The proportional rule for Bankrupt problems: Two axiomatizations

Authors

  • Jony Alexander Rojas Rojas Universidad Nacional Autónoma de Nicaragua-Managua
  • Roberto Carlos Picados Reyes Ministerio de Educación de Nicaragua

DOI:

https://doi.org/10.5377/recsp.v2i2.9296

Keywords:

Bankruptcy problems, Convexity axiom, Proportional rule

Abstract

The principle of proportionality is one of the oldest forms of distribution in the literature of distribution problems. In this article two characterizations of the proportional rule are given: one as the only function that satisfies the axioms of additivity, invariance of scale, equity and convexity; and the other characterization uses the axioms of equal treatment to equals and convexity.

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Author Biographies

Jony Alexander Rojas Rojas, Universidad Nacional Autónoma de Nicaragua-Managua

Doctor en Matemáticas Aplicadas. Profesor Investigador de la Universidad Nacional Autónoma de Nicaragua-Managua (UNAN-Managua).

Roberto Carlos Picados Reyes, Ministerio de Educación de Nicaragua

Licenciado en Ciencias de la Educación con Mención en Matemáticas. Asesor Pedagógico Nacional del Ministerio de Educación de Nicaragua.

Published

2019-12-20

How to Cite

Rojas Rojas, J. A., & Picados Reyes, R. C. (2019). The proportional rule for Bankrupt problems: Two axiomatizations. Revista Electrónica De Conocimientos, Saberes Y Prácticas, 2(2), 13–28. https://doi.org/10.5377/recsp.v2i2.9296

Issue

Section

Educational Research