85. References#
Daron Acemoglu, Simon Johnson, and James A Robinson. The colonial origins of comparative development: an empirical investigation. The American Economic Review, 91(5):1369–1401, 2001.
S Rao Aiyagari. Uninsured Idiosyncratic Risk and Aggregate Saving. The Quarterly Journal of Economics, 109(3):659–684, 1994.
Armen A Alchian. Uncertainty, evolution, and economic theory. Journal of political economy, 58(3):211–221, 1950.
D. B. O. Anderson and J. B. Moore. Optimal Filtering. Dover Publications, 2005.
E. W. Anderson, L. P. Hansen, E. R. McGrattan, and T. J. Sargent. Mechanics of Forming and Estimating Dynamic Linear Economies. In Handbook of Computational Economics. Elsevier, vol 1 edition, 1996.
Harald Anderson. Estimation of a proportion through randomized response. International Statistical Review/Revue Internationale de Statistique, pages 213–217, 1976.
George Apostolakis. The concept of probability in safety assessments of technological systems. Science, 250(4986):1359–1364, 1990.
Alan J Auerbach and Laurence J Kotlikoff. Dynamic fiscal policy. Cambridge University Press, Cambridge, 1987.
Robert L Axtell. Zipf distribution of us firm sizes. science, 293(5536):1818–1820, 2001.
Robert J Barro. On the Determination of the Public Debt. Journal of Political Economy, 87(5):940–971, 1979.
Jess Benhabib and Alberto Bisin. Skewed wealth distributions: theory and empirics. Journal of Economic Literature, 56(4):1261–91, 2018.
Jess Benhabib, Alberto Bisin, and Shenghao Zhu. The wealth distribution in bewley economies with capital income risk. Journal of Economic Theory, 159:489–515, 2015.
L M Benveniste and J A Scheinkman. On the Differentiability of the Value Function in Dynamic Models of Economics. Econometrica, 47(3):727–732, 1979.
Dmitri Bertsekas. Dynamic Programming and Stochastic Control. Academic Press, New York, 1975.
Truman Bewley. The permanent income hypothesis: a theoretical formulation. Journal of Economic Theory, 16(2):252–292, 1977.
Truman F Bewley. Stationary monetary equilibrium with a continuum of independently fluctuating consumers. In Werner Hildenbran and Andreu Mas-Colell, editors, Contributions to Mathematical Economics in Honor of Gerard Debreu, pages 27–102. North-Holland, Amsterdam, 1986.
C. M. Bishop. Pattern Recognition and Machine Learning. Springer, 2006.
Olivier Jean Blanchard and Charles M Kahn. The Solution of Linear Difference Models under Rational Expectations. Econometrica, 48(5):1305–1311, July 1980.
Lawrence Blume and David Easley. If you're so smart, why aren't you rich? belief selection in complete and incomplete markets. Econometrica, 74(4):929–966, 2006.
Lawrence E Blume, Timothy Cogley, David A Easley, Thomas J Sargent, and Viktor Tsyrennikov. A case for incomplete markets. Journal of Economic Theory, 178:191–221, 2018.
Steven L. Brunton and J. Nathan Kutz. Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control. Cambridge University Press, 2019.
Steven L. Brunton and J. Nathan Kutz. Data-Driven Science and Engineering, Second Edition. Cambridge University Press, New York, 2022.
Dariusz Buraczewski, Ewa Damek, Thomas Mikosch, and others. Stochastic models with power-law tails. Springer, 2016.
Jennifer Burns. Milton Friedman: The Last Conservative. Farrar, Straus, and Giroux, New York, 2023.
Philip Cagan. The monetary dynamics of hyperinflation. In Milton Friedman, editor, Studies in the Quantity Theory of Money, pages 25–117. University of Chicago Press, Chicago, 1956.
Andrew S Caplin. The variability of aggregate demand with (s, s) inventory policies. Econometrica, pages 1395–1409, 1985.
Christopher D Carroll. A Theory of the Consumption Function, with and without Liquidity Constraints. Journal of Economic Perspectives, 15(3):23–45, 2001.
Christopher D Carroll. The method of endogenous gridpoints for solving dynamic stochastic optimization problems. Economics Letters, 91(3):312–320, 2006.
David Cass. Optimum growth in an aggregative model of capital accumulation. Review of Economic Studies, 32(3):233–240, 1965.
