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Incentivizing Hidden Types in Secretary Problem

2022/08/11 by Longjian Li, Li, Longjian, Alexis Akira Toda +1
Decision Sciences · Economics, Econometrics and Finance · #Auction Theory and Applications #Game Theory and Applications #Game Theory and Voting Systems

paper · pdf · doi:10.48550/arxiv.2208.05897

Abstract

We study a game between N job applicants who incur a cost c (relative to the job value) to reveal their type during interviews and an administrator who seeks to maximize the probability of hiring the best. We define a full learning equilibrium and prove its existence, uniqueness, and optimality. In equilibrium, the administrator accepts the current best applicant n with probability c if n

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