Abstract
A donation paradox occurs when a player gives an apparently valuable prerogative to another player, but ‘does better’, according to some criterion. Peremptory challenges, used in choosing a American jury, permit each side to veto a certain number of potential jurors. With even a very simple model of jury selection, it is shown that for one side to give a peremptory challenge to the other side may lead to a more favorable jury, an instance of the donation paradox. Both a theorem and examples are given concerning the existence of the donation paradox in the optimal use of peremptory challenges.
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Kadane, J.B., Stone, C.A. & Wallstrom, G. The Donation Paradox for Peremptory Challenges. Theory and Decision 47, 139–155 (1999). https://doi.org/10.1023/A:1005190513334
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DOI: https://doi.org/10.1023/A:1005190513334