A Chadhuri and R Mukerjee. Randomized Response: Theory and Technique. Marcel Dekker, New York, 1988.
E. Clarke. Multipart pricing of public goods. Public Choice, 8:19–33, 1971.
Wilbur John Coleman. Solving the Stochastic Growth Model by Policy-Function Iteration. Journal of Business & Economic Statistics, 8(1):27–29, 1990.
Steven J Davis, R Jason Faberman, and John Haltiwanger. The flow approach to labor markets: new data sources, micro-macro links and the recent downturn. Journal of Economic Perspectives, 2006.
Bruno de Finetti. La prevision: ses lois logiques, ses sources subjectives. Annales de l'Institute Henri Poincare', 7:1 – 68, 1937. English translation in Kyburg and Smokler (eds.), \it Studies in Subjective Probability, Wiley, New York, 1964.
Angus Deaton. Saving and Liquidity Constraints. Econometrica, 59(5):1221–1248, 1991.
Angus Deaton and Christina Paxson. Intertemporal Choice and Inequality. Journal of Political Economy, 102(3):437–467, 1994.
Wouter J Den Haan. Comparison of solutions to the incomplete markets model with aggregate uncertainty. Journal of Economic Dynamics and Control, 34(1):4–27, 2010.
Peter A Diamond. National debt in a neoclassical growth model. The American Economic Review, 55(5):1126–1150, 1965.
Ulrich Doraszelski and Mark Satterthwaite. Computable markov-perfect industry dynamics. The RAND Journal of Economics, 41(2):215–243, 2010.
Robert Dorfman, Paul A. Samuelson, and Robert M. Solow. Linear Programming and Economic Analysis: Revised Edition. McGraw Hill, New York, 1958.
Y E Du, Ehud Lehrer, and A D Y Pauzner. Competitive economy as a ranking device over networks. submitted, 2013.
R M Dudley. Real Analysis and Probability. Cambridge Studies in Advanced Mathematics. Cambridge University Press, 2002.
Timothy Dunne, Mark J Roberts, and Larry Samuelson. The growth and failure of us manufacturing plants. The Quarterly Journal of Economics, 104(4):671–698, 1989.
Ashraf Ben El-Shanawany, Keith H Ardron, and Simon P Walker. Lognormal approximations of fault tree uncertainty distributions. Risk Analysis, 38(8):1576–1584, 2018.
Robert F Engle and Clive W J Granger. Co-integration and Error Correction: Representation, Estimation, and Testing. Econometrica, 55(2):251–276, 1987.
Richard Ericson and Ariel Pakes. Markov-perfect industry dynamics: a framework for empirical work. The Review of Economic Studies, 62(1):53–82, 1995.
David S Evans. The relationship between firm growth, size, and age: estimates for 100 manufacturing industries. The Journal of Industrial Economics, pages 567–581, 1987.
G W Evans and S Honkapohja. Learning and Expectations in Macroeconomics. Frontiers of Economic Research. Princeton University Press, 2001.
Pablo Fajgelbaum, Edouard Schaal, and Mathieu Taschereau-Dumouchel. Uncertainty traps. Technical Report, National Bureau of Economic Research, 2015.
Lasse Fischer and Aaditya Ramdas. Improving the (approximate) sequential probability ratio test by avoiding overshoot. arXiv preprint arXiv:2410.16076, 2024.
Michael A Fligner, George E Policello, and Jagbir Singh. A comparison of two randomized response survey methods with consideration for the level of respondent protection. Communications in Statistics-Theory and Methods, 6(15):1511–1524, 1977.
M. Friedman. A Theory of the Consumption Function. Princeton University Press, 1956.
Milton Friedman. Essays in positive economics. University of Chicago press, 1953.
Milton Friedman and Rose D Friedman. Two Lucky People. University of Chicago Press, 1998.
Xavier Gabaix. Power laws in economics: an introduction. Journal of Economic Perspectives, 30(1):185–206, 2016.
David Gale. The theory of linear economic models. University of Chicago press, 1989.
Alfred Galichon. Optimal Transport Methods in Economics. Princeton University Press, Princeton, New Jersey, 2016.
Robert Gibrat. Les inégalités économiques: Applications d'une loi nouvelle, la loi de l'effet proportionnel. PhD thesis, Recueil Sirey, 1931.
