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Equilibria in production economies

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Author Info
Charalambos D. Aliprantis (Purdue University)
Monique Florenzano () (CERMSEM)
Rabee Tourky (University of Melbourne)

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Abstract

This paper studies production economies having a locally convex topological vector commodity space ordered by a closed and generating convex come such that the order intervals are topologically bounded. The generally assumed lattice properties on the commodity-price duality are replaced by an assumption of uniform properness of the Riesz-Kantorovich functional associated with a list of continuous linear functionals. On such an economy, our assumptions are quite general. In particular, consumers’ preferences are non-ordered, not necessarily monotone, and we do not assume free-disposal. The equilibrium existence theorem established in this paper is the most general for production economies in the literature.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number b04116.

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Length: 17 pages
Date of creation: Nov 2004
Date of revision:
Handle: RePEc:mse:wpsorb:b04116

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Related research
Keywords: Production economies; equilibrium; Edgeworth equilibrium; properness; Riesz-Kantorovich formula; sup-convolution;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D20 - Microeconomics - - Production and Organizations - - - General
D46 - Microeconomics - - Market Structure and Pricing - - - Value Theory
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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References listed on IDEAS
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. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006. "Production equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 406-421, August. [Downloadable!] (restricted)
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  2. Aliprantis, C. D. & Tourky, R. & Yannelis, N. C., 2000. "The Riesz-Kantorovich formula and general equilibrium theory," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 55-76, August. [Downloadable!] (restricted)
  3. Zame, William R, 1987. "Competitive Equilibria in Production Economies with an Infinite-Dimensional Commodity Space," Econometrica, Econometric Society, vol. 55(5), pages 1075-1108, September. [Downloadable!] (restricted)
  4. Aliprantis, C. D. & Brown, D. J. & Polyrakis, I. A. & Werner, J., 1998. "Portfolio dominance and optimality in infinite security markets," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 347-366, October. [Downloadable!] (restricted)
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  5. Charalambos Aliprantis & Monique Florenzano & Victor-Filipe Martins-Da-Rocha & Rabee Tourky, 2004. "Equilibrium analysis in financial markets with countably many securities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00086810_v1, HAL. [Downloadable!]
    Other versions:
  6. Florenzano Monique, 1988. "Edgeworth equilibria, fuzzy core and equilibria of a production economy without ordered preferences," CEPREMAP Working Papers (Couverture Orange) 8822, CEPREMAP.
  7. Allouch, N. & Florenzano, M., 2000. "Edgeworth and Walras Equilibria of an Arbitrage-Free Exchange Economy," Papiers d'Economie Mathématique et Applications 2000.119, Université Panthéon-Sorbonne (Paris 1).
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  8. Tourky, Rabee, 1998. "A New Approach to the Limit Theorem on the Core of an Economy in Vector Lattices," Journal of Economic Theory, Elsevier, vol. 78(2), pages 321-328, February. [Downloadable!] (restricted)
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  9. Mas-Colell, Andreu & Richard, Scott F., 1991. "A new approach to the existence of equilibria in vector lattices," Journal of Economic Theory, Elsevier, vol. 53(1), pages 1-11, February. [Downloadable!] (restricted)
  10. Monique Florenzano & Valeri Marakulin, 2000. "Production Equilibria in Vector Lattices," Econometric Society World Congress 2000 Contributed Papers 1396, Econometric Society. [Downloadable!]
  11. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne. [Downloadable!]
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  12. Aliprantis, C. D. & Brown, D. J. & Werner, J., 2000. "Minimum-cost portfolio insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1703-1719, October. [Downloadable!] (restricted)
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  13. 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!]
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  14. Aliprantis, Charalambos D. & Monteiro, Paulo K. & Tourky, Rabee, 2004. "Non-marketed options, non-existence of equilibria, and non-linear prices," Journal of Economic Theory, Elsevier, vol. 114(2), pages 345-357, February. [Downloadable!] (restricted)
  15. Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-53, September. [Downloadable!] (restricted)
  16. Richard, Scott F., 1989. "A new approach to production equilibria in vector lattices," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 41-56, February. [Downloadable!] (restricted)
  17. Aliprantis, Charalambos D. & Brown, Donald J. & Burkinshaw, Owen, 1987. "Edgeworth equilibria in production economies," Journal of Economic Theory, Elsevier, vol. 43(2), pages 252-291, December. [Downloadable!] (restricted)
  18. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2005. "Linear and non-linear price decentralization," Journal of Economic Theory, Elsevier, vol. 121(1), pages 51-74, March. [Downloadable!] (restricted)
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  19. Podczeck, Konrad, 1996. "Equilibria in vector lattices without ordered preferences or uniform properness," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 465-485. [Downloadable!] (restricted)
  20. Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September. [Downloadable!] (restricted)
    Other versions:
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