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Allocation of Prizes in Contests with Participation Constraints
Author(s) -
Megidish Reut,
Sela Aner
Publication year - 2013
Publication title -
journal of economics and management strategy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.672
H-Index - 68
eISSN - 1530-9134
pISSN - 1058-6407
DOI - 10.1111/jems.12030
Subject(s) - contest , constraint (computer aided design) , microeconomics , economics , operations research , computer science , mathematical economics , mathematics , political science , law , geometry
We study all‐pay contests with an exogenous minimal effort constraint where a player can participate in a contest only if his effort (output) is equal to or higher than the minimal effort constraint. Contestants are privately informed about a parameter (ability) that affects their cost of effort. The designer decides about the size and number of prizes. We analyze the optimal prize allocation for the contest designer who wishes to maximize either the total effort or the highest effort. It is shown that if the minimal effort constraint is relatively high, the winner‐take‐all contest in which the contestant with the highest effort wins the entire prize sum does not maximize the expected total effort or the expected highest effort. Rather, a random contest in which the entire prize sum is equally allocated to all the participants yields a higher expected total effort as well as a higher expected highest effort.