Geoffrey J Gordon. Stable function approximation in dynamic programming. In Machine Learning Proceedings 1995, pages 261–268. Elsevier, 1995.
Bernard G Greenberg, Abdel-Latif A Abul-Ela, Walt R Simmons, and Daniel G Horvitz. The unrelated question randomized response model: theoretical framework. Journal of the American Statistical Association, 64(326):520–539, 1969.
Bernard G Greenberg, Roy R Kuebler, James R Abernathy, and Daniel G Horvitz. Respondent hazards in the unrelated question randomized response model. Journal of Statistical Planning and Inference, 1(1):53–60, 1977.
Moses A Greenfield and Thomas J Sargent. A probabilistic analysis of a catastrophic transuranic waste hoise accident at the wipp. Environmental Evaluation Group, Albuquerque, New Mexico, June 1993. URL: http://www.tomsargent.com/research/EEG-53.pdf.
T. Groves. Incentives in teams. Econometrica, 41:617–631, 1973.
Bronwyn H Hall. The relationship between firm size and firm growth in the us manufacturing sector. The Journal of Industrial Economics, pages 583–606, 1987.
Robert E Hall. The dynamic effects of fiscal policy in an economy with foresight. The Review of Economic Studies, 38(2):229–244, 1971.
Robert E Hall. Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence. Journal of Political Economy, 86(6):971–987, 1978.
Robert E Hall and Frederic S Mishkin. The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households. National Bureau of Economic Research Working Paper Series, 1982.
Michael J Hamburger, Gerald L Thompson, and Roman L Weil. Computation of expansion rates for the generalized von neumann model of an expanding economy. Econometrica, Journal of the Econometric Society, pages 542–547, 1967.
James D Hamilton. What's real about the business cycle? Federal Reserve Bank of St. Louis Review, pages 435–452, 2005.
L P Hansen and T J Sargent. Robustness. Princeton University Press, 2008.
L P Hansen and T J Sargent. Recursive Models of Dynamic Linear Economies. The Gorman Lectures in Economics. Princeton University Press, 2013.
Lars Peter Hansen and Scott F Richard. The role of conditioning information in deducing testable restrictions implied by dynamc asset pricing models. Econometrica, 55(3):587–613, May 1987.
J. Michael Harrison and David M. Kreps. Speculative investor behavior in a stock market with heterogeneous expectations. The Quarterly Journal of Economics, 92(2):323–336, 1978.
J. Michael Harrison and David M. Kreps. Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3):381–408, June 1979.
John Heaton and Deborah J Lucas. Evaluating the effects of incomplete markets on risk sharing and asset pricing. Journal of Political Economy, pages 443–487, 1996.
O Hernandez-Lerma and J B Lasserre. Discrete-Time Markov Control Processes: Basic Optimality Criteria. Number Vol 1 in Applications of Mathematics Stochastic Modelling and Applied Probability. Springer, 1996.
Charles Holt, Franco Modigliani, John F. Muth, and Herbert Simon. Planning Production, Inventories, and Work Force. Prentice-Hall International Series in Management, New Jersey, 1960.
Hugo A Hopenhayn. Entry, exit, and firm dynamics in long run equilibrium. Econometrica: Journal of the Econometric Society, pages 1127–1150, 1992.
Hugo A Hopenhayn and Edward C Prescott. Stochastic Monotonicity and Stationary Distributions for Dynamic Economies. Econometrica, 60(6):1387–1406, 1992.
Mark Huggett. The risk-free rate in heterogeneous-agent incomplete-insurance economies. Journal of Economic Dynamics and Control, 17(5-6):953–969, 1993.
Leonid Hurwicz. Least squares bias in time series. Statistical inference in dynamic economic models, 10:365–383, 1950.
Olle Häggström. Finite Markov chains and algorithmic applications. Volume 52. Cambridge University Press, 2002.
Michael D Intriligator. Mathematical optimization and economic theory. SIAM, 2002.
K Jänich. Linear Algebra. Springer Undergraduate Texts in Mathematics and Technology. Springer, 1994.
Robert J. Shiller John Y. Campbell. The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors. Review of Financial Studies, 1(3):195–228, 1988.
Boyan Jovanovic. Firm-specific capital and turnover. Journal of Political Economy, 87(6):1246–1260, 1979.
K L Judd. Cournot versus bertrand: a dynamic resolution. Technical Report, Hoover Institution, Stanford University, 1990.
