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Subcalculus for set functions and cores of TU games

  • Marinacci, Massimo
  • Montrucchio, Luigi

This paper introduces a subcalculus for general set functions and uses this framework to study the core of TU games. After stating a linearity theorem, we establish several theorems that characterize mea- sure games having finite-dimensional cores. This is a very tractable class of games relevant in many economic applications. Finally, we show that exact games with Þnite dimensional cores are generalized linear production games.

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File URL: http://www.sciencedirect.com/science/article/B6VBY-47CH7N1-1/2/23affa96fab493a3987586923fb1eba2
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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 39 (2003)
Issue (Month): 1-2 (February)
Pages: 1-25

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Handle: RePEc:eee:mateco:v:39:y:2003:i:1-2:p:1-25
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. 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.
  2. Mongin, P., . "Consistent Bayesian aggregation," CORE Discussion Papers RP -1176, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. 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.
  4. 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.
  5. 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.
  6. Epstein, Larry G, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Wiley Blackwell, vol. 66(3), pages 579-608, July.
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