Moser, Christian and Olea de Souza e Silva, Pedro (2019): Optimal Paternalistic Savings Policies.
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Abstract
Abstract We study optimal savings policies when there is a dual concern about undersaving for retirement and income inequality. Agents differ in present bias and earnings ability, both unobservable to a planner with paternalistic and redistributive motives. We characterize the solution to this two-dimensional screening problem and provide a decentralization using realistic policy instruments: mandatory savings at low incomes but a choice between subsidized savings vehicles at high incomes—resembling Social Security, 401(k), and IRA accounts in the US. Offering more savings choice at higher incomes facilitates redistribution. To solve large-scale versions of this problem numerically, we propose a general, computationally stable, and efficient active-set algorithm. Relative to the current US retirement system, we find significant welfare gains from increasing mandatory savings and limiting savings choice at low incomes.
Item Type: | MPRA Paper |
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Original Title: | Optimal Paternalistic Savings Policies |
Language: | English |
Keywords: | Optimal Taxation, Multidimensional Screening, Present Bias, Preference Heterogeneity, Paternalism, Retirement, Savings, Social Security, Active-Set Algorithm |
Subjects: | E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E60 - General E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E62 - Fiscal Policy H - Public Economics > H2 - Taxation, Subsidies, and Revenue H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H20 - General H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H21 - Efficiency ; Optimal Taxation H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H23 - Externalities ; Redistributive Effects ; Environmental Taxes and Subsidies H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H24 - Personal Income and Other Nonbusiness Taxes and Subsidies H - Public Economics > H5 - National Government Expenditures and Related Policies H - Public Economics > H5 - National Government Expenditures and Related Policies > H55 - Social Security and Public Pensions |
Item ID: | 95383 |
Depositing User: | Christian Moser |
Date Deposited: | 03 Aug 2019 10:27 |
Last Modified: | 29 Sep 2019 14:03 |
References: | Aguiar, Mark and Erik Hurst, “Consumption versus Expenditure,” Journal of Political Economy, 2005, 113 (5), 919–948. Aguiar, Mark and Manuel Amador, “Growth in the Shadow of Expropriation,” Quarterly Journal of Economics, 2011, 126 (2), 651–697. Amador, Manuel, George-Marios Angeletos, and Iván Werning, “Redistribution and Corrective Taxation,” Working Paper, 2004. Amador, Manuel, Iván Werning, and George-Marios Angeletos, “Commitment vs. Flexibility,” Econometrica, 2006, 74 (2), 365–396. Angeletos, George-Marios, David Laibson, Andrea Repetto, Jeremy Tobacman, and Stephen Weinberg, “The Hyperbolic Consumption Model: Calibration, Simulation, and Empirical Evaluation,” Journal of Economic Perspectives, 2001, 15 (3), 47–68. Aon Hewitt, “2015 Trends & Experience in Defined Contribution Plans,” 2015. Arias, Elizabeth, “United States Life Tables, 2006,” National Vital Statistics Reports, 2010, 58 (21). Armstrong, Mark, “Multiproduct Nonlinear Pricing,” Econometrica, 1996, 64 (1), 51–75. Armstrong, Mark and Jean-Charles Rochet, “Multi-Dimensional Screening: A User’s Guide,” European Economic Review, 1999, 43 (4), 959–979. Ashraf, Nava, Dean Karlan, and Wesley Yin, “Tying Odysseus to the Mast: Evidence from a Commitment Savings Product in the Philippines,” Quarterly Journal of Economics, 2006, 121 (2), 