TY - JOUR
T1 - A sequential selection game with vetoes
AU - Alpern, Steve
AU - Gal, Shmuel
AU - Solan, Eilon
N1 - Funding Information:
✩ The research of Alpern and Gal was supported by NATO Collaborative Research Grant CLG 983583.
PY - 2010/1
Y1 - 2010/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=72049132083&partnerID=8YFLogxK
U2 - 10.1016/j.geb.2009.05.006
DO - 10.1016/j.geb.2009.05.006
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AN - SCOPUS:72049132083
SN - 0899-8256
VL - 68
SP - 1
EP - 14
JO - Games and Economic Behavior
JF - Games and Economic Behavior
IS - 1
ER -