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摘要翻译：
服务性运动包括排球、羽毛球和壁球等双人比赛。我们分析了四个规则，包括标准规则(SR)，在标准规则中，球员继续发球，直到他或她输了。追赶规则(CR)将发球给失去前一分的球员--而不是赢得前一分的球员，如SR规则。我们还考虑了两个尾随规则，使得服务器是在总分上尾随的玩家。令人惊讶的是，与SR相比，只有CR给了玩家相同的获胜概率，同时增加了游戏的预期长度，从而使游戏更具竞争性和观赏性。与尾随规则之一不同，CR是策略性的。相比之下，网球规则规定谁发球，什么时候发球；然而，它的决胜局通过公平来保持比赛的竞争性--既不偏袒第一个发球的球员，也不偏袒第二个发球的球员。
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英文标题：
《Catch-Up: A Rule that Makes Service Sports More Competitive》
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作者：
Steven J. Brams, Mehmet S. Ismail, D. Marc Kilgour, Walter Stromquist
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最新提交年份：
2018
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分类信息：
一级分类：Mathematics 数学
二级分类：History and Overview 历史和概况
分类描述：Biographies, philosophy of mathematics, mathematics education, recreational mathematics, communication of mathematics, ethics in mathematics
传记、数学哲学、数学教育、娱乐数学、数学交流、数学伦理
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一级分类：Economics 经济学
二级分类：Theoretical Economics 理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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英文摘要：
Service sports include two-player contests such as volleyball, badminton, and squash. We analyze four rules, including the Standard Rule (SR), in which a player continues to serve until he or she loses. The Catch-Up Rule (CR) gives the serve to the player who has lost the previous point - as opposed to the player who won the previous point, as under SR. We also consider two Trailing Rules that make the server the player who trails in total score. Surprisingly, compared with SR, only CR gives the players the same probability of winning a game while increasing its expected length, thereby making it more competitive and exciting to watch. Unlike one of the Trailing Rules, CR is strategy-proof. By contrast, the rules of tennis fix who serves and when; its tiebreaker, however, keeps play competitive by being fair - not favoring either the player who serves first or who serves second.
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PDF链接：
https://arxiv.org/pdf/1808.06922
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