IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-14-00172.html
   My bibliography  Save this article

Representation of Epstein-Marinacci derivatives of absolutely continuous TU games

Author

Listed:
  • Francesca Centrone

    (Dipartimento di Studi per l''Economia e l''Impresa, Università del Piemonte Orientale)

Abstract

We show that, for some classes of transferable utility (TU) games widely used in Game Theory and Mathematical Economics, Epstein and Marinacci derivatives have a natural representation in terms of a "generalized" Radon-Nikodym derivative. This has a straightforward interpretation in a General Equilibrium context, where marginal contributions can be seen as a fair way to reward each group of agents.

Suggested Citation

  • Francesca Centrone, 2016. "Representation of Epstein-Marinacci derivatives of absolutely continuous TU games," Economics Bulletin, AccessEcon, vol. 36(2), pages 1149-1159.
    • Handle: RePEc:ebl:ecbull:eb-14-00172
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2016/Volume36/EB-16-V36-I2-P112.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Itzhak Gilboa, 2004. "Uncertainty in Economic Theory," Post-Print hal-00756317, HAL.
    2. Hart, Sergiu & Neyman, Abraham, 1988. "Values of non-atomic vector measure games : Are they linear combinations of the measures?," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 31-40, February.
    3. Luigi Montrucchio & Patrizia Semeraro, 2006. "Refinement Derivatives and Values of Games," Carlo Alberto Notebooks 9, Collegio Carlo Alberto.
    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. Massimiliano Amarante & Luigi Montrucchio, 2010. "The bargaining set of a large game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 313-349, June.
    2. M. Amarante & F. Maccheroni & M. Marinacci & L. Montrucchio, 2006. "Cores of non-atomic market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 399-424, October.
    3. Massimiliano Amarante & Mario Ghossoub & Edmund Phelps, 2012. "Contracting for Innovation under Knightian Uncertainty," Cahiers de recherche 18-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    4. Amarante, Massimiliano & Ghossoub, Mario & Phelps, Edmund, 2015. "Ambiguity on the insurer’s side: The demand for insurance," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 61-78.
    5. Rebille, Yann, 2007. "Patience in some non-additive models," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 749-763, August.
    6. Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Coping with imprecise information: a decision theoretic approach," Cahiers de la Maison des Sciences Economiques v04056, Université Panthéon-Sorbonne (Paris 1), revised May 2004.
    7. Feng, Chunrong & Wu, Panyu & Zhao, Huaizhong, 2020. "Ergodicity of invariant capacities," Stochastic Processes and their Applications, Elsevier, vol. 130(8), pages 5037-5059.
    8. Omer Edhan, 2012. "Payoffs in Nondifferentiable Perfectly Competitive TU Economies," Discussion Paper Series dp629, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    9. Ghossoub, Mario, 2010. "Supplement to "Belief heterogeneity in the Arrow-Borch-Raviv insurance model"," MPRA Paper 37717, University Library of Munich, Germany, revised 22 Mar 2012.
    10. Xia Han & Bin Wang & Ruodu Wang & Qinyu Wu, 2021. "Risk Concentration and the Mean-Expected Shortfall Criterion," Papers 2108.05066, arXiv.org, revised Apr 2022.
    11. Stefan Trautmann & Ferdinand Vieider & Peter Wakker, 2008. "Causes of ambiguity aversion: Known versus unknown preferences," Journal of Risk and Uncertainty, Springer, vol. 36(3), pages 225-243, June.
    12. Massimiliano Amarante, 2016. "A representation of risk measures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(1), pages 95-103, April.
    13. Olivier L’Haridon & Lætitia Placido, 2010. "Betting on Machina’s reflection example: an experiment on ambiguity," Theory and Decision, Springer, vol. 69(3), pages 375-393, September.
    14. Lo, Kin Chung, 2009. "Correlated Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 144(2), pages 722-743, March.
    15. Ken Binmore, 2017. "On the Foundations of Decision Theory," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 34(4), pages 259-273, December.
    16. Peter Klibanoff & Sujoy Mukerji & Kyoungwon Seo, 2014. "Perceived Ambiguity and Relevant Measures," Econometrica, Econometric Society, vol. 82(5), pages 1945-1978, September.
    17. Epstein, Larry G. & Marinacci, Massimo, 2001. "The Core of Large Differentiable TU Games," Journal of Economic Theory, Elsevier, vol. 100(2), pages 235-273, October.
    18. Massimiliano Amarante & Mario Ghossoub, 2016. "Optimal Insurance for a Minimal Expected Retention: The Case of an Ambiguity-Seeking Insurer," Risks, MDPI, vol. 4(1), pages 1-27, March.
    19. Eran Hanany & Peter Klibanoff & Sujoy Mukerji, 2020. "Incomplete Information Games with Ambiguity Averse Players," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 135-187, May.
    20. Jörg Oechssler & Alex Roomets, 2021. "Savage vs. Anscombe-Aumann: an experimental investigation of ambiguity frameworks," Theory and Decision, Springer, vol. 90(3), pages 405-416, May.

    More about this item

    Keywords

    Non-additive set functions; Shapley value; non-atomic games; derivatives of transferable utility (TU) games; Radon-Nikodym derivative; marginal contributions; production economy; General Equilibrium.;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C0 - Mathematical and Quantitative Methods - - General

    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:ebl:ecbull:eb-14-00172. 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: John P. Conley (email available below). General contact details of provider: .

    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.