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A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements

Author

Listed:
  • Juan M. Benito-Ostolaza

    (Institute for Advanced Research in Business and Economics (INARBE) and Departamento de Economía, Universidad Pública de Navarra (UPNA), 31006 Pamplona, Spain)

  • María J. Campión

    (Institute for Advanced Research in Business and Economics (INARBE) and Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra (UPNA), 31006 Pamplona, Spain)

  • Asier Estevan

    (Institute for Advanced Materials and Mathematics (INAMAT) and Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra (UPNA), 31006 Pamplona, Spain)

Abstract

Social norms are a set of rules to be followed by the people of a community in order to have a better coexistence, to which the behaviors, tasks, and activities of the human being must be adjusted. The set or system of norms, rules, or duties regulates the actions of individuals among themselves. This work presents a new and original approach to the situations of agreement as well as to the constructions of regulations. This is done by giving a mathematical formalization to the set of all possible agreements or regulations, so that, then, the proximity between them is defined by means of a premetric. Thanks to this mathematical structure that tries to capture the problematic of agreements and modifications of regulations, some currently issues related to game theory or law are now reduced to mathematical optimization problems.

Suggested Citation

  • Juan M. Benito-Ostolaza & María J. Campión & Asier Estevan, 2021. "A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements," Mathematics, MDPI, vol. 9(10), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:10:p:1116-:d:554757
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    References listed on IDEAS

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