一个程序，以找到所有纯纳什均衡与n个参与者和m策略的游戏:纳什均衡查找- NEFinder

Q3 Engineering

Gestao e Producao Pub Date : 2021-08-02 DOI:10.1590/1806-9649-2021v28e5640

Renan Henrique Cavicchioli Sugiyama, A. Leoneti

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引用次数: 2

摘要

摘要:纳什均衡是研究群体决策过程中人类行为的一个重要概念。考虑到寻找纳什均衡的复杂性，计算工具是必要的。为此开发了几个程序。然而，可用的程序要么不全面，要么可能难以安装和处理，为非专业人员创造了“进入障碍”。本研究的目的是双重的:(i)首先，它是确定和讨论关于寻找纳什均衡的可用程序;(ii)其次，基于纳什均衡的理论特性，开发一个程序，能够在具有“n”参与者和“m”策略(“n”和“m”是有限数字)的游戏中找到所有纯纳什均衡，作为Microsoft Excel®的宏观工具。通过提供一种新的工具，促进在群体决策问题解决方案中使用博弈论概念，从而实现使用广泛软件的实际应用，预计该计划可以为运筹学领域做出贡献。

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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A program to find all pure Nash equilibria in games with n-players and m-strategies: the Nash Equilibria Finder – NEFinder

Abstract: Nash equilibrium is an important concept for studying human behavior in group decision making process. Given the complexity of finding Nash equilibria, computational tools are necessary to find them. Several programs were developed for this task. However, available programs are either not comprehensive or might be of difficult installation and handling, creating a “barrier of entry” to non-specialists. The aims of this research are twofold: (i) firstly, it was to identify and to discuss about the available programs for finding Nash equilibria; and (ii) secondly, based on the theoretical proprieties of a Nash equilibrium, to develop a program capable of finding all pure Nash equilibria in games with “n” players and “m” strategies (“n” and “m” being finite numbers) as a Macro tool for Microsoft Excel®. It is expected that the program can contributed to the area of Operations Research by providing a new tool that facilitate the use of game theory concepts within group decision-making problem-solving scenarios enabling practical applications using a widespread software.

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来源期刊

Gestao e Producao Engineering-Industrial and Manufacturing Engineering

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

44 weeks

期刊介绍： Gestão & Produção is a journal published four times a year year (March, June, September and December) by the Departamento de Engenharia de Produção (DEP) of Universidade Federal de São Carlos (UFSCar). The first issue of Gestão & Produção was published in April, 1994. Actually, G&P was result of experience of professors of DEP/UFSCar in editing, in the beginning, "Cadernos DEP" in the 1980s, followed by "Cadernos de Engenharia de Produção". The last three issues of "Cadernos de Engenharia de Produção" were a test previous to the launch of Gestão & Produção because most of the journal characteristics were already established, like regularity.