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A sequential selection game with vetoes

Author

Listed:
  • Alpern, Steve
  • Gal, Shmuel
  • Solan, Eilon

Abstract

We study a selection game between two committee members (the players). They interview candidates sequentially and have to decide, after each interview, whether to hire the candidate or to interview the next candidate. Each player can either accept or reject the candidate, and if he rejects the candidate while the other accepts her, he can cast a veto. The candidate is hired if accepted by at least one player and not vetoed. The total number of vetoes available for each player are fixed in advance. We prove the existence of a subgame perfect equilibrium if there are a finite number of candidates types. For a general candidate distribution we prove the existence of a subgame perfect [epsilon]-equilibrium. We exhibit situations in which a player prefers that the other player would have an extra veto, and even prefers to give one of his vetoes to the other player.

Suggested Citation

  • Alpern, Steve & Gal, Shmuel & Solan, Eilon, 2010. "A sequential selection game with vetoes," Games and Economic Behavior, Elsevier, vol. 68(1), pages 1-14, January.
  • Handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:1-14
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    References listed on IDEAS

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    1. Vrieze, O J & Thuijsman, F, 1989. "On Equilibria in Repeated Games with Absorbing States," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 293-310.
    2. Joseph Kadane & Christopher Stone & Garrick Wallstrom, 1999. "The Donation Paradox for Peremptory Challenges," Theory and Decision, Springer, vol. 47(2), pages 139-155, October.
    3. repec:dau:papers:123456789/6019 is not listed on IDEAS
    4. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, February.
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    Citations

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    Cited by:

    1. Inukai, Keigo & Kawata, Keisuke & Sasaki, Masaru, 2017. "Committee Search with Ex-ante Heterogeneous Agents: Theory and Experimental Evidence," IZA Discussion Papers 10760, Institute for the Study of Labor (IZA).
    2. Rohan DUTTA, 2016. "Joint Search with No Information: An Inefficient Immediate Agreement Theorem," Cahiers de recherche 12-2016, Centre interuniversitaire de recherche en ├ęconomie quantitative, CIREQ.
    3. Alpern, Steve & Chen, Bo, 2017. "The importance of voting order for jury decisions by sequential majority voting," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1072-1081.
    4. Steve Alpern & Shmuel Gal, 2009. "Analysis and design of selection committees: a game theoretic secretary problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 377-394, November.
    5. repec:kap:theord:v:83:y:2017:i:2:d:10.1007_s11238-017-9593-0 is not listed on IDEAS
    6. repec:eee:ecolet:v:160:y:2017:i:c:p:43-45 is not listed on IDEAS
    7. Shi, Xianwen & Moldovanu, Benny, 2013. "Specialization and partisanship in committee search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    8. Francis X. Flanagan, 2015. "Peremptory Challenges and Jury Selection," Journal of Law and Economics, University of Chicago Press, vol. 58(2), pages 385-416.

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