Behavioral Equilibrium and Evolutionary Dynamics in Asset Markets: Survival of the Fittest for Portfolio Rules | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Behavioral Equilibrium and Evolutionary Dynamics in Asset Markets: Survival of the Fittest for Portfolio Rules I. V. Evstigneev, T. Hens, M. J. Vanaei, M. V. Zhitlukhin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3940768/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper analyzes a dynamic stochastic equilibrium model of an asset market based on behavioral and evolutionary principles. The core of the model is a non-traditional game-theoretic framework combining elements of stochastic dynamic games and evolutionary game theory. Its key characteristic feature is that it relies only on objectively observable market data and does not use hidden individual agents’ characteristics (such as their utilities and beliefs). A central goal of the study is to identify an investment strategy that allows an investor to survive in the market selection process, i.e., to keep with probability one a strictly positive, bounded away from zero share of market wealth over an infinite time horizon, irrespective of the strategies used by the other players. The main results show that under very general assumptions, such a strategy exists, is asymptotically unique and easily computable. Most of the related models currently considered in this field assume that asset payo¤s are exogenous and depend only on the underlying stochastic process of states of the world. The present work develops a modeling framework where the payo¤s are endogenous: they depend on the total market wealth invested in the asset. JEL Classification: C73, D53, D58, G11, G02 Evolutionary finance Behavioral finance Stochastic dynamic games DSGE Survival portfolio rules Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3940768","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":271893881,"identity":"57176541-045d-4f1f-a059-e6737828e695","order_by":0,"name":"I. V. Evstigneev","email":"","orcid":"","institution":"University of Manchester","correspondingAuthor":false,"prefix":"","firstName":"I.","middleName":"V.","lastName":"Evstigneev","suffix":""},{"id":271893882,"identity":"3c2e27b8-0b2b-4651-80d0-4f85f373c05f","order_by":1,"name":"T. Hens","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVRIiWNgGAWjYDACCRRGxQF+IMkGxAdw6uABq0yAaTlzQLKBNC2MbURosZduPvbx5w+bPAYg4+HPeXckGCTSnz1gqLmD2xaZY8mzeRLSihlkjqUb8257BtSSkG7AcOwZHoflGDMzJBxObJDIMZNm3Ha4DqjlmARjw2G8Whh/JPwHasn/JvlzzmGgLYltBLUw8CQcANnCJsHbANKSzIZfy420ZGaetGSgyWlm0jzHnkmw8TxjA7oNtxb2GcmHGX/Y2CX2SyQ/k/xRc0eCnz39mcSHGtxa4IANhZFAWMMoGAWjYBSMAjwAAGt5TjsKgeC3AAAAAElFTkSuQmCC","orcid":"","institution":"University of Zurich","correspondingAuthor":true,"prefix":"","firstName":"T.","middleName":"","lastName":"Hens","suffix":""},{"id":271893883,"identity":"8711e79e-f811-49f7-b621-9b4710c82d3c","order_by":2,"name":"M. J. Vanaei","email":"","orcid":"","institution":"University of Manchester","correspondingAuthor":false,"prefix":"","firstName":"M.","middleName":"J.","lastName":"Vanaei","suffix":""},{"id":271893884,"identity":"f268e987-769c-467c-9ca0-95927734b81f","order_by":3,"name":"M. V. Zhitlukhin","email":"","orcid":"","institution":"Russian Academy of Sciences","correspondingAuthor":false,"prefix":"","firstName":"M.","middleName":"V.","lastName":"Zhitlukhin","suffix":""}],"badges":[],"createdAt":"2024-02-08 18:06:57","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3940768/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3940768/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":71079605,"identity":"89441c5c-83d4-440e-8882-26feb2a94166","added_by":"auto","created_at":"2024-12-11 01:46:40","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":306245,"visible":true,"origin":"","legend":"","description":"","filename":"EHVZ08022024.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3940768/v1_covered_6d668521-c843-470a-9192-043e1d71589d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Behavioral Equilibrium and Evolutionary Dynamics in Asset Markets: Survival of the Fittest for Portfolio Rules","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Evolutionary finance, Behavioral finance, Stochastic dynamic games, DSGE, Survival portfolio rules","lastPublishedDoi":"10.21203/rs.3.rs-3940768/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3940768/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper analyzes a dynamic stochastic equilibrium model of an asset market based on behavioral and evolutionary principles. The core of the model is a non-traditional game-theoretic framework combining elements of stochastic dynamic games and evolutionary game theory. Its key characteristic feature is that it relies only on objectively observable market data and does not use hidden individual agents’ characteristics (such as their utilities and beliefs). A central goal of the study is to identify an investment strategy that allows an investor to survive in the market selection process, i.e., to keep with probability one a strictly positive, bounded away from zero share of market wealth over an infinite time horizon, irrespective of the strategies used by the other players. The main results show that under very general assumptions, such a strategy exists, is asymptotically unique and easily computable. Most of the related models currently considered in this field assume that asset payo¤s are exogenous and depend only on the underlying stochastic process of states of the world. The present work develops a modeling framework where the payo¤s are endogenous: they depend on the total market wealth invested in the asset.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eJEL Classification: C73, D53, D58, G11, G02\u003c/strong\u003e\u003c/p\u003e","manuscriptTitle":"Behavioral Equilibrium and Evolutionary Dynamics in Asset Markets: Survival of the Fittest for Portfolio Rules","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-02-12 11:10:47","doi":"10.21203/rs.3.rs-3940768/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"30149adf-c3a9-474a-8d51-831eddd30918","owner":[],"postedDate":"February 12th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-12-11T01:38:24+00:00","versionOfRecord":[],"versionCreatedAt":"2024-02-12 11:10:47","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-3940768","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3940768","identity":"rs-3940768","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.