Markets as Adversarial Control Systems: Stability, Metastability, and Feedback-Induced Instability

Markets as Adversarial Control Systems: Stability, Metastability, and Feedback-Induced Instability | 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 Markets as Adversarial Control Systems: Stability, Metastability, and Feedback-Induced Instability Krishna Bajpai This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8422090/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 Modern electronic markets have undergone a structural transition from human-mediated exchange mechanisms to high-frequency adversarial control systems governed by competing algorithmic feedback laws. While traditional economic theory attributes market dislocations to behavioral biases or exogenous shocks, such explanations fail to account for instabilities arising in environments populated by rational, mathematically optimized agents. This paper reframes financial markets as dynamical plants controlled by heterogeneous, interacting controllers operating under latency, information, and impact constraints. We show that instability is not anomalous but emerges endogenously from optimal feedback operating in nonnormal, metastable state spaces. Introducing the concepts of metastable markets, non-normal transient amplification, and a quantitative Control Fragility Index (CFI), we demonstrate how markets can appear statistically stable while remaining critically sensitive to marginal changes in control gain, synchronization, or delay. We further identify a six-part taxonomy of feedbackinduced instabilities—including reflexive resonance, information gradient collapse, and liquidity phase transitions—that arise without manipulation, deception, or irrational behavior. Finally, we argue that market stability must be treated as a firstclass design constraint and propose design-level regulatory interventions grounded in control theory rather than behavioral restriction. Our results suggest that systemic instability is the natural byproduct of local optimality in adversarial feedback environments and that equilibrium existence alone is insufficient to guarantee dynamical safety. Control theory algorithmic trading metastability feedback instability market microstructure systemic risk Full Text Additional Declarations The authors declare no competing interests. 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-8422090","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":563926844,"identity":"5169b205-1e91-41d3-861b-7f3a90beabc5","order_by":0,"name":"Krishna 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Instability\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Individual Researcher","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":"Control theory, algorithmic trading, metastability, feedback instability, market microstructure, systemic risk","lastPublishedDoi":"10.21203/rs.3.rs-8422090/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8422090/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eModern electronic markets have undergone a structural transition from human-mediated exchange mechanisms to high-frequency adversarial control systems governed by competing algorithmic feedback laws. While traditional economic theory attributes market dislocations to behavioral biases or exogenous shocks, such explanations fail to account for instabilities arising in environments populated by rational, mathematically optimized agents. This paper reframes financial markets as dynamical plants controlled by heterogeneous, interacting controllers operating under latency, information, and impact constraints. We show that instability is not anomalous but emerges endogenously from optimal feedback operating in nonnormal, metastable state spaces. Introducing the concepts of metastable markets, non-normal transient amplification, and a quantitative Control Fragility Index (CFI), we demonstrate how markets can appear statistically stable while remaining critically sensitive to marginal changes in control gain, synchronization, or delay. We further identify a six-part taxonomy of feedbackinduced instabilities\u0026mdash;including reflexive resonance, information gradient collapse, and liquidity phase transitions\u0026mdash;that arise without manipulation, deception, or irrational behavior. Finally, we argue that market stability must be treated as a firstclass design constraint and propose design-level regulatory interventions grounded in control theory rather than behavioral restriction. Our results suggest that systemic instability is the natural byproduct of local optimality in adversarial feedback environments and that equilibrium existence alone is insufficient to guarantee dynamical safety.\u003c/p\u003e","manuscriptTitle":"Markets as Adversarial Control Systems: Stability, Metastability, and Feedback-Induced Instability","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-12-23 08:00:19","doi":"10.21203/rs.3.rs-8422090/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":"b2b2b5d2-97a8-4930-8053-788c0fcb2fe0","owner":[],"postedDate":"December 23rd, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-12-23T08:00:19+00:00","versionOfRecord":[],"versionCreatedAt":"2025-12-23 08:00:19","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8422090","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8422090","identity":"rs-8422090","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}