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Computing sequential equilibria using agent quantal response equilibria

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Abstract

The limit of any convergent sequence of agent quantal response equilibria is a sequential equilibrium of an extensive game. Using a logarithmic transformation of action probabilities, it is numerically feasible and practical to compute such sequences, and thereby compute good approximations to sequential equilibrium assessments. This paper describes the algorithm to compute the sequences, and outlines the convergence and selection properties of the method.

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References

  • Allgower E.L., Georg K.: Numerical Continuation Methods: An Introduction. Springer, Berlin (1990)

    Google Scholar 

  • Banks J., Camerer C., Porter D.: Experimental tests of Nash refinements in signaling games. Games Econ Behav 4, 1–31 (1992)

    Article  Google Scholar 

  • Brandts J., Holt C.A.: Adjustment patterns and equilibrium selection in experimental signaling games. Int J Game Theory 22, 279–302 (1993)

    Article  Google Scholar 

  • Koller D., Megiddo N., von Stengel B.: Efficient computation of equilibria for extensive two-person games. Games Econ Behav 14, 247–259 (1996)

    Article  Google Scholar 

  • Kreps D., Wilson R.: Sequential equilibrium. Econometrica 50, 863–894 (1982)

    Article  Google Scholar 

  • McKelvey, R.D.: A Liapunov function for Nash equilibria. Caltech Social Science Working Paper 953 (1991)

  • McKelvey R.D., Palfrey T.R.: An experimental study of the cenitpede game. Econometrica 60, 803–836 (1992)

    Article  Google Scholar 

  • McKelvey R.D., Palfrey T.R.: Quantal response equilibria for normal form games. Games Econ Behav 10, 6–38 (1995)

    Article  Google Scholar 

  • McKelvey R.D., Palfrey T.R.: Quantal response equilibria for extensive form games. Exp Econ 1, 9–41 (1998)

    Google Scholar 

  • McKelvey R.D., McLennan, A.M., Turocy, T.L.: Gambit: Software Tools for Game Theory (2008). http://gambit.sourceforge.net

  • Miltersen, P.B., Sorensen, T.B.: Computing a quasi-perfect equilibrium of a two-player game. Econ Theory, this issue (2009)

  • Selten R.: Reexamination of the perfectness concept for equilibrium points in extensive games. Int J Game Theory 4, 25–55 (1975)

    Article  Google Scholar 

  • Turocy T.L.: A dynamic homotopy interpretation of the logistic quantal response equilibrium correspondence. Games Econ Behav 51, 243–263 (2005)

    Article  Google Scholar 

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Correspondence to Theodore L. Turocy.

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The author thanks the associate editor and two anonymous referees for helpful comments towards improving the exposition.

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Turocy, T.L. Computing sequential equilibria using agent quantal response equilibria. Econ Theory 42, 255–269 (2010). https://doi.org/10.1007/s00199-009-0443-3

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  • DOI: https://doi.org/10.1007/s00199-009-0443-3

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