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Equilibrium theory with asymmetric information and with infinitely many commodities

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  • Podczeck, Konrad
  • Yannelis, Nicholas C.

Abstract

The traditional deterministic general equilibrium theory with infinitely many commodities cannot cover economies with private information constraints on the consumption sets. We bring the level of asymmetric information equilibrium theory at par with that of the deterministic one. In particular, we establish results on equilibrium existence for exchange economies with asymmetric (differential) information and with an infinite dimensional commodity space. Our new equilibrium existence theorems include, as a special case, classical results, e.g. Bewley [Existence of equilibria in economies with infinitely many commodities, J. Econ. Theory 4 (1972) 514-540] or Mas-Colell [The price equilibrium existence problem in topological vector lattices, Econometrica 54 (1986) 1039-1053].

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jetheo:v:141:y:2008:i:1:p:152-183
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    References listed on IDEAS

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    1. Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 233-245, December.
    2. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
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    4. Koutsougeras, Leonidas C & Yannelis, Nicholas C, 1993. "Incentive Compatibility and Information Superiority of the Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 195-216, April.
    5. Dionysius Glycopantis & Allan Muir & Nicholas C. Yannelis, 2003. "On extensive form implementation of contracts in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 495-526, March.
    6. Guangsug Hahn & Nicholas C. Yannelis, 1997. "Efficiency and incentive compatibility in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 383-411.
    7. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    8. Florenzano, Monique, 1983. "On the existence of equilibria in economies with an infinite dimensional commodity space," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 207-219, December.
    9. Araujo, A. & Monteiro, P. K., 1989. "Equilibrium without uniform conditions," Journal of Economic Theory, Elsevier, vol. 48(2), pages 416-427, August.
    10. Podczeck, Konrad, 1996. "Equilibria in vector lattices without ordered preferences or uniform properness," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 465-485.
    11. Krasa, Stefan & Yannelis, Nicholas C, 1994. "The Value Allocation of an Economy with Differential Information," Econometrica, Econometric Society, vol. 62(4), pages 881-900, July.
    12. Aliprantis, Charalambos D. & Tourky, Rabee & Yannelis, Nicholas C., 2000. "Cone Conditions in General Equilibrium Theory," Journal of Economic Theory, Elsevier, vol. 92(1), pages 96-121, May.
    13. 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.
    14. 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.
    15. Donald A. Walker (ed.), 2000. "Equilibrium," Books, Edward Elgar Publishing, volume 0, number 1585.
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    Cited by:

    1. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.
    2. repec:spr:jogath:v:46:y:2017:i:4:d:10.1007_s00182-016-0563-5 is not listed on IDEAS
    3. 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.
    4. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    5. Xanthos, Foivos, 2014. "A note on the equilibrium theory of economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 1-3.
    6. Dionysius Glycopantis & Carlos Hervés-Beloso & Konrad Podczeck, 2009. "Symposium on: equilibria with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 217-219, February.
    7. Basile, Achille & Graziano, Maria Gabriella & Papadaki, Maria & Polyrakis, Ioannis A., 2017. "Cones with semi-interior points and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 71(C), pages 36-48.
    8. Martins-da-Rocha, Victor Filipe & Yannelis, Nicholas C., 2011. "Non-emptiness of the alpha-core," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 716, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    9. Nicholas Yannelis, 2009. "Debreu’s social equilibrium theorem with asymmetric information and a continuum of agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 419-432, February.
    10. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2009. "On non-revealing rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 351-369, February.
    11. Marialaura Pesce & Peter Cramton & Nicholas C. Yannelis, 2010. "A new perspective to rational expectations: maximin rational expectations equilibrium," Discussion Papers 1528, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. Angeloni, Laura & Martins-da-Rocha, Victor Filipe, 2007. "Contract enforcement and incentive compatibility in large economies with differential information: the role of exact feasibility," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 647, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    13. Anuj Bhowmik & Jiling Cao, 2013. "On the core and Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 537-560, August.
    14. Jiuqiang Liu & Huihui Zhang, 2016. "Coincidence of the Mas-Colell bargaining set and the set of competitive equilibria in a continuum coalition production economy," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1095-1109, November.
    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.
    16. Bhowmik, Anuj & Centrone, Francesca & Martellotti, Anna, 2016. "Coalitional Extreme Desirability in Finitely Additive Economies with Asymmetric Information," MPRA Paper 71084, University Library of Munich, Germany.
    17. repec:eee:jetheo:v:177:y:2018:i:c:p:678-707 is not listed on IDEAS
    18. Martins-da-Rocha, Victor Filipe & Angeloni, Laura, 2008. "Large economies with differential information but without free disposal," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 671, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    19. 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.
    20. Achille Basile & Chiara Donnini & Maria Graziano, 2010. "Economies with informational asymmetries and limited vetoer coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 147-180, October.
    21. Marialaura Pesce, 2010. "On mixed markets with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 23-53, October.
    22. Claudia Meo, 2015. "Cooperative Solutions for Large Economies with Asymmetric Information," Metroeconomica, Wiley Blackwell, vol. 66(1), pages 71-90, February.
    23. Wei He & Nicholas C. Yannelis, 2013. "Equilibrium Theory under Ambiguity," The School of Economics Discussion Paper Series 1307, Economics, The University of Manchester.
    24. Erik Balder & Nicholas Yannelis, 2009. "Bayesian–Walrasian equilibria: beyond the rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 385-397, February.

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