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On sufficiency of dominant strategy implementation in environments with correlated types

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  • Kushnir, Alexey

Abstract

We show that for any mechanism there exists an equivalent dominant strategy incentive compatible mechanism for social choice environments with correlated types when agent’s matrix of conditional probabilities satisfies the full rank condition.

Suggested Citation

  • Kushnir, Alexey, 2015. "On sufficiency of dominant strategy implementation in environments with correlated types," Economics Letters, Elsevier, vol. 133(C), pages 4-6.
  • Handle: RePEc:eee:ecolet:v:133:y:2015:i:c:p:4-6
    DOI: 10.1016/j.econlet.2015.05.001
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    References listed on IDEAS

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    1. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    2. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
    3. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721.
    4. Alexey Kushnir, 2013. "On the equivalence between Bayesian and dominant strategy implementation: the case of correlated types," ECON - Working Papers 129, Department of Economics - University of Zurich.
    5. Alex Gershkov & Jacob K. Goeree & Alexey Kushnir & Benny Moldovanu & Xianwen Shi, 2013. "On the Equivalence of Bayesian and Dominant Strategy Implementation," Econometrica, Econometric Society, vol. 81(1), pages 197-220, January.
    6. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    7. Alejandro M. Manelli & Daniel R. Vincent, 2010. "Bayesian and Dominant‐Strategy Implementation in the Independent Private‐Values Model," Econometrica, Econometric Society, vol. 78(6), pages 1905-1938, November.
    8. Jacob K. Goeree & Alexey Kushnir, 2011. "A geometric approach to mechanism design," ECON - Working Papers 056, Department of Economics - University of Zurich, revised Jun 2013.
    9. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    10. McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Goeree, Jacob K. & Kushnir, Alexey, 2016. "Reduced form implementation for environments with value interdependencies," Games and Economic Behavior, Elsevier, vol. 99(C), pages 250-256.
    2. Yu Chen, 2017. "Simplification of Contracting under Adverse Selection with Ex Post State," Graz Economics Papers 2017-01, University of Graz, Department of Economics.
    3. Alexey Kushnir & Shuo Liu, 2015. "On the equivalence of bayesian and dominant strategy implementation: the case of non-linear utilities," ECON - Working Papers 212, Department of Economics - University of Zurich.
    4. Alexey Kushnir & Shuo Liu, 2019. "On the equivalence of Bayesian and dominant strategy implementation for environments with nonlinear utilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 617-644, April.

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    More about this item

    Keywords

    Mechanism design; Dominant strategy implementation; Surplus extraction; Correlation;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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