相扑教练问题

IF 0.3 4区经济学 Q4 ECONOMICS

Review of Economic Design Pub Date : 2023-01-01 Epub Date: 2022-11-04 DOI:10.1007/s10058-022-00316-4

Daniel Rehsmann

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引用次数: 0

摘要

我们要解决的是将随机依赖的资源束优化分配给一组同时进行的比赛的问题。为此，我们研究了布洛托上校博弈的一个变种，即网球教练问题。我们设计了一种彻底的概率报酬表示方法，并充分描述了这类博弈中的均衡状态。我们进一步正式提出了在静态比较环境中进行战略性团队训练的想法。该问题适用于几种不同的经济互动，但似乎在有个人比赛的团队运动中最为普遍，例如网球和相扑。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The Sumo coach problem.

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The Sumo coach problem.

We address the optimal allocation of stochastically dependent resource bundles to a set of simultaneous contests. For this purpose, we study a modification of the Colonel Blotto Game called the Tennis Coach Problem. We devise a thoroughly probabilistic method of payoff representation and fully characterize equilibria in this class of games. We further formalize the idea of strategic team training in a comparative static setting. The problem applies to several distinct economic interactions but seems most prevalent in team sports with individual matches, for instance, in Tennis and Sumo.

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来源期刊

Review of Economic Design ECONOMICS-

CiteScore

0.80

自引率

28.60%

发文量

期刊介绍： Review of Economic Design comprises the creative art and science of inventing, analyzing and testing economic as well as social and political institutions and mechanisms aimed at achieving individual objectives and social goals. In this age of Economic Design, the accumulated traditions and wealth of knowledge in normative and positive economics and the strategic analysis of game theory are applied with novel ideas in the creative tasks of designing and assembling diverse legal-economic instruments. These include constitutions and other assignments of rights, mechanisms for allocation or regulation, tax and incentive schemes, contract forms, voting and other choice aggregation procedures, markets, auctions, organizational forms, such as partnerships, together with supporting membership and other property rights, and information systems. These designs, the methods of analysis used in their scrutiny, as well as the mathematical techniques and empirical knowledge they employ, along with comparative assessments of the performance of known economic systems and implemented designs, all of these form natural components of the subject matter of Economic Design. Officially cited as: Rev Econ Design