Brownian equilibria under Knightian uncertainty
AbstractThis paper establishes, in the setting of Brownian information, a general equilibrium existence result in a heterogeneous agent economy. The existence is generic among income distributions. Agents differ moreover in their stochastic differential formulation of intertemporal recursive utility. The present class of utility functionals is generated by a recursive integral equation and incorporates preference for the local risk of the stochastic utility process. The setting contains models in which Knightian uncertainty is represented in terms of maxmin preferences of Chen and Epstein (2002). Alternatively, Knightian decision making in terms of an inertia formulation from Bewley (2002) can be modeled as well.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 447.
Length: 20 pages
Date of creation: Nov 2013
Date of revision:
generalized stochastic differential utility; super-gradients; properness; general equilibrium; Knightian uncertainty; generic existence; asset pricing;
Find related papers by JEL classification:
- G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-23 (All new papers)
- NEP-DGE-2011-04-23 (Dynamic General Equilibrium)
- NEP-ORE-2011-04-23 (Operations Research)
- NEP-UPT-2011-04-23 (Utility Models & Prospect Theory)
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.:
- V. Filipe Martins-da-Rocha & Frank Riedel, 2008.
"On equilibrium prices in continuous time,"
Working Papers, Bielefeld University, Center for Mathematical Economics
397, Bielefeld University, Center for Mathematical Economics.
- V. Filipe Martins-da-Rocha & Frank Riedel, 2008. "On Equilibrium Prices in Continuous Time," Papers 0802.3585, arXiv.org.
- Martins-da-Rocha, Victor Filipe & Riedel, Frank, 2008. "On Equilibrium Prices in Continuous Time," Economics Working Papers (Ensaios Economicos da EPGE) 672, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Mas-Colell, Andreu & Zame, William R., 1991. "Equilibrium theory in infinite dimensional spaces," Handbook of Mathematical Economics, Elsevier, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 34, pages 1835-1898 Elsevier.
- Frank Riedel & Peter Bank, 2001.
"Existence and structure of stochastic equilibria with intertemporal substitution,"
Finance and Stochastics, Springer,
Springer, vol. 5(4), pages 487-509.
- Bank, Peter & Riedel, Frank, 2000. "Existence and structure of stochastic equilibria with intertemporal substitution," SFB 373 Discussion Papers 2000,104, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Larry G. Epstein & JianJun Miao, 2001.
"A Two-Person Dynamic Equilibrium under Ambiguity,"
RCER Working Papers
478, University of Rochester - Center for Economic Research (RCER).
- Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 27(7), pages 1253-1288, May.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dr. Frederik Herzberg).
If references are entirely missing, you can add them using this form.