635–672. Athey, Susan, Andrew Atkeson, and Patrick J Kehoe, “The Optimal Degree of Discretion in Monetary Policy,” Econometrica, 2005, 73 (5), 1431–1475. Atkeson, Andrew, V. V. Chari, and Patrick J. Kehoe, “Taxing Capital Income: A Bad Idea,” Federal Reserve Bank of Minneapolis Quarterly Review, 1999, 23 (3), 3–17. Atkinson, Anthony B and Joseph E Stiglitz, “The Structure of Indirect Taxation and Economic Efficiency,” Journal of Public Economics, 1972, 1 (1), 97–119. Augenblick, Ned, Muriel Niederle, and Charles Sprenger, “Working over Time: Dynamic In- consistency in Real Effort Tasks,” Quarterly Journal of Economics, 2015, 130 (3), 1067–1115. Battaglini, Marco and Rohit Lamba, “Optimal Dynamic Contracting: The First-Order Approach and Beyond,” Working Paper, 2018. Bénabou, Roland, “Tax and Education Policy in a Heterogeneous-Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?,” Econometrica, 2002, 70 (2), 481–517. Bernheim, B. Douglas and Dmitry Taubinsky, “Behavioral Public Economics,” in B. Douglas Bernheim, Stefano DellaVigna, and David Laibson, eds., Handbook of Behavioral Economics, Vol. 1, Amsterdam: Elsevier B.V, 2018, chapter 5, pp. 381–516. Bernheim, B. Douglas, Jonathan Skinner, and Steven Weinberg, “What Accounts for the Variation in Retirement Wealth among U.S. Households?,” American Economic Review, 2001, 91 (4), 832–857. Beshears, John, James J. Choi, Christopher Harris, David Laibson, Brigitte C. Madrian, and Jung Sakong, “Self Control and Commitment: Can Decreasing the Liquidity of a Savings Account Increase Deposits?,” NBER Working Paper No. 21474, 2015. Beshears, John, James J. Choi, David Laibson, and Brigitte C. Madrian, “Behavioral Household Finance,” in B. Douglas Bernheim, Stefano DellaVigna, and David Laibson, eds., Handbook of Behavioral Economics, Amsterdam: Elsevier B.V, 2018, chapter 3, pp. 177–276. Biggs, Andrew G. and Glenn R. Springstead, “Alternate Measures of Replacement Rates for Social Security Benefits and Retirement Income,” Social Security Bulletin, 2008, 68 (2). Bourguignon, François and Amedeo Spadaro, “Tax-Benefit Revealed Social Preferences,” The Journal of Economic Inequality, 2012, 10 (1), 75–108. Boyd, Stephen and Lieven Vandenberghe, Convex Optimization, Cambridge: Cambridge University Press, 2004. Browning, Martin and Annamaria Lusardi, “Household Saving: Micro Theories and Micro Facts,” Journal of Economic Literature, 1996, 34 (4), 1797–1855. Buchanan, J. M., “The Samaritan’s Dilemma,” in E.S. Phelps, ed., Altruism, Morality and Economic Theory, New York: Russel Sage Foundation, 1975, pp. 71–85. Burks, Stephen V., Jeffrey P. Carpenter, Lorenz Goette, and Aldo Rustichini, “Cognitive Skills Affect Economic Preferences, Strategic Behavior, and Job Attachment,” Proceedings of the National Academy of Sciences of the United States of America, 2009, 106 (19), 7745–7750. Caplin, Andrew and John Leahy, “The Social Discount Rate,” Journal of Political Economy, 2004, 112 (6), 1257–1268. Carroll, Christopher, Jiri Slacalek, Kiichi Tokuoka, and Matthew N. White, “The Distribution of Wealth and the Marginal Propensity to Consume,” Quantitative Economics, 2017, 8 (3), 977–1020. Carroll, Gabriel, “When Are Local Incentive Constraints Sufficient?,” Econometrica, 2012, 80 (2), 661–686. Carroll, Gabriel, “Robustness and Separation in Multidimensional Screening,” Econometrica, 2017, 85 (2), 453– 488. Chamley, Christophe, “Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives,” Econometrica, 1986, 54 (3), 607–622. Chan, Marc K., “Welfare Dependence and Self-Control: An Empirical Analysis,” Review of Economic Studies, 2017, 84 (4), 1379–1423. Cheney, Ward and Allen A. Goldstein, “Proximity Maps for Convex Sets,” Proceedings of the American