Tutino, Antonella (2008): Processing savings and work decisions through Shannon's channels.
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Abstract
This paper argues that constraining people to choose consumption and labor under fi�nite Shannon capacity produces results in line with U.S. business cycle data as well as secular movements in consumption and labor supply. The model has a simple partial equilibrium setting in which risk averse consumers keep high labor supply and low consumption profi�le at early stage of life to hedge against wealth fluctuations. They rationally choose to keep consumption and labor unchanged until they collect enough information. I fi�nd that at high frequency consumption appears to be more sluggish than labor supply. However, when people decide to change consumption they do so by a large amount. This combination leads to higher variance of consumption with respect to labor supply. The model also finds high persistence and strong comovement of consumption and employment and delayed response of consumption and labor with respect to shocks to wages. Positive changes in wages generate an increase in long run value of consumption while the change in long run values of labor is negligible. Furthermore, the effects on labor and consumption of a shock to wages propagate slowly over time due to people's endogenous choice of information. These �findings suggest that rational inattention offers a promising avenue to bridge the gap between theory and U.S. data at business cycle frequency as well as in the long run.
Item Type: | MPRA Paper |
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Original Title: | Processing savings and work decisions through Shannon's channels |
Language: | English |
Keywords: | Savings and labor decisions, Shannon capacity, US business cycle |
Subjects: | D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling D - Microeconomics > D9 - Intertemporal Choice > D91 - Intertemporal Household Choice ; Life Cycle Models and Saving |
Item ID: | 16746 |
Depositing User: | Antonella Tutino |
Date Deposited: | 11 Aug 2009 15:15 |
Last Modified: | 29 Sep 2019 04:21 |
References: | Aguiar, Mark, and Erik Hurst, 2005. �Consumption versus Expenditure.�Journal of Political Economy. 113 (5): 919�948. Barro, Robert J., 1977. �Long-term contracting, sticky prices, and monetary policy.� Journal of Monetary Economics. 3 (3): 305�316. Becker, Gary S., 1965. �A Theory of the Allocation of Time.�The Economic Journal. 75 (299): 493�517. Blanchard, Olivier J., and Jordi Gal¬�, 2006. �A New Keynesian Model with Unem- ployment.�MIT Mimeo. Browning, M., Hansen L.P., and J. Heckman (1999), "Micro data and general equi- librium models", in: J.B. Taylor and M. Woodford (eds.), Handbook of Macroeco- nomics, vol. 1, Elsevier, 103-204. Chang, Y., and S. Kim (2005). "On the aggregate labor supply", Federal Reserve Bank of Richmond Economic Quarterly, 91(1), 21-37. Chang, Y., and S. Kim (2006). "From individual to aggregate labor supply: A quan- titative Analysis on a heterogeneous agent macroeconomy", International Economic Review, 47, 1-27. Chari, V.V., Patrick J. Kehoe, and Ellen R. McGrattan, 2007. �Business Cycle Accounting.�Econometrica. 75 (3): 781�836. Chen, Kaiji, Ayse Imrohoroglu, and Selahattin Imrohoroglu, 2007. �A Quantita- tive Assessment of the Decline in the U.S. Savings Rate.�University of Southern California Mimeo. Erceg, Christopher J., Dale W. Henderson, and Andrew T. Levin, 2000. �Optimal Monetary Policy with Staggered Wage and Price Contracts.�Journal of Monetary Economics. 46 (2): 281�313. Gali�, Jordi, Mark Gertler, and J. David Lopez-Salido, 2007. �Markups, Gaps, and theWelfare Costs of Business Fluctuations.�The Review of Economics and Statistics. 89 (1): 44�59. Gal¬�, Jordi, and Paul Rabanal, 2004. �Technology Shocks and Aggregate Fluctua- tions: How Well Does the RBC Model Fit Postwar US Data?.�NBER Macroeco- nomics Annual. 19: 225�318. Gertler, Mark, and Antonella Trigari, 2006. �Unemployment Fluctuations With Staggered Nash Wage Bargaining.�NBER Working Paper 12498. Guo, D., S. Shamai , and S. Verdú, 2005 �Mutual information and minimum mean- square error in Gaussian channels,� IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1261�1283, Apr. 2005 32 Hall, Robert E., 1997. �Macroeconomic Fluctuations and the Allocation of Time.� Journal of Labor Economics. 15 (1): 223�250. Hall, Robert E., 2005. �Employment Fluctuations with Equilibrium Wage Sticki- ness.�American Economic Review. 95 (1): 50�65. Hansen, Gary D., 1985. �Indivisible Labor and the Business Cycle.� Journal of Monetary Economics. 16 (3): 309�327. Heckman, J. (1993), "What has been learnt about labor supply in the past twenty years", American Economic Review, 83, 116-21. Imai, Susumu, and Michael P. Keane, 2004. �Intertemporal Labor Supply and Hu- man Capital Accumulation.�International Economic Review. 45 (2): 601�641. Kaldor, Nicholas, 1957. �A Model of Economic Growth.�The Economic Journal. 