69. References#

Aiy94

S Rao Aiyagari. Uninsured Idiosyncratic Risk and Aggregate Saving. The Quarterly Journal of Economics, 109(3):659–684, 1994.

AMSS02

S. Rao Aiyagari, Albert Marcet, Thomas J. Sargent, and Juha Seppala. Optimal Taxation without State-Contingent Debt. Journal of Political Economy, 110(6):1220–1254, December 2002.

AM05

D. B. O. Anderson and J. B. Moore. Optimal Filtering. Dover Publications, 2005.

AHMS96

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.

Are08

Cristina Arellano. Default risk and income fluctuations in emerging economies. The American Economic Review, pages 690–712, 2008.

AP91

Papoulis Athanasios and S Unnikrishna Pillai. Probability, random variables, and stochastic processes. Mc-Graw Hill, 1991.

BY04

Ravi Bansal and Amir Yaron. Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles. Journal of Finance, 59(4):1481–1509, 08 2004. URL: https://ideas.repec.org/a/bla/jfinan/v59y2004i4p1481-1509.html, doi:.

Bar79

Robert J Barro. On the Determination of the Public Debt. Journal of Political Economy, 87(5):940–971, 1979.

BB18

Jess Benhabib and Alberto Bisin. Skewed wealth distributions: theory and empirics. Journal of Economic Literature, 56(4):1261–91, 2018.

BBZ15

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.

BS79

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.

Ber75

Dmitri Bertsekas. Dynamic Programming and Stochastic Control. Academic Press, New York, 1975.

Bew77

Truman Bewley. The permanent income hypothesis: a theoretical formulation. Journal of Economic Theory, 16(2):252–292, 1977.

Bew86

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.

Bis06

C. M. Bishop. Pattern Recognition and Machine Learning. Springer, 2006.

Car01

Christopher D Carroll. A Theory of the Consumption Function, with and without Liquidity Constraints. Journal of Economic Perspectives, 15(3):23–45, 2001.

Car06

Christopher D Carroll. The method of endogenous gridpoints for solving dynamic stochastic optimization problems. Economics Letters, 91(3):312–320, 2006.

Col90

Wilbur John Coleman. Solving the Stochastic Growth Model by Policy-Function Iteration. Journal of Business & Economic Statistics, 8(1):27–29, 1990.

CC08

J. D. Cryer and K-S. Chan. Time Series Analysis. Springer, 2nd edition edition, 2008.

DFH06

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.

Dea91

Angus Deaton. Saving and Liquidity Constraints. Econometrica, 59(5):1221–1248, 1991.

DP94

Angus Deaton and Christina Paxson. Intertemporal Choice and Inequality. Journal of Political Economy, 102(3):437–467, 1994.

DH10

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.

DJ92

Raymond J Deneckere and Kenneth L Judd. Cyclical and chaotic behavior in a dynamic equilibrium model, with implications for fiscal policy. Cycles and chaos in economic equilibrium, pages 308–329, 1992.

DS10

Ulrich Doraszelski and Mark Satterthwaite. Computable markov-perfect industry dynamics. The RAND Journal of Economics, 41(2):215–243, 2010.

DLP13

Y E Du, Ehud Lehrer, and A D Y Pauzner. Competitive economy as a ranking device over networks. submitted, 2013.

Dud02

R M Dudley. Real Analysis and Probability. Cambridge Studies in Advanced Mathematics. Cambridge University Press, 2002.

EG87

Robert F Engle and Clive W J Granger. Co-integration and Error Correction: Representation, Estimation, and Testing. Econometrica, 55(2):251–276, 1987.

EP95

Richard Ericson and Ariel Pakes. Markov-perfect industry dynamics: a framework for empirical work. The Review of Economic Studies, 62(1):53–82, 1995.

EH01

G W Evans and S Honkapohja. Learning and Expectations in Macroeconomics. Frontiers of Economic Research. Princeton University Press, 2001.

FSTD15

Pablo Fajgelbaum, Edouard Schaal, and Mathieu Taschereau-Dumouchel. Uncertainty traps. Technical Report, National Bureau of Economic Research, 2015.

FVJ20

Jesús Fernández-Villaverde and Charles I Jones. Estimating and simulating a sird model of covid-19 for many countries, states, and cities. Working Paper 27128, National Bureau of Economic Research, May 2020. URL: http://www.nber.org/papers/w27128, doi:10.3386/w27128.

Fri56

M. Friedman. A Theory of the Consumption Function. Princeton University Press, 1956.

FF98

Milton Friedman and Rose D Friedman. Two Lucky People. University of Chicago Press, 1998.

Gab09

Xavier Gabaix. Power laws in economics and finance. Annual Review of Economics, 1(1):255–294, 2009. doi:10.1146/annurev.economics.050708.142940.

Gal37

Albert Gallatin. Report on the finances**, november, 1807. In Reports of the Secretary of the Treasury of the United States, Vol 1. Government printing office, Washington, DC, 1837.

