Alpern, Steve, Gal, Shmuel and Solan, Eilon (2010) A sequential selection game with vetoes. Games and Economic Behavior, Vol.68 (No.1). pp. 1-14. doi:10.1016/j.geb.2009.05.006 ISSN 0899-8256.

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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 ε-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.

Item Type:	Journal Article
Divisions:	Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School
Journal or Publication Title:	Games and Economic Behavior
Publisher:	Elsevier
ISSN:	0899-8256
Official Date:	2010
Dates:	Date Event 2010 Published
Volume:	Vol.68
Number:	No.1
Page Range:	pp. 1-14
DOI:	10.1016/j.geb.2009.05.006
Status:	Peer Reviewed
Publication Status:	Published

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