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Proportional clearing mechanisms in financial systems: An axiomatic approach

  • Datos identificativos

    Identificador: imarina:9366481
    Autores:
    Calleja, PLlerena, F
    Resumen:
    We address the problem of clearing mutual obligations among agents when a financial network collapses. To do so, we adopt an axiomatic approach and provide the first comprehensive characterization of the rules based on the principle of proportionality, covering the entire domain of financial systems. While a previous attempt by Csoka and Herings (2021) tackled this issue in a context where agents have strictly positive initial endowments, we show that their properties do not fully capture the set of proportional rules when extended to the full financial systems' domain. To overcome this limitation, we introduce new properties that emphasize the value of equity of the firms in the network. We show that a clearing mechanism satisfies compatibility, limited liability, absolute priority, equity continuity, and non -manipulability by clones if and only if each agent receives a payment proportional to the value of their claims. This characterization holds in the framework studied by Csoka and Herings (2021).
  • Otros:

    Autor según el artículo: Calleja, P; Llerena, F
    Departamento: Gestió d'Empreses
    Autor/es de la URV: Llerena Garrés, Francisco
    Palabras clave: Rules Risk Proportional financial rules Financial systems Contagion Bankruptcy problem Axiomatization
    Resumen: We address the problem of clearing mutual obligations among agents when a financial network collapses. To do so, we adopt an axiomatic approach and provide the first comprehensive characterization of the rules based on the principle of proportionality, covering the entire domain of financial systems. While a previous attempt by Csoka and Herings (2021) tackled this issue in a context where agents have strictly positive initial endowments, we show that their properties do not fully capture the set of proportional rules when extended to the full financial systems' domain. To overcome this limitation, we introduce new properties that emphasize the value of equity of the firms in the network. We show that a clearing mechanism satisfies compatibility, limited liability, absolute priority, equity continuity, and non -manipulability by clones if and only if each agent receives a payment proportional to the value of their claims. This characterization holds in the framework studied by Csoka and Herings (2021).
    Áreas temáticas: Social sciences, mathematical methods Mathematics, interdisciplinary applications Mathematics, applied Matemática / probabilidade e estatística Interdisciplinar Economics and econometrics Economics Economia Ciencias sociales Applied mathematics
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: francisco.llerena@urv.cat francisco.llerena@urv.cat
    Identificador del autor: 0000-0002-4898-8404 0000-0002-4898-8404
    Fecha de alta del registro: 2024-08-03
    Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Journal Of Mathematical Economics. 111 102955-
    Referencia de l'ítem segons les normes APA: Calleja, P; Llerena, F (2024). Proportional clearing mechanisms in financial systems: An axiomatic approach. Journal Of Mathematical Economics, 111(), 102955-. DOI: 10.1016/j.jmateco.2024.102955
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2024
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Applied Mathematics,Economics,Economics and Econometrics,Mathematics, Applied,Mathematics, Interdisciplinary Applications,Social Sciences, Mathematical Methods
    Rules
    Risk
    Proportional financial rules
    Financial systems
    Contagion
    Bankruptcy problem
    Axiomatization
    Social sciences, mathematical methods
    Mathematics, interdisciplinary applications
    Mathematics, applied
    Matemática / probabilidade e estatística
    Interdisciplinar
    Economics and econometrics
    Economics
    Economia
    Ciencias sociales
    Applied mathematics
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