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

Juan M. Benito-Ostolaza, María J. Campión and Asier Estevan
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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
Authors registered in the RePEc Author Service: Juan Miguel Benito Ostolaza

Mathematics, 2021, vol. 9, issue 10, 1-15

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.

Keywords: agreements; governance; pareto optimality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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