论文标题
比赛中的公平,一致的奖品分配
Fair and consistent prize allocation in competitions
论文作者
论文摘要
鉴于比赛的最终排名,应如何在竞争对手中分配总奖金?我们研究满足基本团结和公平原则的一致奖品分配规则。特别是,我们公理地描述了一些满足匿名性,秩序保存和end赋的规则家族,它们都介于平等分裂规则和获胜者takes-takes-All规则之间。直接获得了规则和亚家族的特定特征。据我们所知,本文是第一个直接从公理上制定和激励对排名竞争的奖品分配规则的文章。
Given the final ranking of a competition, how should the total prize endowment be allocated among the competitors? We study consistent prize allocation rules satisfying elementary solidarity and fairness principles. In particular, we axiomatically characterize several families of rules satisfying anonymity, order preservation, and endowment monotonicity, which all fall between the Equal Division rule and the Winner-Takes-All rule. Specific characterizations of rules and subfamilies are directly obtained. To our knowledge, this paper is the first that develops and motivates prize allocation rules for rank-order competitions directly from axioms.