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Edgeworth Equilibria

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Author Info
Donald J. Brown () (Cowles Foundation, Yale University)
Charalambos Aliprantis
Owen Burkinshaw

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Abstract

The paper studies pure exchange economies with infinite dimensional commodity spaces in the setting of Riesz dual systems. Several new concepts of equilibrium are introduced. An allocation (x_{1},...,x_{m}) is said to be a) an Edgeworth equilibrium whenever it belongs to the core of every n-fold replication of the economy; and b) an epsilon > 0 there exists some price p not equal to 0 with p omega =1 (where omega = Sigma omega_{i} is the total endowment) and with x >=_{i} x_{i} implying p times x > p times omega_{i} - epsilon. The major results of the paper are the following: Theorem I: Edgeworth equilibria exist. Theorem II: An allocation is an Edgeworth equilibrium if and only if it is an epsilon-Walrasian equilibrium. Theorem III: If preferences are proper, then every Edgeworth equilibrium is a quasi-equilibrium.

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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 756R.

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Length: 39 pages
Date of creation: Sep 1985
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Publication status: Published in Econometrica (September 1987), 55(5): 1109-1137
Handle: RePEc:cwl:cwldpp:756r

Note: CFP 691.
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Monique Florenzano & Valeri Marakulin, 2000. "Production Equilibria in Vector Lattices," Econometric Society World Congress 2000 Contributed Papers 1396, Econometric Society. [Downloadable!]
  2. Allouch,Nizar & Predtetchinski,Arkadi, 2005. "On the non-emptiness of the fuzzy core," Research Memoranda 002, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  3. Kevin X.D. Huang & Jan Werner, 2002. "Implementing Arrow-Debreu equilibria by trading infinitely-lived securities," Research Working Paper RWP 02-08, Federal Reserve Bank of Kansas City. [Downloadable!]
    Other versions:
  4. Charalambos Aliprantis & Rabee Tourky, 2009. "Equilibria in incomplete assets economies with infinite dimensional spot markets," Economic Theory, Springer, vol. 38(2), pages 221-262, February. [Downloadable!] (restricted)
  5. Gerard van der Laan & Cees Withagen, 2000. "General Equilibrium in Economies with Infinite Dimensional Commodity Spaces: A Truncation Approach," Tinbergen Institute Discussion Papers 00-023/1, Tinbergen Institute. [Downloadable!]
  6. Charalambos Aliprantis & Monique Florenzano & Rabee Tourky, 2004. "General equilibrium analysis in ordered topological vector spaces," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00086791_v1, HAL. [Downloadable!]
    Other versions:
  7. Martins-da-Rocha, V. F. & Riedel, Frank, 2008. "On Equilibrium Prices in Continuous Time," Economics Working Papers (Ensaios Economicos da EPGE) 672, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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  8. William R. Zame, 1992. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 673, UCLA Department of Economics. [Downloadable!]
    Other versions:
  9. Joseph M. Ostroy & William R. Zame, 1991. "Non-Atomic Economies and the Boundaries of Perfect Competition," UCLA Economics Working Papers 502R, UCLA Department of Economics. [Downloadable!]
    Other versions:
  10. Charalambos D. Aliprantis & Monique Florenzano & Rabee Tourky, 2004. "Equilibria in production economies," Cahiers de la Maison des Sciences Economiques b04116, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  11. Aliprantis, D. Charalambos & Burkinshaw, Owen., 1989. "An Overlapping Generations Model Core Equivalence Theorem," Working Papers 706, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  12. William R. Zame & Y.A. Abramovich & C.D. Aliprantis, 1994. "A Representation Theorem for Riesz Spaces and its Applications to Economics," UCLA Economics Working Papers 725, UCLA Department of Economics. [Downloadable!]
    Other versions:
  13. Xiong, Siyang & Zheng, Charles Zhoucheng, 2006. "Core Equivalence Theorem with Production," Staff General Research Papers 12697, Iowa State University, Department of Economics.
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