Existence of an Equilibrium for Lower Semicontinuous Information Acquisition Functions
We consider a two-period model in which a continuum of agents trade in a context of costly information acquisition and systematic heterogeneous expectations biases. Because of systematic biases agents are supposed not to learn from others' decisions. In a previous work under somehow strong technical assumptions a market equilibrium was proved to exist and the supply and demand functions were proved to be strictly monotonic with respect to the price. Here we extend these results under very weak technical assumptions. We also prove that the equilibrium price maximizes the trading volume and further additional properties (such as the antimonotonicity of the trading volume with respect to the marginal information price).
|Date of creation:||22 Apr 2014|
|Date of revision:|
|Publication status:||Published in Journal of Applied Mathematics, Hindawi Publishing Corporation, 2014, 2014, pp.268427. <10.1155/2014/268427>|
|Note:||View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00723189v3|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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.:
- Stephen Morris, .
"Speculative Investor Behavior and Learning,"
Penn CARESS Working Papers
d12f7936881423171f6589501, Penn Economics Department.
- Stephen Morris, 1996. "Speculative investor behavior and learning," Working Papers 96-5, Federal Reserve Bank of Philadelphia.
- Stephen Morris, . ""Speculative Investor Behavior and Learning''," CARESS Working Papres 95-13, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Sanford J Grossman & Joseph E Stiglitz, 1997.
"On the Impossibility of Informationally Efficient Markets,"
Levine's Working Paper Archive
1908, David K. Levine.
- Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
- Krebs, Tom, 2007. "Rational expectations equilibrium and the strategic choice of costly information," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 532-548, June.
- Ko, K. Jeremy & (James) Huang, Zhijian, 2007. "Arrogance can be a virtue: Overconfidence, information acquisition, and market efficiency," Journal of Financial Economics, Elsevier, vol. 84(2), pages 529-560, May.
- De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990.
"Noise Trader Risk in Financial Markets,"
3725552, Harvard University Department of Economics.
- Grossman, Sanford, 1978. "Further results on the informational efficiency of competitive stock markets," Journal of Economic Theory, Elsevier, vol. 18(1), pages 81-101, June.
- Ho-Mou Wu & Wen-Chung Guo, 2003. "Speculative trading with rational beliefs and endogenous uncertainty," Economic Theory, Springer, vol. 21(2), pages 263-292, 03.
- Ho-Mou Wu & Wen-Chung Guo, 2004. "Asset price volatility and trading volume with rational beliefs," Economic Theory, Springer, vol. 23(4), pages 795-829, May.
- Laura Veldkamp, 2004.
"Media Frenzies in Markets for Financial Information,"
Econometric Society 2004 North American Winter Meetings
4, Econometric Society.
- Laura L. Veldkamp, 2006. "Media Frenzies in Markets for Financial Information," American Economic Review, American Economic Association, vol. 96(3), pages 577-601, June.
- Laura Veldkamp, 2003. "Media Frenzies in Markets for Financial Information," Working Papers 03-20, New York University, Leonard N. Stern School of Business, Department of Economics.
- Jackson, Matthew O, 1991. "Equilibrium, Price Formation, and the Value of Private Information," Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 1-16.
- Pagano, Marco, 1986.
"Endogenous Market Thinness and Stock Price Volatility,"
CEPR Discussion Papers
146, C.E.P.R. Discussion Papers.
- Marco Pagano, 1989. "Endogenous Market Thinness and Stock Price Volatility," Review of Economic Studies, Oxford University Press, vol. 56(2), pages 269-287.
- Peng, Lin, 2005. "Learning with Information Capacity Constraints," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 40(02), pages 307-329, June.
- Sanford Grossman, 1978. "Further results on the informational efficiency of competitive stock markets," Special Studies Papers 114, Board of Governors of the Federal Reserve System (U.S.).
- Grossman, Sanford J, 1976. "On the Efficiency of Competitive Stock Markets Where Trades Have Diverse Information," Journal of Finance, American Finance Association, vol. 31(2), pages 573-85, May.
- repec:dau:papers:123456789/7431 is not listed on IDEAS
- Abarbanell, Jeffery S. & Lanen, William N. & Verrecchia, Robert E., 1995. "Analysts' forecasts as proxies for investor beliefs in empirical research," Journal of Accounting and Economics, Elsevier, vol. 20(1), pages 31-60, July.
- Wang, Jiang, 1994. "A Model of Competitive Stock Trading Volume," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 127-68, February.
- Sanford J. Grossman, 1977. "The Existence of Futures Markets, Noisy Rational Expectations and Informational Externalities," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 431-449.
- Harris, Milton & Raviv, Artur, 1993. "Differences of Opinion Make a Horse Race," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 473-506.
- Varian, Hal R, 1985. " Divergence of Opinion in Complete Markets: A Note," Journal of Finance, American Finance Association, vol. 40(1), pages 309-17, March.
When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-00723189. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
If references are entirely missing, you can add them using this form.