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Bargaining set and anonymous core without the monotonicity assumption

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  • Hara, Chiaki

Abstract

We give an example of an atomless exchange economy in which consumers'preference relations are not monotone and in which the bargaining set of Mas-Colell (1989) consists of all allocations satisfying resource constraints, although the set of all Walrasian equilibrium allocations, the core, and the anonymous core of Hara (2002) are all empty. We also give an equivalence theorem for the anonymous core when the preference relations may not be monotone.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 41 (2005)
Issue (Month): 4-5 (August)
Pages: 545-556

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Handle: RePEc:eee:mateco:v:41:y:2005:i:4-5:p:545-556

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Web page: http://www.elsevier.com/locate/jmateco

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  1. Chiaki Hara, 2005. "Existence of Equilibria in Economies with Bads," Econometrica, Econometric Society, vol. 73(2), pages 647-658, 03.
  2. Schmeidler, David, 1969. "Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences," Econometrica, Econometric Society, vol. 37(4), pages 578-85, October.
  3. Manelli, Alejandro M, 1991. "Monotonic Preferences and Core Equivalence," Econometrica, Econometric Society, vol. 59(1), pages 123-38, January.
  4. Robert M. Anderson & Walter Tockel & Lin Zhou, 1994. "Nonconvergence of the Mas-Colell and Zhou Bargaining Sets," Game Theory and Information 9403001, EconWPA.
  5. Manelli, Alejandro M., 1991. "Core convergence without monotone preferences and free disposal," Journal of Economic Theory, Elsevier, vol. 55(2), pages 400-415, December.
  6. Gerard Debreu, 1956. "Market Equilibrium," Cowles Foundation Discussion Papers 10, Cowles Foundation for Research in Economics, Yale University.
  7. Hildenbrand, Werner, 1970. "Existence of Equilibria for Economies with Production and a Measure Space of Consumers," Econometrica, Econometric Society, vol. 38(5), pages 608-23, September.
  8. Broome, John, 1972. "Approximate equilibrium in economies with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 5(2), pages 224-249, October.
  9. Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 263-82, April.
  10. Anderson, Robert M. & Trockel, Walter & Zhou, Lin, 1994. "Nonconvergence of the Mas-Colell and Zhou Bargaining Sets," Department of Economics, Working Paper Series qt0fc8c73x, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  11. Hara, Chiaki, 2002. "The anonymous core of an exchange economy," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 91-116, September.
  12. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
  13. Husseinov, Farhad, 1999. "Boundary Behavior of Excess Demand and Existence of Equilibrium," Journal of Economic Theory, Elsevier, vol. 87(2), pages 434-449, August.
  14. Neuefeind, Wilhelm, 1980. "Notes on Existence of Equilibrium Proofs and the Boundary Behavior of Supply," Econometrica, Econometric Society, vol. 48(7), pages 1831-37, November.
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