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Extreme Points and Large Contests

Giovanni Valvassori Bolg\`e

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Abstract: In this paper, we characterize the extreme points of a class of multidimensional monotone functions. This result is then applied to large contests, where it provides a useful representation of optimal allocation rules under a broad class of distributional preferences of the contest designer. In contests with complete information, the representation significantly simplifies the characterization of the equilibria.

Date: 2026-01
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