Hal78

Robert E Hall. Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence. Journal of Political Economy, 86(6):971–987, 1978.

HM82

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.

Ham05

James D Hamilton. What's real about the business cycle? Federal Reserve Bank of St. Louis Review, pages 435–452, 2005.

HS08

L P Hansen and T J Sargent. Robustness. Princeton University Press, 2008.

HS13

L P Hansen and T J Sargent. Recursive Models of Dynamic Linear Economies. The Gorman Lectures in Economics. Princeton University Press, 2013.

Han07

Lars Peter Hansen. Beliefs, Doubts and Learning: Valuing Macroeconomic Risk. American Economic Review, 97(2):1–30, May 2007. URL: https://ideas.repec.org/a/aea/aecrev/v97y2007i2p1-30.html, doi:.

HHL08

Lars Peter Hansen, John C. Heaton, and Nan Li. Consumption Strikes Back? Measuring Long-Run Risk. Journal of Political Economy, 116(2):260–302, 04 2008. URL: https://ideas.repec.org/a/ucp/jpolec/v116y2008i2p260-302.html, doi:.

HR87

Lars Peter Hansen and Scott F Richard. The Role of Conditioning Information in Deducing Testable. Econometrica, 55(3):587–613, May 1987.

HS80

Lars Peter Hansen and Thomas J Sargent. Formulating and estimating dynamic linear rational expectations models. Journal of Economic Dynamics and control, 2:7–46, 1980.

HS00

Lars Peter Hansen and Thomas J Sargent. Wanting robustness in macroeconomics. Manuscript, Department of Economics, Stanford University., 2000.

HS17

Lars Peter Hansen and Thomas J. Sargent. Risk, Uncertainty, and Value. Princeton University Press, Princeton, New Jersey, 2017.

HS09

Lars Peter Hansen and Jose A. Scheinkman. Long-term risk: an operator approach. Econometrica, 77(1):177–234, 01 2009.

HK78

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.

HK79

J. Michael Harrison and David M. Kreps. Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3):381–408, June 1979.

HL96

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.

HSW05

Jane M Heffernan, Robert J Smith, and Lindi M Wahl. Perspectives on the basic reproductive ratio. Journal of the Royal Society Interface, 2(4):281–293, 2005.

HK85

Elhanan Helpman and Paul Krugman. Market structure and international trade. MIT Press Cambridge, 1985.

HLL96

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.

HP92

Hugo A Hopenhayn and Edward C Prescott. Stochastic Monotonicity and Stationary Distributions for Dynamic Economies. Econometrica, 60(6):1387–1406, 1992.

HR93

Hugo A Hopenhayn and Richard Rogerson. Job Turnover and Policy Evaluation: A General Equilibrium Analysis. Journal of Political Economy, 101(5):915–938, 1993.

Hug93

Mark Huggett. The risk-free rate in heterogeneous-agent incomplete-insurance economies. Journal of Economic Dynamics and Control, 17(5-6):953–969, 1993.

Haggstrom02

Olle Häggström. Finite Markov chains and algorithmic applications. Volume 52. Cambridge University Press, 2002.

Janich94

K Jänich. Linear Algebra. Springer Undergraduate Texts in Mathematics and Technology. Springer, 1994.

JYC88

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.

Jud90

K L Judd. Cournot versus bertrand: a dynamic resolution. Technical Report, Hoover Institution, Stanford University, 1990.

Jud85

Kenneth L Judd. On the performance of patents. Econometrica, pages 567–585, 1985.

Kam12

Takashi Kamihigashi. Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence. Technical Report, Kobe University, 2012.

Kre88

David M. Kreps. Notes on the Theory of Choice. Westview Press, Boulder, Colorado, 1988.

Kuh13

Moritz Kuhn. Recursive Equilibria In An Aiyagari-Style Economy With Permanent Income Shocks. International Economic Review, 54:807–835, 2013.

LM94

A Lasota and M C MacKey. Chaos, Fractals, and Noise: Stochastic Aspects of Dynamics. Applied Mathematical Sciences. Springer-Verlag, 1994.

LL01

Martin Lettau and Sydney Ludvigson. Consumption, Aggregate Wealth, and Expected Stock Returns. Journal of Finance, 56(3):815–849, 06 2001.

LL04

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.

LM80

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.

LS18

L Ljungqvist and T J Sargent. Recursive Macroeconomic Theory. MIT Press, 4 edition, 2018.

Luc78

Robert E Lucas, Jr. Asset prices in an exchange economy. Econometrica: Journal of the Econometric Society, 46(6):1429–1445, 1978.

Luc03

Robert E Lucas, Jr. Macroeconomic Priorities. American Economic Review, 93(1):1–14, March 2003. URL: https://www.aeaweb.org/articles?id=10.1257/000282803321455133.

