Abstract
This paper introduces a classification of DSGEs from a Markovian perspective, and positions the class of Partially Observable Markov Decision Process (POMDP) to the center of a generalization of linear rational expectations models. The analysis of the POMDP class builds on the previous development in dynamic controls for linear system, and derives a solution algorithm by formulating an equilibrium as a fixed point of an operator that maps what we observe into what we believe.
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References
Baxter B., Graham L., Wright S. (2011) Invertible and non-invertible information sets in linear rational expectations models. Journal of Economic Dynamics and Control 35(3): 295–311
Binder, M., & Pesaran, M. H. (1995). Multivariate rational expectations models and macroeconometric modeling: A review and some new results. In M. H. Pesaran & M. R. Wickens (Eds.), Handbook of applied econometrics: Macroeconomics and finance. Oxford: Wiley-Blackwell.
Blanchard, O., & Gali, J. (2007). A new Keynesian model with unemployment. Center for Financial Studies CFS working paper no. 2007/08.
Blanchard O., Kahn J. (1980) The solution of linear difference models under rational expectations. Econometrica 48(5): 1305–1312
Cagetti M., Hansen L. P., Sargent T., Williams N. (2002) Robustness and pricing with uncertain growth. Review of Financial Studies 15(2): 363–404
Cassandra, A. (2005). Partially observable Markov decision processes. http://www.pomdp.org/pomdp/pomdp-faq.shtml.
Curdia, V. (2008). Optimal monetary policy under sudden stops. Staff report no. 323. Federal Reserve Bank of New York.
Gertler, M., & Karadi, P. (2009). A model of unconventional monetary policy. New York University manuscript.
Geweke, J. (1999). Computational experiments and reality. Society for Computational Economics, Computing in Economics and Finance, paper no. 401.
Geweke J. (2001) A note on some limitations of CRRA utility. Economics Letters 71(3): 341–345
Hamilton J. D. (1994) Time series analysis. Princeton University Press, Princeton
Kaelbling L., Littman M., Cassandra A. (1998) Planning and acting in partially observable stochastic domains. Artificial Intelligence 101: 99–134
Kendrick D., Amman H. (2006) A classification system for economic stochastic control models. Computational Economics 27: 453–481
King R. G., Watson M. W. (1998) The solution of singular linear difference systems under rational expectations. International Economic Review 39(4): 1015–1026
Klein P. (2000) Using the generalized Schur form to solve a multivariate linear rational expectations model. Journal of Economic Dynamics & Control 24: 1405–1423
Kydland F. E., Prescott E. C. (1982) Time to build and aggregate fluctuations. Econometrica 50(6): 1345–1370
Littman M. (2009) A tutorial on partially observable Markov decision processes. Journal of Mathematical Psychology 53(3): 119–125
Lorenzoni G. (2009) A theory of demand shocks. American Economic Review 99(5): 2050–2084
Lucas R. E. (1978) Asset prices in an exchange economy. Econometrica 46(6): 1429–1445
McCallum B. T. (1998) Solutions to linear rational expectations models: A compact exposition. Economics Letters 61(2): 143–147
Nordhaus W. (1992) An optimal transition path for controlling greenhouse gases. Science 258: 1315–1319
Pigou A. (1927) Industrial fluctuations. MacMillan, London
Sargent T. (1991) Equilibrium with signal extraction from endogenous variables. Journal of Economic Dynamics and Control 15(2): 245–273
Schmitt-Grohe S., Uribe M. (2004) Solving dynamic general equilibrium models using a second-order approximation to the policy function. Journal of Economic Dynamics & Control 28: 755–775
Smets F., Wouters R. (2003) An estimated dynamic stochastic general equilibrium model of the euro area. Journal of the European Economic Association 1(5): 1123–1175
Sondik, E. (1971). The optimal control of partially observable Markov decision processes. PhD thesis, Stanford University.
Svensson L., Woodford M. (2003) Indicator variables for optimal policy. Journal of Monetary Economics 50(3): 691–720
Svensson L., Woodford M. (2004) Indicator variables for optimal policy under asymmetric information. Journal of Economic Dynamics and Control 28(4): 661–690
Townsend R. M. (1983) Forecasting the forecasts of others. Journal of Political Economy 91(4): 546–588
Weitzman M. L. (2007) Subjective expectations and asset-return puzzles. American Economic Review 97(4): 1102–1130
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Kim, SH. Sequential Action and Beliefs Under Partially Observable DSGE Environments. Comput Econ 40, 219–244 (2012). https://doi.org/10.1007/s10614-012-9323-1
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DOI: https://doi.org/10.1007/s10614-012-9323-1