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Sorting Contests and Contestants

Authors: Barbieri, S.; Serena, M.;

Sorting Contests and Contestants

Abstract

We study the sorting of contestants across Tullock contests, and the allocation of a prize budget across these contests. Our benchmark result is that total effort is maximized by a unique grand contest and contestant exclusions decrease total effort. We consider two extensions of our benchmark result. First, we investigate expected winners' efforts maximization and find that the optimal sorting becomes one with pairwise high-type-only contests. Second, we investigate how to enlarge the strategy space of the designer so as to obtain a greater total effort than that of a unique grand contest, and we find that; (i) if the designer can make contestants' efforts valid for competing simultaneously in more than one contest, then total effort increases when sorting all contestants into a grand contest and low types only into a parallel contest with a smaller prize, and (ii) if the designer can tilt the playing field in favor of some contestants, then total effort increases even further when handicapping high types and sorting all contestants into a unique grand contest.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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