Un algoritmo para el cálculo de asignaciones en el problema de división con referencias múltiples.

• Sánchez Sánchez, Francisca J. ^[1] ; Hinojosa Ramos, Miguel A. ^[1] ; Mármol Conde, Amparo M. ^[2]
  1. [1] Universidad Pablo de Olavide

     Universidad Pablo de Olavide

     Sevilla, España

     
  2. [2] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: Anales de ASEPUMA, ISSN-e 2171-892X, Nº. 19, 2011
• Idioma: español
• Enlaces
  • Texto completo (pdf)
  • Texto completo
• Resumen
  • español

    En este trabajo consideramos el problema de reparto con referencias múltiples. Como solución para este problema, hemos diseñado una regla que extiende la conocida regla del Talmud y tiene en cuenta la multidimensionalidad de las referencias de cada agente. Proponemos un algoritmo para el cálculo de las asignaciones que proporciona la regla y presentamos resultados computacionales.

  • English

    In this paper we consider an extension of the classic division problem with claims, the division problem with multiple references. For this problem, we have designed a Talmudic rule that takes into account the multidimensionality of the agents' references. We propose an algorithm to compute the allocations induced by the rule and present computational results.

• Referencias bibliográficas
  • Aumann R., Maschler M. (1985). Game Theoretic Analysis of Bankruptcy Problem from the Talmud . Journal of Economic Theory, Vol. 36, pp. 195-213.
  • Curiel, I., Maschler, M., TIJS, S. (1987). Bankruptcy Games Zeitschrift für Operations Research, Vol. 31, pp. A143-A159.
  • Dutta, B., Ray, D. (1989). A Concept of Egalitarianism under Participation Constraints . Econometrica, Vol. 57, pp. 615-635.
  • Fernandez, F., Hinojosa, M., Puerto, J. (2002b). Core Solutions in Vector-Valued Games . Journal of Optimization Theory and Applications,...
  • Fernandez, F., Hinojosa, M., Puerto, J. (2004). Set Valued TUGames. European Journal of Operational Research, Vol. 159, pp. 181-195
  • Hinojosa, M., Marmol, A., Thomas, L. (2005). Core, Least Core and Nucleolus for Multiple Scenario Cooperative Games . European Journal of...
  • Hinojosa, M., Marmol, A., Sanchez, F. (2010). A Consistent Talmudit Rule for Division Problems with Multiple References . TOP (Revista de...
  • Leng, M., Parlar, M. (2010). Analytic Solution for the Nucleolus of a Three-Player Cooperative Game. Naval Research Logistics. Vol. 57, no...
  • Maschler, M., Peleg, B., Shapley, L.S. (1979). Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts . Mathematics...
  • Maschler, M. (1992). The Bargaining Set, Kernel and Nucleolus. In Handbook of Game Theory with Economics Applications (R.j. Aumann y S. Hart,...
  • Moulin, H. (1987). Equal or Proportional Division of a Surplus, and Other Methods. International Journal of Game Theory, Vol. 16, pp. 161-186. O'Neill,...
  • Owen, G. (1995). Game Theory . Academic Press, San Diego, California.
  • Schmeidler, D. (1969). The Nucleolus of a Characteristic Function Game.
  • Siam Journal of Applied Mathematics, Vol. 16, pp. 1163-1170. Serrano, R. (1995). Strategic Bargaining, Surplus Sharing Problems and the Nucleolus....
  • Thomson, W. (2003). Axiomatic and Game-Theoretic Analysis of Bankruptcy and Taxation Problems: a Survey. Mathematical Social Sciences, Vol....
  • Young, P. (1988). Distributive Justice in Taxation . Journal of Economic Theory, Vol. 44, pp. 321-335.
  • Young, P. (1990). Progressive Taxation and Equal Sacri ce . American Economic Review, Vol. 80, pp. 253-266.