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Ultramodular functions

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Author Info

  • Massimo Marinacci

    ()

  • Luigi Montrucchio

    ()

Abstract

We study the properties of ultramodular functions, a class of functions that generalizes scalar convexity and that naturally arises in some economic and statistical applications.

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File URL: http://www.icer.it/docs/wp2003/Marinacci-Montrucchio13-03.pdf
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Bibliographic Info

Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 13-2003.

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Length: 44 pages
Date of creation: Jun 2003
Date of revision:
Handle: RePEc:icr:wpmath:13-2003

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References

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  1. Massimo Marinacci & Luigi Montrucchio, 2001. "Subcalculus for set functions and cores of TU games," ICER Working Papers - Applied Mathematics Series 09-2001, ICER - International Centre for Economic Research.
  2. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  3. Marinacci, Massimo & Montrucchio, Luigi, 2004. "A characterization of the core of convex games through Gateaux derivatives," Journal of Economic Theory, Elsevier, vol. 116(2), pages 229-248, June.
  4. W.W. Sharkey, 1982. "Suggestions for a Game-Theoretic Approach to Public Utility Pricing and Cost Allocation," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 57-68, Spring.
  5. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-49, November.
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Citations

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Cited by:
  1. Thibault Gajdos & Eric Maurin, 2004. "Unequal Uncertainties and Uncertain Inequalities: An Axiomatic Approach," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00085940, HAL.
  2. Xie, Hongmei & Hu, Taizhong, 2010. "Some new results on multivariate dispersive ordering of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 964-970, April.
  3. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research.
  4. Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," ICER Working Papers - Applied Mathematics Series 18-2003, ICER - International Centre for Economic Research, revised May 2003.
  5. Müller, Alfred & Scarsini, Marco, 2005. "Archimedean copulæ and positive dependence," Journal of Multivariate Analysis, Elsevier, vol. 93(2), pages 434-445, April.
  6. Massimo Marinacci & Luigi Montrucchio, 2002. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 18-2002, ICER - International Centre for Economic Research.
  7. Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA 2011-36, Groupe de Recherche en Economie Théorique et Appliquée.
  8. Massimo Marinacci & Luigi Montrucchio, 2006. "On Concavity and Supermodularity," Carlo Alberto Notebooks 5, Collegio Carlo Alberto.
  9. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research.
  10. Carlier, G., 2005. "Representation of the core of convex measure games via Kantorovich potentials," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 898-912, November.
  11. Belzunce, Félix & Mercader, José-Angel & Ruiz, José-María & Spizzichino, Fabio, 2009. "Stochastic comparisons of multivariate mixture models," Journal of Multivariate Analysis, Elsevier, vol. 100(8), pages 1657-1669, September.
  12. Massimo Marinacci & Luigi Montrucchio, 2005. "On convexity and supermodularity," ICER Working Papers - Applied Mathematics Series 3-2005, ICER - International Centre for Economic Research.
  13. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research.
  14. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.
  15. Arlotto, Alessandro & Scarsini, Marco, 2009. "Hessian orders and multinormal distributions," Journal of Multivariate Analysis, Elsevier, vol. 100(10), pages 2324-2330, November.
  16. Laureano Escudero & Eva-María Ortega, 2009. "How retention levels influence the variability of the total risk under reinsurance," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 17(1), pages 139-157, July.
  17. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003.

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