Expectational diversity in monetary economies
We investigate an overlapping generations monetary economy in which agents' expectations depend upon backward looking predictors of the future price level. We use discrete choice theory to model how agents select a predictor based on its past forecast error. Letting the number of available predictors tend to infinity, we obtain the large type limit of the system. Taking the large type limit dramatically reduces the number of free parameters, while maintaining the expectational diversity which we argue is necessary for constructing plausible learning-based models. The model's dynamics are strongly influenced by the intensity of choice, which measures how sensitive an agent's predictor choice is to differences in forecast errors across predictors. When the intensity of choice is low, the monetary steady state is stable. As the intensity of choice increases, two types of behavior may emerge. First, the system may undergo a saddle- node bifurcation and become explosive. Second, the system may undergo a Hopf bifurcation, in which case we document the emergence of highly irregular equilibrium price paths. The conditions under a Hopf bifurcation occurs seem economically plausible.
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- Benhabib Jess & Farmer Roger E. A., 1994.
"Indeterminacy and Increasing Returns,"
Journal of Economic Theory,
Elsevier, vol. 63(1), pages 19-41, June.
- Benhabib, Jess & Farmer, Roger E.A., 1991. "Indeterminacy and Increasing Returns," Working Papers 91-59, C.V. Starr Center for Applied Economics, New York University.
- Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
- Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
- Marcet, Albert & Sargent, Thomas J, 1989. "Convergence of Least-Squares Learning in Environments with Hidden State Variables and Private Information," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1306-1322, December.
- Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
- Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January.
- Lucas, Robert E, Jr, 1996. "Nobel Lecture: Monetary Neutrality," Journal of Political Economy, University of Chicago Press, vol. 104(4), pages 661-682, August.
- Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
- Thomas J. Sargent, 1982. "The Ends of Four Big Inflations," NBER Chapters,in: Inflation: Causes and Effects, pages 41-98 National Bureau of Economic Research, Inc.
- Thomas J. Sargent, 1981. "The ends of four big inflations," Working Papers 158, Federal Reserve Bank of Minneapolis.
- Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
- Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
- Blake LeBaron, "undated". "Experiments in Evolutionary Finance," Working papers _001, University of Wisconsin - Madison.
- LeBaron, B., 1995. "Experiments in Evolutionary Finance," Working papers 9528, Wisconsin Madison - Social Systems.
- Lucas, Robert E, Jr, 1986. "Adaptive Behavior and Economic Theory," The Journal of Business, University of Chicago Press, vol. 59(4), pages 401-426, October.
- Lim, Suk S & Prescott, Edward C & Sunder, Shyam, 1994. "Stationary Solution to the Overlapping Generations Model of Fiat Money: Experimental Evidence," Empirical Economics, Springer, vol. 19(2), pages 255-277.
- Evans, George W. & Honkapohja, Seppo, 1994. "Convergence of least squares learning to a non-stationary equilibrium," Economics Letters, Elsevier, vol. 46(2), pages 131-136, October.
- Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September.
- Arifovic, Jasmina, 1995. "Genetic algorithms and inflationary economies," Journal of Monetary Economics, Elsevier, vol. 36(1), pages 219-243, August.
- Marimon, Ramon & Sunder, Shyam, 1993. "Indeterminacy of Equilibria in a Hyperinflationary World: Experimental Evidence," Econometrica, Econometric Society, vol. 61(5), pages 1073-1107, September.
- Ramon Marimon & Shyam Sunder, 1993. "Indeterminacy of equilibria in a hyperinflationary world: Experimental evidence," Economics Working Papers 25, Department of Economics and Business, Universitat Pompeu Fabra.
- Boldrin, Michele & Woodford, Michael, 1990. "Equilibrium models displaying endogenous fluctuations and chaos : A survey," Journal of Monetary Economics, Elsevier, vol. 25(2), pages 189-222, March.
- Michele Boldrin & Michael Woodford, 1988. "Equilibruim Models Displaying Endogenous Fluctuations and Chaos: A Survey," UCLA Economics Working Papers 530, UCLA Department of Economics.
- Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
- James B. Bullard, 1991. "Learning equilibria," Working Papers 1991-004, Federal Reserve Bank of St. Louis.
- William A. Brock, 1993. "Pathways to randomness in the economy: Emergent nonlinearity and chaos in economics and finance," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 8(1), pages 3-55.
- W. A. Brock, 1993. "Pathways to Randomness in the Economy: Emergent Nonlinearity and Chaos in Economics and Finance," Working Papers 93-02-006, Santa Fe Institute.
- Blake LeBaron, 1994. "Chaos and Nonlinear Forecastability in Economics and Finance," Finance 9411001, EconWPA.
- Grandmont, Jean-Michel & Laroque, Guy, 1986. "Stability of cycles and expectations," Journal of Economic Theory, Elsevier, vol. 40(1), pages 138-151, October.
- Grandmont Jean-michel & Laroque Guy, 1985. "Stability of cycles and expectations," CEPREMAP Working Papers (Couverture Orange) 8519, CEPREMAP.
- Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
- Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-224, March.
- Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
- Duffy John, 1994. "On Learning and the Nonuniqueness of Equilibrium in an Overlapping Generations Model with Fiat Money," Journal of Economic Theory, Elsevier, vol. 64(2), pages 541-553, December.
- Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-1160, September.
- Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, October. Full references (including those not matched with items on IDEAS)
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