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Cores of non-atomic market games

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Author Info
Massimiliano Amarante () (Department of Economics, Columbia University)
F. Maccheroni () (Universita Bocconi - Istituto di Metodi Quantitativi)
M. Marinacci () (University of Turin - Department of Statistics and Applied Mathematics)
L. Montrucchio () (University of Turin)

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Abstract

We study the cores of non-atomic market games, a class of transferable utility cooperative games introduced by Aumann and Shapley [2], and, more in general, of those games that admit a na-continuous and concave extension to the set of ideal coalitions, studied by Einy, Moreno, and Shitovitz [12]. We show that the core of such games is norm compact and we provide some representation results. We also give a Multiple Priors interpretation of some of our results.We study the cores of non-atomic market games, a class of transferable utility cooperative.

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Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number 0506-10.

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Length: 32 pages
Date of creation: 2005
Date of revision:
Handle: RePEc:clu:wpaper:0506-10

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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.:
  1. Alain Chateauneuf & Fabio Maccheroni & Massimo Marinacci & Jean-Marc Tallon, 2005. "Monotone continuous multiple priors," Economic Theory, Springer, vol. 26(4), pages 973-982, November. [Downloadable!] (restricted)
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  2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  3. Neyman, Abraham, 2002. "Values of games with infinitely many players," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 56, pages 2121-2167 Elsevier. [Downloadable!] (restricted)
  4. Massimo Marinacci & Luigi Montrucchio, 2005. "Stable cores of large games," International Journal of Game Theory, Springer, vol. 33(2), pages 189-213, 06. [Downloadable!] (restricted)
  5. Diego Moreno & Benyamin Shitovitz & Ezra Einy, 1999. "The core of a class of non-atomic games which arise in economic applications," International Journal of Game Theory, Springer, vol. 28(1), pages 1-14. [Downloadable!] (restricted)
  6. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
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  8. Luigi Montrucchio & Marco Scarsini, 2005. "Large Newsvendor Games," Carlo Alberto Notebooks 15, Collegio Carlo Alberto. [Downloadable!]
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(explanations, 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.)

  1. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto. [Downloadable!]
  2. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto. [Downloadable!]
  3. Daron Acemoglu & Davide Ticchi & Andrea Vindigni, 2008. "A Theory of Military Dictatorships," Carlo Alberto Notebooks 74, Collegio Carlo Alberto. [Downloadable!]
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  4. Esteban Jaimovich, 2007. "Sectoral Differentiation, Allocation of Talent, and Financial Development," Carlo Alberto Notebooks 59, Collegio Carlo Alberto, revised 2009. [Downloadable!]
  5. Elisa Luciano & Elena Vigna, 2006. "Non mean reverting affne processes for stochastic mortality," Carlo Alberto Notebooks 30, Collegio Carlo Alberto. [Downloadable!]
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  6. Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2007. "Learning and Disagreement in an Uncertain World," Carlo Alberto Notebooks 48, Collegio Carlo Alberto. [Downloadable!]
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  7. Ales Cerný & Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2008. "On the Computation of Optimal Monotone Mean-Variance Portfolios via Truncated Quadratic Utility," Carlo Alberto Notebooks 79, Collegio Carlo Alberto. [Downloadable!]
  8. Matteo Triossi & Luis Corchón, 2006. "Implementation with State Dependent Feasible Sets and Preferences: A Renegotiation Approach," Carlo Alberto Notebooks 24, Collegio Carlo Alberto. [Downloadable!]
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  9. Matteo Triossi, 2006. "Application Costs in Sequential Admission Mechanisms," Carlo Alberto Notebooks 23, Collegio Carlo Alberto. [Downloadable!]
  10. Itzhak Gilboa & Fabio Maccheroni & Massimo Marinacci & David Schmeidler, 2008. "Objective and Subjective Rationality in a Multiple Prior Model," Carlo Alberto Notebooks 73, Collegio Carlo Alberto, revised 2008. [Downloadable!]
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