Monte Carlo Simulation of Macroeconomic Risk with a Continuum Agents : The General Case
In large random economies with heterogeneous agents, a standard stochastic framework presumes a random macro state, combined with idiosyncratic micro shocks. This can be formally represented by a ran-dom process consisting of a continuum of random variables that are conditionally independent given the macro state. However, this process satisfies a standard joint measurability condition only if there is essentially no idiosyncratic risk at all. Based on iteratively complete product measure spaces, we characterize the validity of the standard stochastic framework via Monte Carlo simulation as well as event-wise measurable conditional probabilities. These general characterizations also allow us to strengthen some earlier results related to exchangeability and independence.
|Date of creation:||2007|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +44 (0) 2476 523202
Fax: +44 (0) 2476 523032
Web page: http://www2.warwick.ac.uk/fac/soc/economics/
More information through EDIRC
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.:
- Peter J. Hammond & Yeneng Sun, 2000. "Joint Measurability and the One-way Fubini Property for a Continuum of Independent Random Variables," Working Papers 00008, Stanford University, Department of Economics.
- Richard McLean & Andrew Postlewaite, .
"Informational Size and Incentive Compatibility,"
CARESS Working Papres
99-14, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Peter Hammond & Yeneng Sun, 2001.
"Monte Carlo Simulation of Macroeconomic Risk with a Continuum of Agents: The Symmetric Case,"
01015, Stanford University, Department of Economics.
- Peter J. Hammond & Yeneng Sun, 2003. "Monte Carlo simulation of macroeconomic risk with a continuum of agents: the symmetric case," Economic Theory, Springer, vol. 21(2), pages 743-766, 03.
- Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May.
- Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
- Heaton, John & Lucas, Deborah J, 1996.
"Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing,"
Journal of Political Economy,
University of Chicago Press, vol. 104(3), pages 443-87, June.
- John Heaton & Deborah Lucas, 1993. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," NBER Working Papers 4249, National Bureau of Economic Research, Inc.
- Sun, Yeneng & Yannelis, Nicholas C., 2007. "Perfect competition in asymmetric information economies: compatibility of efficiency and incentives," Journal of Economic Theory, Elsevier, vol. 134(1), pages 175-194, May.
- Palfrey, Thomas R. & Srivastava, Sanjay, 1986. "Private information in large economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 34-58, June.
- Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
- Constantinides,George & Duffie,Darrel, 1992.
"Asset pricing with heterogeneous consumers,"
Discussion Paper Serie A
381, University of Bonn, Germany.
When requesting a correction, please mention this item's handle: RePEc:wrk:warwec:803. 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: (Helen Neal)
If references are entirely missing, you can add them using this form.