67 (268): 591�624. Kalai, Gil. A subexponential randomized simplex algorithm (extended abstract).In Proceedings of the twenty-fourth annual ACM symposium on Theory of computing, pages 475�482. ACM Press, 1992. Kalai, Gil. Linear programming, the simplex algorithm and simple polytopes. Math. Programming, 79(1-3,Ser. B):217�233, 1997. Krusell, Per, and Anthony A. Smith, Jr., 1998. �Income and Wealth Heterogeneity in the Macroeconomy.�Journal of Political Economy. 106 (5): 867. Lovejoy, W. Computationally feasible bound for partially observable Markov Deci- sion problem, Operations Research, 39:162:175, Lucas, Robert E. Jr., and Leonard A. Rapping, 1969. �Real Wages, Employment, and In�ation.�The Journal of Political Economy. 77 (5): 721�754. Mackowiak, B., and M. Wiederholt, 2008a, "Optimal Sticky Prices under Rational Inattention", American Economic Review, forthcoming Mackowiak, B., and M. Wiederholt, 2008b, "Business Cycle Dynamics under Ratio- nal Inattention", Mimeo. MaCurdy, Thomas E., 1981. �An Empirical Model of Labor Supply in a Life-Cycle Setting.�Journal of Political Economy. 89 (6): 1059�1085. Mankiw, N. Gregory, Rotemberg, J. Julio and Lawrence H. Summers, 1985, "In- tertemporal substitution in Macroeconomics", The Quarterly Journal of Economics, MIT Press, vol. 100(1), pp. 225-51. Mankiw, N. Gregory, 1989. �Real Business Cycles: A New Keynesian Perspective.� Journal of Economic Perspectives. 3 (3): 79�90. 33 McGrattan, Ellen R., and Edward C. Prescott, 2007. �Technical Appendix: Unmea- sured Investment and the Puzzling U.S. Boom in the 1990s.�Federal Reserve Bank ofMinneapolis Sta¤ Report 395. Mertens, Karel, and Morten O. Ravn, 2008. �The Aggregate E¤ects of Anticipated and Unanticipated US Tax Policy Shocks: Theory and Empirical Evidence.�Cornell University Mimeo. Modigliani, Franco, 1977. �The Monetarist Controversy or, Should We Forsake Sta- bilization Policies?.�American Economic Review. 67 (2): 1�19. Mortensen, Dale T., and Christopher A. Pissarides, 1994. �Job Creation and Job Destruction in the Theory of Unemployment.�The Review of Economic Studies. 61 (3): 397�415. Mulligan, Casey B., 2002. �A Century of Labor-Leisure Distortions.�NBERWorking Paper 8774. Parkin, Michael, 1988. �AMethod for DeterminingWhether Parameters in Aggrega- tive Models Are Structural.�Carnegie-Rochester Conference Series on Public Policy. 29: 215�252. Pissarides, Christopher A., 1985. �Short-Run Equilibrium Dynamics of Unemploy- ment, Vacancies, and Real Wages.�The American Economic Review. 75 (4): 676� 690. Pissarides, Christopher A., 2007. �The Unemployment Volatility Puzzle: Is Wage Stickiness the Answer?.�LSE Mimeo. Prescott, Edward C., 2004. �Why Do Americans Work So Much More Than Euro- peans?.�Federal Reserve Bank of Minneapolis Quarterly Review. 28 (1): 2�13. Ragan, Kelly S., 2006. �Taxes, Transfers, and Time Use: Fiscal Policy in a Household Production Model.�Ph.D. thesis, University of Chicago. Rogerson, Richard, 1988. �Indivisible Labor, Lotteries and Eequilibrium.�Journal of Monetary Economics. 21 (1): 3�16. Rogerson, Richard, 2007. �Taxation and Market Work: Is Scandinavia an Outlier?.� Economic Theory. 32 (1): 59�85. Rogerson, Richard, and Johanna Wallenius, 2007. �Micro and Macro Elasticities in a Life Cycle Model with Taxes.�NBER Working Paper 13017. Romer, Christina D., and David H. Romer, 2007. �A Narrative Analysis of Postwar Tax Changes.�University of California, Berkeley Mimeo. Rotemberg, Julio J., and Michael Woodford, 1991. �Markups and the Business Cy- cle.�NBER Macroeconomics Annual. pp. 63�129. 34 Rotemberg, Julio J., and Michael Woodford, 1997. �An Optimization-Based Econo- metric Framework for the Evaluation of Monetary Policy.�NBER Macroeconomics Annual. 12: 297�346. Shannon, C. 1948. "A Mathematica Theory of Communication". Bell System Tech- nical Journal, vol. 27, pp. 379�423 and 623�656, July and October, 1948 Shimer, R. 2009. "Convergence in Macroeconomics: The Labor Wedge." American Economic Journal: Macroeconomics, 1(1): 280�97. Sims, Christopher A., 1998, "Stickiness", Carnegie-rochester Conference Series On Public Policy, 49(1), 317�356. Sims, Christopher A., 2003, "Implications of Rational Inattention", Journal of Mon- etary Economics, 50(3), 665�690. Sims, Christopher A., 2006 "Rational Inattention: A research Agenda", American Economic Review Paper and Proceedings. Tutino, Antonella, 2008 "The Rigidity of Choices, Lifetime savings under informa- tion processing constraints". Princeton Universtiy, Mimeo. Uhlig, Harald, 2003. �How Well do we Understand Business Cycles and Growth? Examining the Data with a Real Business Cycle Model.�inWolfgang Franz, Hans J¨ urgen. Ramser, and Manfred Stadler (ed.), Empirische Wirtschaftsforschung: Methoden und Anwendungen, vol. 32 of Wirtschaftswissenschaftliches Seminar Ot- tobeuren, pp. 295�319. Verdú, S. 1996 "The Exponential Distribution in Information Theory," Invited Pa- per, Problemy Peredachi Informatsii, vol. 32, no.1, pp.100-111, Jan.-Mar. 1996 (In Russian). English version in Problems of Information Transmission, vol. 32, no. 1, pp. 86-95, Jan.-Mar. 1996. Verdú, S. 1999 , Information Theory: Fifty Years of Discovery, IEEE Press, Piscat- away, NJ, S. Verdu and S. McLaughlin, Eds. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/16746 |