División proporcional con múltiples referencias. Aplicación al caso de agregación y actualización de

  1. López Sánchez, A.D 1
  2. Hinojosa Ramos, M.A 1
  3. Contreras Rubio, I 1
  4. Mármol Conde, A.M. 2
  1. 1 Universidad Pablo de Olavide
    info

    Universidad Pablo de Olavide

    Sevilla, España

    ROR https://ror.org/02z749649

  2. 2 Universidad de Sevilla
    info

    Universidad de Sevilla

    Sevilla, España

    ROR https://ror.org/03yxnpp24

Aldizkaria:
Anales de ASEPUMA

ISSN: 2171-892X

Argitalpen urtea: 2010

Zenbakia: 18

Mota: Artikulua

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Beste argitalpen batzuk: Anales de ASEPUMA

Laburpena

In this paper, we consider an extension of classic division problems in which the relevant references of each agent are represented by a vector, that is, division problems with multiple references. We define a non-manipulable division rule satisfying some desirable properties in the class of multi-issue allocation problems. As an application we analyze the probability aggregation problem and the probability updating problem.

Erreferentzia bibliografikoak

  • Bergantiños G., Lorenzo L., Lorenzo-Freire S. (2010). A characterization of the proportoinal rule in multi-issue allocation situations. Operations Research Letters, 38 pp. 17-19.
  • Bergantiños G., Lorenzo L., Lorenzo-Freire S. (2008). New characterizations of the constrained equal awards rule in multi-issue allocation situations. Mimeo, University of Vigo.
  • Branzei R., Dimitrov D., Pickl S. and Tijs S. (2004). How to cope with división problems under interval uncertainty claims?. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 pp. 191-200.
  • Calleja P., Borm P. and Hendrickx R. (2005). Multi-issue allocation situations. European Journal of Operational Research 164 pp. 730-747.
  • Gilboa I. and Schmeidler D. (1993) Updating ambiguous beliefs. J. Econ. Theory 59 pp. 33-49.
  • González-Alcón C., Borm P. and Hendrickx R. (2007). A composite run to the bank rule for multi-issue allocation situations. Mathematical Methods of Operations Research 65 pp. 339-352.
  • Ju B-G., Miyagawa E. and Sakai T. (2007). Non-manipulable division rules in claim problems and generalizations. Journal of Economic Theory 132 pp. 1-26.
  • Lorenzo-Freire S., Casas-Méndez B. and Hendrickx R. (2009). The two-stage constrained equal awards and losses rules for multi-issue allocation situations. Top.
  • Majumdar D. An axiomatic charaterization of Bayes´ rule. Math. Soc. Sci. 47 (2004) 261-273.
  • McConway; K.J. (1981). Marginalization and Linear Opinion Pools. J. Amer. Statis. Assoc. 76 pp. 410-414.
  • Moreno-Ternero J. (2009). The proportional rule for multi-issue banckrupty problems. Economics Bulletin 29 pp. 483-490.
  • Pulido M., Sánchez-Soriano J. and Llorca N. (2002). Game theory techniques for university management: an extended bankruptcy model. Annals of Operations Research 109 pp. 129-142.
  • Pulido M., Borm P., Hendrickx R., Llorca N. and Sánchez-Soriano J. (2008). Compromise solutions for bankruptcy situations with references. Annals of Operations Research 158 pp. 133-141.
  • Rubinstein A. and Fishburn P.C. (1986). Algebraic aggregation theory. J. Econ. Theory 38 pp. 63-77.
  • Thomson W. (2003) How to divide when there isn´t enough: from the Talmud to modern game theory. University of Rochester.
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