Applying Negishi's method to stochastic models with overlapping generations
In this paper we develop a Negishi approach to characterize recursive equilibria in stochastic models with overlapping generations. When competitive equilibria are Pareto-optimal, using Negishi-weights as a co-state variable has three major computational advantages over the standard approach of using the natural state: First, the endogenous state space is a unit simplex and thus easy to handle. Second, the number of unknown functions characterizing equilibrium dynamics is orders of magnitude smaller. Third, approximation errors have a compelling economic interpretation. Our main contribution is to show that the Negishi approach extends naturally to models with borrowing-constraints and incomplete financial markets where the welfare theorems fail. Many of the computational advantages carry over to this setting. We derive sufficient conditions for the existence of Markov equilibria in the complete markets model as well as for models with incomplete markets and borrowing constraints.
|Date of creation:||2013|
|Date of revision:|
|Contact details of provider:|| Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA|
Web page: http://www.EconomicDynamics.org/
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- Storesletten, Kjetil & Telmer, Chris & Yaron, Amir, 2002.
"Asset pricing with idiosyncratic risk and overlapping generations,"
703, Stockholm University, Institute for International Economic Studies.
- Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
- Kjetil Storesletten & Chris Telmer & Amir Yaron, . "Asset pricing with idiosyncratic risk and overlapping generations," GSIA Working Papers 226, Carnegie Mellon University, Tepper School of Business.
- Storesletten, Kjetil & Telmer, Chris & Yaron, Amir, 2001. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," CEPR Discussion Papers 3065, C.E.P.R. Discussion Papers.
- Kjetil Storesletten & Chris Telmer & Amir Yaron, 1996. "Asset pricing with idiosyncratic risk and overlapping generations," Economics Working Papers 405, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 1999.
- Yili Chien & Harold Cole & Hanno Lustig, 2011.
"A Multiplier Approach to Understanding the Macro Implications of Household Finance,"
Review of Economic Studies,
Oxford University Press, vol. 78(1), pages 199-234.
- YiLi Chien & Harold Cole & Hanno Lustig, 2007. "A Multiplier Approach to Understanding the Macro Implications of Household Finance," NBER Working Papers 13555, National Bureau of Economic Research, Inc.
- Felix Kubler & Karl Schmedders, 2005. "Approximate versus Exact Equilibria in Dynamic Economies," Econometrica, Econometric Society, vol. 73(4), pages 1205-1235, 07.
- Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992.
"On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 43-68, January.
- Timothy J. Kehoe & David K. Levine & Paul M. Romer, 1990. "On characterizing equilibria of economies with externalities and taxes as solutions to optimization problems," Working Papers 436, Federal Reserve Bank of Minneapolis.
- Huffman, Gregory W, 1987. "A Dynamic Equilibrium Model of Asset Prices and Transaction Volume," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 138-59, February.
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