图表中的极权主义随机拔河游戏

Q2 Mathematics

Communications on Stochastic Analysis Pub Date : 2019-07-22 DOI:10.31390/cosa.13.3.06

Marcos Ant'on, Fernando Charro, Peiyong Wang

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引用次数: 2

摘要

在这篇文章中，我们讨论了一个随机拔河游戏，其中一个玩家有权在每个回合决定是否玩一轮经典的随机拔河，或者让另一个玩家选择新的游戏位置以换取固定的收益。我们利用离散比较原理和黏性工具，以及概率论证，证明了该博弈具有一定的值。这个游戏与詹森的极值方程有关，它在詹森著名的无穷调和函数唯一性证明中起着关键作用。

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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Totalitarian Random Tug-of-War Games in Graphs

In this work we discuss a random Tug-of-War game in graphs where one of the players has the power to decide at each turn whether to play a round of classical random Tug-of-War, or let the other player choose the new game position in exchange of a fixed payoff. We prove that this game has a value using a discrete comparison principle and viscosity tools, as well as probabilistic arguments. This game is related to Jensen's extremal equations, which have a key role in Jensen's celebrated proof of uniqueness of infinity harmonic functions.

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来源期刊

Communications on Stochastic Analysis Mathematics-Statistics and Probability

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： The journal Communications on Stochastic Analysis (COSA) is published in four issues annually (March, June, September, December). It aims to present original research papers of high quality in stochastic analysis (both theory and applications) and emphasizes the global development of the scientific community. The journal welcomes articles of interdisciplinary nature. Expository articles of current interest will occasionally be published. COSAis indexed in Mathematical Reviews (MathSciNet), Zentralblatt für Mathematik, and SCOPUS