IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v38y2009i2p295-320.html
   My bibliography  Save this article

Equilibrium theory with asymmetric information and infinitely many states

Author

Listed:
  • Carlos Hervés-Beloso
  • V. Martins-da-Rocha
  • Paulo Monteiro

Abstract

Radner (1968) proved the existence of a competitive equilibrium for differential information economies with finitely many states. We extend this result to economies with infinitely many states of nature.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:38:y:2009:i:2:p:295-320
    DOI: 10.1007/s00199-008-0359-3
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-008-0359-3
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-008-0359-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Wassim Daher & V. Martins-da-Rocha & Yiannis Vailakis, 2007. "Asset market equilibrium with short-selling and differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 425-446, September.
    2. Aliprantis, Charalambos D. & Brown, Donald J., 1983. "Equilibria in markets with a Riesz space of commodities," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 189-207, April.
    3. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2004. "General equilibrium analysis in ordered topological vector spaces," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 247-269, June.
    4. Jones, Larry E, 1984. "A Competitive Model of Commodity Differentiation," Econometrica, Econometric Society, vol. 52(2), pages 507-530, March.
    5. 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.
    6. Stefan Maus, 2004. "Exchange economies with asymmetric information: competitive equilibrium and core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 395-418, August.
    7. 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.
    8. João Correia-da-Silva & Carlos Hervés-Beloso, 2009. "Prudent expectations equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 67-92, April.
    9. Podczeck, Konrad, 1996. "Equilibria in vector lattices without ordered preferences or uniform properness," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 465-485.
    10. Le Van, Cuong, 1996. "Complete Characterization of Yannelis-Zame and Chichilnisky-Kalman-Mas-Colell Properness Conditions on Preferences for Separable Concave Functions Defined in L[superscript p subscript +] and L[supersc," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 155-166, June.
    11. 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.
    12. 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.
    13. Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-1053, September.
    14. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    15. repec:dau:papers:123456789/2967 is not listed on IDEAS
    16. 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.
    17. 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.
    18. Carlos Hervés-Beloso & Emma Moreno-García & Nicholas C. Yannelis, 2006. "Characterization and incentive compatibility of Walrasian expectations equilibrium in infinite dimensional commodity spaces," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 119-139, Springer.
    19. Araujo, A. & Monteiro, P. K., 1989. "Equilibrium without uniform conditions," Journal of Economic Theory, Elsevier, vol. 48(2), pages 416-427, August.
    20. 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.
    21. BEWLEY, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," LIDAM Reprints CORE 122, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    22. Peleg, Bezalel & Yaari, Menahem E, 1970. "Markets with Countably Many Commodities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 369-377, October.
    23. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005. "On the continuity of equilibrium and core correspondences in economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
    24. João Correia-da-Silva & Carlos Hervés-Beloso, 2007. "Private Information: Similarity as Compatibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 395-407, March.
    25. Correia-da-Silva, João & Hervés-Beloso, Carlos, 2008. "Subjective expectations equilibrium in economies with uncertain delivery," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 641-650, July.
    26. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    27. Ezra Einy & Diego Moreno & Benyamin Shitovitz, 2005. "Competitive and core allocations in large economies with differential information," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 173-183, Springer.
    28. Frank H. Page Jr., 1996. "Market games with differential information and infinite dimensional commodity spaces: the core (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 151-159.
    29. 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.
    30. Balder, Erik J & Yannelis, Nicholas C, 1993. "On the Continuity of Expected Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 625-643, October.
    31. Messaoud Deghdak & Monique Florenzano, 1999. "Decentralizing Edgeworth equilibria in economies with many commodities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 297-310.
    32. 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.
    33. Erik Balder & Nicholas Yannelis, 2006. "Continuity properties of the private core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 453-464, October.
    34. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
    35. 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.
    36. Aliprantis, Charalambos D., 1997. "Separable utility functions," Journal of Mathematical Economics, Elsevier, vol. 28(4), pages 415-444, November.
    37. 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).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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:dau:papers:123456789/2344 is not listed on IDEAS
    3. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    4. 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.
    5. Marta Faias & Carlos Hervés-Beloso & Emma Moreno-García, 2011. "Equilibrium price formation in markets with differentially informed agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 205-218, September.
    6. Bhowmik, Anuj & Cao, Jiling, 2018. "Ex-post core, fine core and rational expectations equilibrium allocations," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 128-138.
    7. Laura Angeloni & V. Martins-da-Rocha, 2009. "Large economies with differential information and without free disposal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 263-286, February.
    8. 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).
    9. João Correia-da-Silva & Carlos Hervés-Beloso, 2014. "Irrelevance of private information in two-period economies with more goods than states of nature," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 439-455, February.
    10. 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.
    11. 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).
    12. 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.
    13. Carlos Hervés-Beloso & Paulo Monteiro, 2013. "Information and $$\sigma $$ -algebras," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 405-418, October.
    14. João Correia-da-Silva & Carlos Hervés-Beloso, 2012. "General equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 729-755, November.
    15. Carlos Hervés-Beloso & Claudia Meo & Emma Moreno-García, 2014. "Information and size of coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 545-563, April.
    16. Raad, R., 2012. "Existence of an equilibrium for infinite horizon economies with and without complete information," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 247-262.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    4. 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.
    5. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    6. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2004. "General equilibrium analysis in ordered topological vector spaces," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 247-269, June.
    7. Monique Florenzano & Valeri Marakulin, 2000. "Production Equilibria in Vector Lattices," Econometric Society World Congress 2000 Contributed Papers 1396, Econometric Society.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. repec:dau:papers:123456789/2346 is not listed on IDEAS
    13. Wassim Daher & V. Martins-da-Rocha & Yiannis Vailakis, 2007. "Asset market equilibrium with short-selling and differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 425-446, September.
    14. 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.
    15. 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).
    16. Wei He & Nicholas C. Yannelis, 2013. "Equilibrium Theory under Ambiguity," Economics Discussion Paper Series 1307, Economics, The University of Manchester.
    17. 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.
    18. 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.
    19. Abramovich, Y A & Aliprantis, C D & Zame, W R, 1995. "A Representation Theorem for Riesz Spaces and Its Applications to Economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 527-535, May.
    20. Aliprantis, Charalambos D. & Florenzano, Monique & Tourky, Rabee, 2006. "Production equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 406-421, August.
    21. 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.

    More about this item

    Keywords

    Asymmetric information; Continuum of states; Competitive equilibrium; Properness; D51; D82;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:38:y:2009:i:2:p:295-320. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.