A sequential selection game with vetoes

Steve Alpern, Shmuel Gal, Eilon Solan

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalGames and Economic Behavior
Issue number1
StatePublished - Jan 2010

Bibliographical note

Funding Information:
✩ The research of Alpern and Gal was supported by NATO Collaborative Research Grant CLG 983583.

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics


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