{"title":"Likelihood Equilibria in the Ising Game","authors":"A. V. Leonidov","doi":"10.3103/S1068335624601171","DOIUrl":null,"url":null,"abstract":"<p>A description of static equilibria in the noisy binary choice (Ising) game on complete and random graphs resulting from maximization of the likelihood function of system configurations is presented. An equivalence of such likelihood equilibria to the competitive Bayes–Nash quantal response equilibria in the special case of self-consistent expectations of agents is established. It is shown that the same expectation equilibria can be obtained using the partition function formalism.</p>","PeriodicalId":503,"journal":{"name":"Bulletin of the Lebedev Physics Institute","volume":"51 10","pages":"395 - 402"},"PeriodicalIF":0.6000,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Lebedev Physics Institute","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S1068335624601171","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
A description of static equilibria in the noisy binary choice (Ising) game on complete and random graphs resulting from maximization of the likelihood function of system configurations is presented. An equivalence of such likelihood equilibria to the competitive Bayes–Nash quantal response equilibria in the special case of self-consistent expectations of agents is established. It is shown that the same expectation equilibria can be obtained using the partition function formalism.
期刊介绍：
Bulletin of the Lebedev Physics Institute is an international peer reviewed journal that publishes results of new original experimental and theoretical studies on all topics of physics: theoretical physics; atomic and molecular physics; nuclear physics; optics; lasers; condensed matter; physics of solids; biophysics, and others.
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