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A sequential selection game with vetoes

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  • 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.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 68 (2010)
Issue (Month): 1 (January)
Pages: 1-14

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Handle: RePEc:eee:gamebe:v:68:y:2010:i:1:p:1-14

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Web page: http://www.elsevier.com/locate/inca/622836

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  1. Manfred J. Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(2_2), pages 93-111, 02.
  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. Vrieze, O J & Thuijsman, F, 1989. "On Equilibria in Repeated Games with Absorbing States," International Journal of Game Theory, Springer, vol. 18(3), pages 293-310.
  4. Solan, Eilon & Vieille, Nicolas, 2002. "Correlated Equilibrium in Stochastic Games," Economics Papers from University Paris Dauphine 123456789/6019, Paris Dauphine University.
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Cited by:
  1. Steve Alpern & Shmuel Gal, 2009. "Analysis and design of selection committees: a game theoretic secretary problem," International Journal of Game Theory, Springer, vol. 38(3), pages 377-394, November.
  2. Shi, Xianwen & Moldovanu, Benny, 2013. "Specialization and partisanship in committee search," Theoretical Economics, Econometric Society, vol. 8(3), September.

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