IDEAS home Printed from https://ideas.repec.org/p/icr/wpmath/13-2003.html
   My bibliography  Save this paper

Ultramodular functions

Author

Listed:
  • 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.

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
    as

    Download full text from publisher

    File URL: http://www.bemservizi.unito.it/repec/icr/wp2003/Marinacci-Montrucchio13-03.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    6. 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.
    7. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-1349, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Massimo Marinacci & Luigi Montrucchio, 2005. "Ultramodular Functions," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 311-332, May.
    2. Alain Chateauneuf & Bernard Cornet, 2022. "Submodular financial markets with frictions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 721-744, April.
    3. David Encaoua & Michel Moreaux, 1987. "L'analyse théorique des problèmes de tarification et d'allocation des coûts dans les télécommunications," Revue Économique, Programme National Persée, vol. 38(2), pages 375-414.
    4. Castagnoli, Erio & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Insurance premia consistent with the market," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 267-284, October.
    5. Luigi Montrucchio & Patrizia Semeraro, 2008. "Refinement Derivatives and Values of Games," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 97-118, February.
    6. Steve Parsons, 2002. "Laffont and Tirole's Competition in Telecommunications : A View From the US," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 9(3), pages 419-436.
    7. Salvatore Modica & Marco Scarsini, 2003. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 01-2003, ICER - International Centre for Economic Research.
    8. Massimo Marinacci & Luigi Montrucchio, 2003. "Cores and stable sets of finite dimensional games," ICER Working Papers - Applied Mathematics Series 07-2003, ICER - International Centre for Economic Research.
    9. Andrea Attar & Thomas Mariotti & François Salanié, 2021. "Entry-Proofness and Discriminatory Pricing under Adverse Selection," American Economic Review, American Economic Association, vol. 111(8), pages 2623-2659, August.
    10. Loebbing, Jonas, 2018. "An Elementary Theory of Endogenous Technical Change and Wage Inequality," VfS Annual Conference 2018 (Freiburg, Breisgau): Digital Economy 181603, Verein für Socialpolitik / German Economic Association.
    11. Gajdos, Thibault & Maurin, Eric, 2004. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," Journal of Economic Theory, Elsevier, vol. 116(1), pages 93-118, May.
    12. Steven N. Durlauf & Ananth Seshadri, 2003. "Is assortative matching efficient?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 475-493, March.
    13. David Kelsey & Frank Milne, 2006. "Externalities, monopoly and the objective function of the firm," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 565-589, November.
    14. Suman Banerjee & Thomas H. Noe, 2017. "Legal-System Arbitrage and Parent–Subsidiary Capital Structures," Management Science, INFORMS, vol. 63(11), pages 3809-3828, November.
    15. Rabah Amir & Isabel Grilo, 2003. "On strategic complementarity conditions in Bertrand oligopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 227-232, August.
    16. Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003. "How to cut a pizza fairly: Fair division with decreasing marginal evaluations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 457-465, June.
    17. Ghosal, Sayantan & Dalton, Patricio, 2013. "Characterizing Behavioral Decisions with Choice Data," CAGE Online Working Paper Series 107, Competitive Advantage in the Global Economy (CAGE).
    18. Brunner, Christoph & Hu, Audrey & Oechssler, Jörg, 2014. "Premium auctions and risk preferences: An experimental study," Games and Economic Behavior, Elsevier, vol. 87(C), pages 467-484.
    19. Jewitt, Ian & Mukerji, Sujoy, 2017. "Ordering ambiguous acts," Journal of Economic Theory, Elsevier, vol. 171(C), pages 213-267.
    20. Juan-José Ganuza & Jos Jansen, 2013. "Too Much Information Sharing? Welfare Effects of Sharing Acquired Cost Information in Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 61(4), pages 845-876, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:icr:wpmath:13-2003. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Daniele Pennesi (email available below). General contact details of provider: https://edirc.repec.org/data/icerrit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.