Takashi Kamihigashi. Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence. Technical Report, Kobe University, 2012.
John G Kemeny, Oskar Morgenstern, and Gerald L Thompson. A generalization of the von neumann model of an expanding economy. Econometrica, Journal of the Econometric Society, pages 115–135, 1956.
Tjalling C. Koopmans. On the concept of optimal economic growth. In Tjalling C. Koopmans, editor, The Economic Approach to Development Planning, pages 225–287. Chicago, 1965.
David M. Kreps. Notes on the Theory of Choice. Westview Press, Boulder, Colorado, 1988.
Moritz Kuhn. Recursive Equilibria In An Aiyagari-Style Economy With Permanent Income Shocks. International Economic Review, 54:807–835, 2013.
Solomon Kullback and Richard A Leibler. On information and sufficiency. The Annals of Mathematical Statistics, 22(1):79–86, 1951.
J. N. Kutz, S. L. Brunton, Brunton B. W, and J. L. Proctor. Dynamic mode decomposition: data-driven modeling of complex systems. SIAM, 2016.
Jan Lanke. On the choice of the unrelated question in simmons' version of randomized response. Journal of the American Statistical Association, 70(349):80–83, 1975.
Jan Lanke. On the degree of protection in randomized interviews. International Statistical Review/Revue Internationale de Statistique, pages 197–203, 1976.
Martin Lettau and Sydney Ludvigson. Consumption, Aggregate Wealth, and Expected Stock Returns. Journal of Finance, 56(3):815–849, 06 2001.
Martin Lettau and Sydney C. Ludvigson. Understanding Trend and Cycle in Asset Values: Reevaluating the Wealth Effect on Consumption. American Economic Review, 94(1):276–299, March 2004.
David Levhari and Leonard J Mirman. The great fish war: an example using a dynamic cournot-nash solution. The Bell Journal of Economics, pages 322–334, 1980.
Frederick W Leysieffer and Stanley L Warner. Respondent jeopardy and optimal designs in randomized response models. Journal of the American Statistical Association, 71(355):649–656, 1976.
L Ljungqvist and T J Sargent. Recursive Macroeconomic Theory. MIT Press, 4 edition, 2018.
Lars Ljungqvist. A unified approach to measures of privacy in randomized response models: a utilitarian perspective. Journal of the American Statistical Association, 88(421):97–103, 1993.
Robert E Lucas, Jr. Asset prices in an exchange economy. Econometrica: Journal of the Econometric Society, 46(6):1429–1445, 1978.
Robert E Lucas, Jr. and Edward C Prescott. Investment under uncertainty. Econometrica: Journal of the Econometric Society, pages 659–681, 1971.
Qingyin Ma, John Stachurski, and Alexis Akira Toda. The income fluctuation problem and the evolution of wealth. Journal of Economic Theory, 187:105003, 2020.
Albert Marcet and Thomas J Sargent. Convergence of Least-Squares Learning in Environments with Hidden State Variables and Private Information. Journal of Political Economy, 97(6):1306–1322, 1989.
V Filipe Martins-da-Rocha and Yiannis Vailakis. Existence and Uniqueness of a Fixed Point for Local Contractions. Econometrica, 78(3):1127–1141, 2010.
A Mas-Colell, M D Whinston, and J R Green. Microeconomic Theory. Volume 1. Oxford University Press, 1995.
J J McCall. Economics of Information and Job Search. The Quarterly Journal of Economics, 84(1):113–126, 1970.
Enrique G Mendoza and Linda L Tesar. The international ramifications of tax reforms: supply-side economics in a global economy. American Economic Review, pages 226–245, 1998.
F. Modigliani and R. Brumberg. Utility analysis and the consumption function: An interpretation of cross-section data. In K.K Kurihara, editor, Post-Keynesian Economics. 1954.
Derek Neal. The Complexity of Job Mobility among Young Men. Journal of Labor Economics, 17(2):237–261, 1999.
J. Neyman and E. S Pearson. On the problem of the most efficient tests of statistical hypotheses. Phil. Trans. R. Soc. Lond. A. 231 (694–706), pages 289–337, 1933.
Guy H. Orcutt and Herbert S. Winokur. First order autoregression: inference, estimation, and prediction. Econometrica, 37(1):1–14, 1969.
