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Linear and non-linear price decentralization

Author

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  • Charalambos D. Aliprantis

    (Department of Economics - Purdue University [West Lafayette])

  • Monique Florenzano

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Rabee Tourky

    (Department of Economics - Purdue University [West Lafayette])

Abstract

Compendious and thorough solutions to the existence of a linear price equilibrium problem, the second welfare theorem, and the limit theorem on the core are provided for exchange economies whose consomption sets are the positive cone of arbitrary ordered Fréchet-dispensing entirely with the assumption that the vector ordering of the commodity space is a lattice. The motivation comes from economic applications showing the need to bring within the scope of equilibrium theory vector orderings that are not lattices, which arise in the typical model of portfolio trading with missing options. The assumptions are on the primitives of the model. They are bounds on the marginals of non-linear prives and for omega-proper economies they are both sufficient and necessary.

Suggested Citation

  • Charalambos D. Aliprantis & Monique Florenzano & Rabee Tourky, 2005. "Linear and non-linear price decentralization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00086101, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00086101
    DOI: 10.1016/j.jet.2004.04.007
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00086101
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    Cited by:

    1. Martins-da-Rocha, V. Filipe & Riedel, Frank, 2010. "On equilibrium prices in continuous time," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1086-1112, May.
    2. Patrick Bei{ss}ner, 2012. "Coherent Price Systems and Uncertainty-Neutral Valuation," Papers 1202.6632, arXiv.org.
    3. Beißner, Patrick, 2013. "Coherent Price Systems and Uncertainty-Neutral Valuation," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80010, Verein für Socialpolitik / German Economic Association.
    4. Achille Basile & Maria Gabriella Graziano, 2012. "Core Equivalences for Equilibria Supported by Non-linear Prices," CSEF Working Papers 309, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    5. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 295-320, February.
    6. Patrick Beissner & Frank Riedel, 2019. "Equilibria Under Knightian Price Uncertainty," Econometrica, Econometric Society, vol. 87(1), pages 37-64, January.
    7. Roko Aliprantis & Monique Florenzano & Daniella Puzzello & Rabee Tourky, 2006. "The wedge of arbitrage free prices: anything goes," Cahiers de la Maison des Sciences Economiques b06070, Université Panthéon-Sorbonne (Paris 1).
    8. Bogdan Klishchuk, 2018. "Multiple markets: new perspective on nonlinear pricing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 525-545, August.
    9. Monique Florenzano, 2007. "General equilibrium," Post-Print halshs-00250167, HAL.
    10. Zdzisław Naniewicz, 2007. "Pseudomonotonicity and Economic Equilibrium Problem in Reflexive Banach Space," Mathematics of Operations Research, INFORMS, vol. 32(2), pages 436-466, May.
    11. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006. "Production equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 406-421, August.
    12. 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).
    13. repec:dau:papers:123456789/2346 is not listed on IDEAS
    14. 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.
    15. Klishchuk, Bogdan, 2015. "New conditions for the existence of Radner equilibrium with infinitely many states," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 67-73.

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