How to Maximize the Total Strength of Survivors in a Battle and Tournament in Gladiator Game Models

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-03-28 DOI:10.1134/S1064562424602725

M. A. Khodiakova

引用次数: 0

Abstract

In 1984, Kaminsky, Luks, and Nelson formulated the gladiator game model of two teams with given strengths. Suppose that a team wants to maximize its expected strength at the end of a battle. We consider an optimization problem: how to distribute the team’s strength among its gladiators. In the above we suppose that the teams distribute their strengths at the beginning of a battle. We also consider Nash equilibria when the teams may change gladiators’ strengths before every fight. We consider two cases. In both, the first team wants to maximize its strength. The second team wants to maximize its strength too in the first case or wants to minimize the first team’s strength in the second case.

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如何在角斗士游戏模式的战斗和锦标赛中最大化幸存者的总力量

在1984年，Kaminsky， Luks和Nelson提出了角斗士游戏模型，即两个具有特定优势的团队。假设一个团队希望在战斗结束时最大化其预期力量。我们考虑一个优化问题：如何在角斗士之间分配团队的力量。在上面的例子中，我们假设两支队伍在战斗开始时分配他们的力量。我们还考虑纳什均衡，当团队在每次战斗前可能会改变角斗士的力量。我们考虑两种情况。在这两种情况下，一线队都希望最大限度地发挥自己的实力。在第一种情况下，第二支队伍想要最大化自己的实力，或者在第二种情况下，想要最小化第一支队伍的实力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.