模糊逻辑如何更好地决定博弈平衡?

Alireza Chakeri, Ali Nouri Dariani, C. Lucas
{"title":"模糊逻辑如何更好地决定博弈平衡?","authors":"Alireza Chakeri, Ali Nouri Dariani, C. Lucas","doi":"10.1109/IS.2008.4670407","DOIUrl":null,"url":null,"abstract":"Classical game theory is concerned with how rational players make decisions when they are faced with known payoffs. In the past decade, fuzzy logic has been widely used to manage uncertainties in games. In this paper, we employ fuzzy logic to determine the priority of a payoff to other payoffs. A new term is introduced to measure the preference of one payoff to others. By this means a fuzzy preference relation is constructed and using a least deviation method, the priority of every payoff for each player is calculated and the relation of this value with the degree of being Nash is discussed. In the second part of the paper, games with fuzzy payoffs and fuzzy satisfaction functions (SF), satisfaction degree from each payoff, are considered and a new method for analyzing these games is proposed. In this regard we calculate the similarity between SF and payoffs and make a crisp game from the fuzzy game and apply our mentioned method to analyze that game. Compared to the previous generalization, our method has more sensitivity to the slight alternation of payoffs and yields more realistic results. We also studied the effect of playerspsila greediness, modeled by the SF, on the gamepsilas equilibriums.","PeriodicalId":305750,"journal":{"name":"2008 4th International IEEE Conference Intelligent Systems","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"How can fuzzy logic determine game equilibriums better?\",\"authors\":\"Alireza Chakeri, Ali Nouri Dariani, C. Lucas\",\"doi\":\"10.1109/IS.2008.4670407\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Classical game theory is concerned with how rational players make decisions when they are faced with known payoffs. In the past decade, fuzzy logic has been widely used to manage uncertainties in games. In this paper, we employ fuzzy logic to determine the priority of a payoff to other payoffs. A new term is introduced to measure the preference of one payoff to others. By this means a fuzzy preference relation is constructed and using a least deviation method, the priority of every payoff for each player is calculated and the relation of this value with the degree of being Nash is discussed. In the second part of the paper, games with fuzzy payoffs and fuzzy satisfaction functions (SF), satisfaction degree from each payoff, are considered and a new method for analyzing these games is proposed. In this regard we calculate the similarity between SF and payoffs and make a crisp game from the fuzzy game and apply our mentioned method to analyze that game. Compared to the previous generalization, our method has more sensitivity to the slight alternation of payoffs and yields more realistic results. We also studied the effect of playerspsila greediness, modeled by the SF, on the gamepsilas equilibriums.\",\"PeriodicalId\":305750,\"journal\":{\"name\":\"2008 4th International IEEE Conference Intelligent Systems\",\"volume\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 4th International IEEE Conference Intelligent Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IS.2008.4670407\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 4th International IEEE Conference Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IS.2008.4670407","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18

摘要

经典博弈论关注的是理性的参与者在面对已知收益时如何做出决策。在过去的十年中,模糊逻辑被广泛用于管理游戏中的不确定性。本文采用模糊逻辑来确定某一收益相对于其他收益的优先级。引入了一个新的术语来衡量一种收益对其他收益的偏好。通过构造模糊偏好关系,利用最小偏差法计算了每个参与人的每个收益的优先级,并讨论了该值与纳什程度的关系。本文的第二部分考虑了具有模糊收益和模糊满足函数(SF)的博弈,并提出了一种分析这些博弈的新方法。在这方面,我们计算了SF和收益之间的相似性,从模糊博弈中得到一个清晰的博弈,并应用我们提到的方法来分析该博弈。与之前的泛化方法相比,我们的方法对收益的微小变化更敏感,得到的结果更真实。我们还研究了以SF为模型的玩家贪婪对博弈平衡的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
How can fuzzy logic determine game equilibriums better?
Classical game theory is concerned with how rational players make decisions when they are faced with known payoffs. In the past decade, fuzzy logic has been widely used to manage uncertainties in games. In this paper, we employ fuzzy logic to determine the priority of a payoff to other payoffs. A new term is introduced to measure the preference of one payoff to others. By this means a fuzzy preference relation is constructed and using a least deviation method, the priority of every payoff for each player is calculated and the relation of this value with the degree of being Nash is discussed. In the second part of the paper, games with fuzzy payoffs and fuzzy satisfaction functions (SF), satisfaction degree from each payoff, are considered and a new method for analyzing these games is proposed. In this regard we calculate the similarity between SF and payoffs and make a crisp game from the fuzzy game and apply our mentioned method to analyze that game. Compared to the previous generalization, our method has more sensitivity to the slight alternation of payoffs and yields more realistic results. We also studied the effect of playerspsila greediness, modeled by the SF, on the gamepsilas equilibriums.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信