Mathematical Society, 1959, 10, 448–450. Chetty, Raj, Adam Looney, and Kory Kroft, “Salience and Taxation: Theory and Evidence,” American Economic Review, 2009, 99 (4), 1145–1177. Chetty, Raj, Michael Stepner, Sarah Abraham, Shelby Lin, Benjamin Scuderi, Nicholas Turner, Augustin Bergeron, and David Cutler, “The Association between Income and Life Expectancy in the United States, 2001-2014,” JAMA, 2016, 315 (16), 1750. Choi, James J., “Contributions to Defined Contribution Pension Plans,” Annual Review of Financial Economics, 2015, 7, 161–178. Cremer, Helmuth, Philippe De Donder, Dario Maldonado, and Pierre Pestieau, “Forced Saving, Redistribution, and Nonlinear Social Security Schemes,” Southern Economic Journal, 2009, 76 (1), 86–98. Cronqvist, Henrik and Stephan Siegel, “The Origins of Savings Behavior,” Journal of Political Economy, 2015, 123 (1), 123–169. De Nardi, Mariacristina, “Wealth Inequality and Intergenerational Links,” Review of Economic Studies, 2004, 71 (3), 743–768. De Nardi, Mariacristina and Giulio Fella, “Saving and Wealth Inequality,” Review of Economic Dynamics, 2017, 26, 280–300. De Nardi, Mariacristina, Svetlana Pashchenko, and Ponpoje Porapakkarm, “The Lifetime Costs of Bad Health,” NBER Working Paper No. 23963, 2018. Diamond, Peter A., “A Framework for Social Security Analysis,” Journal of Public Economics, 1977, 8 (3), 275–298. Diamond, Peter A., “Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates,” American Economic Review, 1998, 88 (1), 83–95. Diamond, Peter and Johannes Spinnewijn, “Capital Income Taxes with Heterogeneous Discount Rates,” American Economic Journal: Economic Policy, 2011, 3 (4), 52–76. Doepke, Matthias and Fabrizio Zilibotti, “Parenting with Style: Altruism and Paternalism in Intergenerational Preference Transmission,” Econometrica, 2017, 85 (5), 1331–1371. Dynan, Karen E., Jonathan Skinner, and Stephen P. Zeldes, “Do the Rich Save More?,” Journal of Political Economy, 2004, 112 (2), 397–444. Engen, Eric M., William G. Gale, and Cori E. Uccello, “Lifetime Earnings, Social Security Benefits, and the Adequacy of Retirement Wealth Accumulation,” Social Security Bulletin, 2005, 66 (1), 38. Esteban, Susanna and Eiichi Miyagawa, “Optimal Menu of Menus with Self-Control Preferences,” Working Paper, 2004. Falk, Armin, Anke Becker, Thomas Dohmen, Benjamin Enke, David Huffman, and Uwe Sunde, “Global Evidence on Economic Preferences,” Quarterly Journal of Economics, 2018, 133 (4), 1645–1692. Farhi, Emmanuel and Iván Werning, “Inequality and Social Discounting,” Journal of Political Economy, 2007, 115 (3), 365–402. Farhi, Emmanuel and Iván Werning, “Progressive Estate Taxation,” Quarterly Journal of Economics, 2010, 125 (2), 635–673. Farhi, Emmanuel and Iván Werning, “Capital Taxation: Quantitative Explorations of the Inverse Euler Equation,” Journal of Political Economy, 2012, 120 (3), 398–445. Farhi, Emmanuel and Iván Werning, “Estate Taxation with Altruism Heterogeneity,” American Economic Review, 2013, 103(3), 489–495. Farhi, Emmanuel and Iván Werning, “Insurance and Taxation over the Life Cycle,” Review of Economic Studies, 2013, 80 (2), 596–635. Farhi, Emmanuel, Iván Werning, and Xavier Gabaix, “Optimal Taxation with Behavioral Agents,” Working Paper, 2018. Feenberg, Daniel and Elisabeth Coutts, “An Introduction to the TAXSIM Model,” Journal of Policy Analysis and Management, 1993, 12 (1), 189–194. Feldstein, Martin and Jeffrey B. Liebman, “Social Security,” in Alan J. Auerbach and Martin Feldstein, eds., Handbook of Public Economics, Vol. 4, Amsterdam, North Holland: Elsevier, 2002, chapter 32, pp. 2245–2324. Feldstein, Martin S., “The Effects of Taxation on Risk Taking,” Journal of Political Economy, 1969, pp. 755–764. