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Ultramodular functions


  • Massimo Marinacci


  • Luigi Montrucchio



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.

Suggested Citation

  • Massimo Marinacci & Luigi Montrucchio, 2003. "Ultramodular functions," ICER Working Papers - Applied Mathematics Series 13-2003, ICER - International Centre for Economic Research.
  • Handle: RePEc:icr:wpmath:13-2003

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    References listed on IDEAS

    1. 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.
    2. Marinacci, Massimo & Montrucchio, Luigi, 2003. "Subcalculus for set functions and cores of TU games," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 1-25, February.
    3. Sharkey, William W. & Telser, Lester G., 1978. "Supportable cost functions for the multiproduct firm," Journal of Economic Theory, Elsevier, vol. 18(1), pages 23-37, June.
    4. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    5. 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.
    6. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-1349, November.
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