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Core concepts for incomplete market economies

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  • Habis, Helga
  • Herings, P. Jean-Jacques

Abstract

We examine the notion of the core when cooperation takes place in a setting with time and uncertainty. We do so in a two-period general equilibrium setting with incomplete markets. Market incompleteness implies that players cannot make all possible binding commitments regarding their actions at different date-events. We unify various treatments of dynamic core concepts existing in the literature. This results in definitions of the Classical Core, the Segregated Core, the Two-stage Core, the Strong Sequential Core, and the Weak Sequential Core. Except for the Classical Core, all these concepts can be defined by requiring the absence of blocking in period 0 and at any date-event in period 1. The concepts only differ with respect to the notion of blocking in period 0. To evaluate these concepts, we study three market structures in detail: strongly complete markets, incomplete markets in finance economies, and incomplete markets in settings with multiple commodities. Even when markets are strongly complete, the Classical Core is argued not to be an appropriate concept. For the general case of incomplete markets, the Weak Sequential Core is the only concept that does not suffer from major defects.

Suggested Citation

  • Habis, Helga & Herings, P. Jean-Jacques, 2011. "Core concepts for incomplete market economies," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 595-609.
  • Handle: RePEc:eee:mateco:v:47:y:2011:i:4:p:595-609
    DOI: 10.1016/j.jmateco.2011.07.005
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    References listed on IDEAS

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    1. Kajii Atsushi, 1994. "Anonymity and Optimality of Competitive Equilibria when Markets Are Incomplete," Journal of Economic Theory, Elsevier, vol. 64(1), pages 115-129, October.
    2. Leonidas C. Koutsougeras, 1998. "A two-stage core with applications to asset market and differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 563-584.
    3. P. Herings & Herakles Polemarchakis, 2005. "Pareto improving price regulation when the asset market is incomplete," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 135-154, January.
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    6. Rafael Repullo, 1988. "The Core of an Economy with Transaction Costs," Review of Economic Studies, Oxford University Press, vol. 55(3), pages 447-458.
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    Cited by:

    1. Habis, Helga, 2012. "Sztochasztikus csődjátékok - avagy hogyan osszunk szét egy bizonytalan méretű tortát?
      [Stochastic bankruptcy games. How can a cake of uncertain dimensions be divided?]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1299-1310.
    2. Helga Habis & Dávid Csercsik, 2015. "Cooperation with Externalities and Uncertainty," Networks and Spatial Economics, Springer, vol. 15(1), pages 1-16, March.

    More about this item

    Keywords

    Incomplete markets; Dynamic core concepts; Time and uncertainty;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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