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Approximate Implementation in Markovian Environments

Author

Listed:
  • Ludovic Renou

    (University of Essex - University of Essex)

  • Tristan Tomala

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper considers dynamic implementation problems with evolving private information (according to Markov processes). A social choice function is approximately implementable if there exists a dynamic mechanism such that the social choice function is implemented by an arbitrary large number of times with arbitrary high probability in every communication equilibrium. We show that if a social choice function is strictly efficient in the set of social choice functions that satisfy an undetectable condition, then it is approximately implementable. We revisit the classical monopolistic screening problem and show that the monopolist can extract the full surplus in almost all periods with arbitrary high probability.

Suggested Citation

  • Ludovic Renou & Tristan Tomala, 2013. "Approximate Implementation in Markovian Environments," Working Papers hal-02058241, HAL.
  • Handle: RePEc:hal:wpaper:hal-02058241
    DOI: 10.2139/ssrn.2267373
    as

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    Citations

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    Cited by:

    1. Juan I. Block & David K. Levine, 2016. "Codes of conduct, private information and repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 971-984, November.
    2. Escobar, Juan F. & Llanes, Gastón, 2018. "Cooperation dynamics in repeated games of adverse selection," Journal of Economic Theory, Elsevier, vol. 176(C), pages 408-443.
    3. Sultanum, Bruno, 2018. "Financial fragility and over-the-counter markets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 616-658.
    4. ,, 2015. "Unraveling in a repeated moral hazard model with multiple agents," Theoretical Economics, Econometric Society, vol. 10(1), January.

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