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A Genetic Algorithm for the Structural Estimation of Games with Multiple Equilibria

Author

Listed:
  • VICTOR AGUIRREGABIRIA

    (Department of Economics, Boston University)

  • PEDRO MIRA

    (Centro de Estudios Monetarios y Financieros (CEMFI))

Abstract

This paper proposes an algorithm to obtain maximum likelihood estimates of structural parameters in discrete games with multiple equilibria. The method combines a genetic algorithm (GA) with a pseudo maximum likelihood (PML) procedure. The GA searches efficiently over the huge space of possible combinations of equilibria in the data. The PML procedure avoids the repeated computation of equilibria for each trial value of the parameters of interest. To test the ability of this method to get maximum likelihood estimates, we present a Monte Carlo experiment in the context of a game of price competition and collusion.

Suggested Citation

  • Victor Aguirregabiria & Pedro Mira, 2005. "A Genetic Algorithm for the Structural Estimation of Games with Multiple Equilibria," Boston University - Department of Economics - Working Papers Series WP2005-001, Boston University - Department of Economics.
    • Handle: RePEc:bos:wpaper:wp2005-001
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    Cited by:

    1. Sumon Datta & K. Sudhir, 2012. "Does Reducing Spatial Differentiation Increase Product Differentiation" Effects of Zoning on Retail Entry and Format Variety," Cowles Foundation Discussion Papers 1851, Cowles Foundation for Research in Economics, Yale University, revised Sep 2012.
    2. Viauroux, Christelle, 2007. "Structural estimation of congestion costs," European Economic Review, Elsevier, vol. 51(1), pages 1-25, January.
    3. Sumon Datta & K. Sudhir, 2013. "Does reducing spatial differentiation increase product differentiation? Effects of zoning on retail entry and format variety," Quantitative Marketing and Economics (QME), Springer, vol. 11(1), pages 83-116, March.
    4. Sumon Datta & K. Sudhir, 2013. "Does reducing spatial differentiation increase product differentiation? Effects of zoning on retail entry and format variety," Quantitative Marketing and Economics (QME), Springer, vol. 11(1), pages 83-116, March.
    5. Sumon Datta & K. Sudhir, 2023. "The Agglomeration-Differentiation Tradeoff in Spatial Location Choice," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 10(1), pages 1-25, December.

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    Keywords

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    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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