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Cone Conditions in General Equilibrium Theory

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  • Aliprantis, Charalambos D.
  • Tourky, Rabee
  • Yannelis, Nicholas C.
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    File URL: http://www.sciencedirect.com/science/article/pii/S0022-0531(99)92622-4
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    Article provided by Elsevier in its journal Journal of Economic Theory.

    Volume (Year): 92 (2000)
    Issue (Month): 1 (May)
    Pages: 96-121

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    Handle: RePEc:eee:jetheo:v:92:y:2000:i:1:p:96-121
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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    1. Aliprantis, Charalambos D. & Brown, D. J., 1982. "Equilibrium in Markets with a Riesz Space of Commodities," Working Papers 427, California Institute of Technology, Division of the Humanities and Social Sciences.
    2. Richard, Scott F. & Zame, William R., 1986. "Proper preferences and quasi-concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 231-247, June.
    3. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
    4. Aliprantis, C. D. & Burkinshaw, O., 1988. "The fundamental theorems of welfare economics without proper preferences," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 41-54, February.
    5. Podczeck, Konrad, 1996. "Equilibria in vector lattices without ordered preferences or uniform properness," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 465-485.
    6. Florenzano Monique, 1982. "On the existence of equilibria in economies with an infinite dimensional commodity space," CEPREMAP Working Papers (Couverture Orange) 8217, CEPREMAP.
    7. Cornet, Bernard, 1988. "General equilibrium theory and increasing returns : Presentation," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 103-118, April.
    8. Araujo, A. & Monteiro, P. K., 1989. "Equilibrium without uniform conditions," Journal of Economic Theory, Elsevier, vol. 48(2), pages 416-427, August.
    9. Back, Kerry, 1988. "Structure of consumption sets and existence of equilibria in infinite-dimensional spaces," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 89-99, February.
    10. Aliprantis, Charalambos D & Brown, Donald J & Burkinshaw, Owen, 1987. "Edgeworth Equilibria," Econometrica, Econometric Society, vol. 55(5), pages 1109-37, September.
    11. Peleg, Bezalel & Yaari, Menahem E., 1970. "Efficiency prices in an infinite-dimensional space," Journal of Economic Theory, Elsevier, vol. 2(1), pages 41-85, March.
    12. 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.
    13. Yannelis, Nicholas C. & Zame, William R., 1986. "Equilibria in Banach lattices without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 85-110, April.
    14. Florenzano, Monique & Deghdak, Messaoud, 1997. "Decentralizing edgeworth equilibria in economies with many commodities," CEPREMAP Working Papers (Couverture Orange) 9721, CEPREMAP.
    15. Araujo A. & Monteiro P. K., 1994. "The General Existence of Extended Price Equilibria with Infinitely Many Commodities," Journal of Economic Theory, Elsevier, vol. 63(2), pages 408-416, August.
    16. Aliprantis, Charalombos & Burkinshaw, Owen, 1991. "When Is the Core Equivalence Theorem Valid?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 169-82, April.
    17. Chichilnisky, Graciela, 1993. "The Cone Condition, Properness, and Extremely Desirable Commodities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 177-82, January.
    18. Rabee Tourky, 1997. "A New Approach to the Lmit Theorem on the Core of an Economy in Vector Lattices," Working Papers 1997.03, School of Economics, La Trobe University.
    19. Rabee Tourky, 1999. "The limit theorem on the core of a production economy in vector lattices with unordered preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 219-226.
    20. Majumdar, Mukul, 1972. "Some general theorems on efficiency prices with an infinite-dimensional commodity space," Journal of Economic Theory, Elsevier, vol. 5(1), pages 1-13, August.
    21. Rustichini, Aldo & Yannelis, Nicholas C., 1991. "Edgeworth's conjecture in economies with a continuum of agents and commodities," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 307-326.
    22. Aliprantis, Charalambos D., 1997. "Separable utility functions," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 415-444, November.
    23. R. Radner, 1967. "Efficiency Prices for Infinite Horizon Production Programmes," Review of Economic Studies, Oxford University Press, vol. 34(1), pages 51-66.
    24. Aliprantis, Charalambos D. & Border, Kim C. & Burkinshaw, Owen, 1997. "New Proof Of The Existence Of Equilibrium In A Single-Sector Growth Model," Macroeconomic Dynamics, Cambridge University Press, vol. 1(04), pages 669-679, December.
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    Cited by:

    1. Charalambos D. Apliprantis & Monique Florenzano & Rabee Tourky, 2003. "Linear And Non-Linear Price Decentralization," Department of Economics - Working Papers Series 867, The University of Melbourne.
    2. Aliprantis, Charalambos D. & Tourky, Rabee & Yannelis, Nicholas C., 2001. "A Theory of Value with Non-linear Prices: Equilibrium Analysis beyond Vector Lattices," Journal of Economic Theory, Elsevier, vol. 100(1), pages 22-72, September.
    3. Charalambos Aliprantis & Rabee Tourky, 2009. "Equilibria in incomplete assets economies with infinite dimensional spot markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 221-262, February.
    4. V. Filipe Martins-da-Rocha & Frank Riedel, 2008. "On Equilibrium Prices in Continuous Time," Papers 0802.3585, arXiv.org.
    5. Anuj Bhowmik & Maria Gabriella Graziano, 2014. "On Vind's Theorem for an Economy with Atoms and Infinitely Many Commodities," CSEF Working Papers 364, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    6. 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.
    7. repec:hal:journl:halshs-00086101 is not listed on IDEAS
    8. Podczeck, Konrad & Yannelis, Nicholas C., 2008. "Equilibrium theory with asymmetric information and with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 141(1), pages 152-183, July.
    9. De Simone, Anna & Graziano, Maria Gabriella, 2003. "Cone conditions in oligopolistic market models," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 53-73, February.
    10. V. Martins-da-Rocha & Frank Riedel, 2006. "Stochastic equilibria for economies under uncertainty with intertemporal substitution," Annals of Finance, Springer, vol. 2(1), pages 101-122, January.
    11. Basile, Achille & Donnini, Chiara & Graziano, Maria Gabriella, 2009. "Core and equilibria in coalitional asymmetric information economies," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 293-307, March.

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