CFDP 1254

Optimal Scrutiny in Multi-Period Promotion Tournaments

Author(s): 

Publication Date: May 2000

Pages: 26

Abstract: 

Consider a principal who hires heterogeneous agents to work for him over T periods, without prior knowledge of their respective skills, and intends to promote one of them at the end. In each period the agents choose effort levels and produce random outputs, independently of each other, and are fully informed of the past history of outputs

The principal’s major objective is to maximize the total expected output, but he may also put some weight on detecting the higher-skilled agent for promotion. To this end, he randomly samples n out of the T periods and awards the promotion to the agent who produces more on the sample. This determines an extensive form game Γ(T,n), which we analyze for its subgame perfect equilibria in behavioral strategies.

We show that the principal will do best to always choose a small sample size n. More precisely, if ε(T) is the maximal optimal sample size, then ε(T)/T → 0 as T → ∞.

Keywords: 

Multi-period promotion tournaments, extensive form games, subgame perfect equilibria, undominated sample sizes

JEL Classification Codes:  C72, D82, J41

Note: 

Published in Games and Economic Behavior (January 2003), 42(1): 1-24 [DOI]