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Asymmetric Sequential Search under Incomplete Information

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  • Minchuk, Yizhaq
  • Sela, Aner

Abstract

We study a two-stage sequential search model with two agents who compete for one job. The agents arrive sequentially, each one in a different stage. The agents' abilities are private information and they are derived from heterogeneous distribution functions. In each stage the designer chooses an ability threshold. If an agent has a higher ability than the ability threshold in the stage in which he arrives, he gets the job and the search is over. We analyze the equilibrium ability thresholds imposed by the designer who wishes to maximize the ability of the agent who gets the job minus the search cost. We also investigate the ratio of the equilibrium ability thresholds as well as the optimal allocation of agents in both stages according to the agents' distributions of abilities.

Suggested Citation

  • Minchuk, Yizhaq & Sela, Aner, 2015. "Asymmetric Sequential Search under Incomplete Information," CEPR Discussion Papers 10579, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:10579
    as

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    References listed on IDEAS

    as
    1. Segev, Ella & Sela, Aner, 2014. "Multi-stage sequential all-pay auctions," European Economic Review, Elsevier, vol. 70(C), pages 371-382.
    2. Ilya Segal, 2003. "Optimal Pricing Mechanisms with Unknown Demand," American Economic Review, American Economic Association, vol. 93(3), pages 509-529, June.
    3. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
    4. S. Christian Albright, 1974. "Optimal Sequential Assignments with Random Arrival Times," Management Science, INFORMS, vol. 21(1), pages 60-67, September.
    5. Parreiras, Sérgio O. & Rubinchik, Anna, 2010. "Contests with three or more heterogeneous agents," Games and Economic Behavior, Elsevier, vol. 68(2), pages 703-715, March.
    6. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    7. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
    8. Gershkov, Alex & Moldovanu, Benny, 2012. "Optimal search, learning and implementation," Journal of Economic Theory, Elsevier, vol. 147(3), pages 881-909.
    9. Arieh Gavious & Yizhaq Minchuk, 2014. "Ranking asymmetric auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 369-393, May.
    10. Fibich, Gadi & Gavious, Arieh & Sela, Aner, 2004. "Revenue equivalence in asymmetric auctions," Journal of Economic Theory, Elsevier, vol. 115(2), pages 309-321, April.
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    More about this item

    Keywords

    asymmetric information; sequential search;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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