Jonathan A Parker. The Reaction of Household Consumption to Predictable Changes in Social Security Taxes. American Economic Review, 89(4):959–973, 1999.
Jenő Pál and John Stachurski. Fitted value function iteration with probability one contractions. Journal of Economic Dynamics and Control, 37(1):251–264, 2013.
Guillaume Rabault. When do borrowing constraints bind? Some new results on the income fluctuation problem. Journal of Economic Dynamics and Control, 26(2):217–245, 2002.
Kevin L Reffett. Production-based asset pricing in monetary economies with transactions costs. Economica, pages 427–443, 1996.
Michael Reiter. Solving heterogeneous-agent models by projection and perturbation. Journal of Economic Dynamics and Control, 33(3):649–665, 2009.
Stephen P Ryan. The costs of environmental regulation in a concentrated industry. Econometrica, 80(3):1019–1061, 2012.
Paul A. Samuelson. Interactions between the multiplier analysis and the principle of acceleration. Review of Economic Studies, 21(2):75–78, 1939.
Thomas J Sargent. The Demand for Money During Hyperinflations under Rational Expectations: I. International Economic Review, 18(1):59–82, February 1977.
Thomas J Sargent. Macroeconomic Theory. Academic Press, New York, 2nd edition, 1987.
Jack Schechtman and Vera L S Escudero. Some results on an income fluctuation problem. Journal of Economic Theory, 16(2):151–166, 1977.
Jose A. Scheinkman. Speculation, Trading, and Bubbles. Columbia University Press, New York, 2014.
Peter J Schmid. Dynamic mode decomposition of numerical and experimental data. Journal of fluid mechanics, 656:5–28, 2010.
Claude E Shannon. A mathematical theory of communication. The Bell system technical journal, 27(3):379–423, 1948.
John Stachurski. Continuous state dynamic programming via nonexpansive approximation. Computational Economics, 31(2):141–160, 2008.
John Stachurski and Alexis Akira Toda. An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity. Journal of Economic Theory, 182:1–24, 2019.
N L Stokey, R E Lucas, and E C Prescott. Recursive Methods in Economic Dynamics. Harvard University Press, 1989.
Kjetil Storesletten, Christopher I Telmer, and Amir Yaron. Consumption and risk sharing over the life cycle. Journal of Monetary Economics, 51(3):609–633, 2004.
R K Sundaram. A First Course in Optimization Theory. Cambridge University Press, 1996.
Richard S Sutton and Andrew G Barto. Reinforcement learning: An introduction. MIT press, 2018.
George Tauchen. Finite state markov-chain approximations to univariate and vector autoregressions. Economics Letters, 20(2):177–181, 1986.
Daniel Treisman. Russia's billionaires. The American Economic Review, 106(5):236–241, 2016.
J. H. Tu, C. W. Rowley, D. M. Luchtenburg, S. L. Brunton, and J. N. Kutz. On dynamic mode decomposition: theory and applications. Journal of Computational Dynamics, 1(2):391–421, 2014.
Ngo Van Long. Dynamic games in the economics of natural resources: a survey. Dynamic Games and Applications, 1(1):115–148, 2011.
W. Vickrey. Counterspeculation, auctions, and competitive sealed tenders. Journal of Finance, 16:8–37, 1961.
John von Neumann. Zur theorie der gesellschaftsspiele. Mathematische annalen, 100(1):295–320, 1928.
John von Neumann. Uber ein okonomsiches gleichungssystem und eine verallgemeinering des browerschen fixpunktsatzes. In Erge. Math. Kolloq., volume 8, 73–83. 1937.
Abraham Wald. Sequential Analysis. John Wiley and Sons, New York, 1947.
W Allen Wallis. The statistical research group, 1942–1945. Journal of the American Statistical Association, 75(370):320–330, 1980.
Stanley L Warner. Randomized response: a survey technique for eliminating evasive answer bias. Journal of the American Statistical Association, 60(309):63–69, 1965.
William E Wecker. Predicting the turning points of a time series. Journal of business, pages 35–50, 1979.
Charles Whiteman. Linear Rational Expectations Models: A User's Guide. University of Minnesota Press, Minneapolis, Minnesota, 1983.
Jeffrey M Wooldridge. Introductory econometrics: A modern approach. Nelson Education, 2015.
G Alastair Young and Richard L Smith. Essentials of statistical inference. Cambridge University Press, 2005.