LP71

Robert E Lucas, Jr. and Edward C Prescott. Investment under uncertainty. Econometrica: Journal of the Econometric Society, pages 659–681, 1971.

LS83

Robert E Lucas, Jr. and Nancy L Stokey. Optimal Fiscal and Monetary Policy in an Economy without Capital. Journal of monetary Economics, 12(3):55–93, 1983.

MS89

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.

MdRV10

V Filipe Martins-da-Rocha and Yiannis Vailakis. Existence and Uniqueness of a Fixed Point for Local Contractions. Econometrica, 78(3):1127–1141, 2010.

MCWG95

A Mas-Colell, M D Whinston, and J R Green. Microeconomic Theory. Volume 1. Oxford University Press, 1995.

McC70

J J McCall. Economics of Information and Job Search. The Quarterly Journal of Economics, 84(1):113–126, 1970.

MT09

S P Meyn and R L Tweedie. Markov Chains and Stochastic Stability. Cambridge University Press, 2009.

MF02

Mario J Miranda and P L Fackler. Applied Computational Economics and Finance. Cambridge: MIT Press, 2002.

MB54

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.

Mut60

John F Muth. Optimal properties of exponentially weighted forecasts. Journal of the american statistical association, 55(290):299–306, 1960.

Nea99

Derek Neal. The Complexity of Job Mobility among Young Men. Journal of Labor Economics, 17(2):237–261, 1999.

Orf88

Sophocles J Orfanidis. Optimum Signal Processing: An Introduction. McGraw Hill Publishing, New York, New York, 1988.

Par99

Jonathan A Parker. The Reaction of Household Consumption to Predictable Changes in Social Security Taxes. American Economic Review, 89(4):959–973, 1999.

Per19

Jesse Perla. A model of product awareness and industry life cycles. Working Paper, University of British Columbia, 2019.

Put05

Martin L Puterman. Markov decision processes: discrete stochastic dynamic programming. John Wiley & Sons, 2005.

PalS13

Jenő Pál and John Stachurski. Fitted value function iteration with probability one contractions. Journal of Economic Dynamics and Control, 37(1):251–264, 2013.

Rab02

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.

Ram27

F. P. Ramsey. A Contribution to the theory of taxation. Economic Journal, 37(145):47–61, 1927.

Rei09

Michael Reiter. Solving heterogeneous-agent models by projection and perturbation. Journal of Economic Dynamics and Control, 33(3):649–665, 2009.

Rom05

Steven Roman. Advanced linear algebra. Volume 3. Springer, 2005.

Roz67

Y. A. Rozanov. Stationary Random Processes. Holden-Day, San Francisco, 1967.

Rus96

John Rust. Numerical dynamic programming in economics. Handbook of computational economics, 1:619–729, 1996.

Rya12

Stephen P Ryan. The costs of environmental regulation in a concentrated industry. Econometrica, 80(3):1019–1061, 2012.

Sar87

Thomas J Sargent. Macroeconomic Theory. Academic Press, New York, 2nd edition, 1987.

SE77

Jack Schechtman and Vera L S Escudero. Some results on an income fluctuation problem. Journal of Economic Theory, 16(2):151–166, 1977.

Sch14

Jose A. Scheinkman. Speculation, Trading, and Bubbles. Columbia University Press, New York, 2014.

Sch69

Thomas C Schelling. Models of Segregation. American Economic Review, 59(2):488–493, 1969.

Shi95

A N Shiryaev. Probability. Graduate Texts in Mathematics. Springer, 2nd edition, 1995.

SR14

Alexander A. Stepanov and Daniel E. Rose. From mathematics to generic programming. Addison-Wesley, 2014. ISBN 978-0-321-94204-3.

SLP89

N L Stokey, R E Lucas, and E C Prescott. Recursive Methods in Economic Dynamics. Harvard University Press, 1989.

STY04

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.

Sun96

R K Sundaram. A First Course in Optimization Theory. Cambridge University Press, 1996.

Tal00

Thomas D Tallarini. Risk-sensitive real business cycles. Journal of Monetary Economics, 45(3):507–532, June 2000.

Tau86

George Tauchen. Finite state markov-chain approximations to univariate and vector autoregressions. Economics Letters, 20(2):177–181, 1986.

VL11

Ngo Van Long. Dynamic games in the economics of natural resources: a survey. Dynamic Games and Applications, 1(1):115–148, 2011.

Wal47

Abraham Wald. Sequential Analysis. John Wiley and Sons, New York, 1947.

Whi63

Peter Whittle. Prediction and regulation by linear least-square methods. English Univ. Press, 1963.

Whi83

Peter Whittle. Prediction and Regulation by Linear Least Squares Methods. University of Minnesota Press, Minneapolis, Minnesota, 2nd edition, 1983.

YS05

G Alastair Young and Richard L Smith. Essentials of statistical inference. Cambridge University Press, 2005.