. "Computing Nash equilibria by iterated polymatrix approximation," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1229-1241, April.
  2. Govindan, Srihari & Wilson, Robert B., 2007. "A Decomposition Algorithm for N-Player Games," Research Papers 1967, Stanford University, Graduate School of Business.
  3. Talman, A.J.J. & van der Laan, G., 1980. "A new subdivision for computing fixed points with a homotopy algorithm," Other publications TiSEM d702630e-5e0d-4c31-bd1e-1, Tilburg University, School of Economics and Management.
  4. 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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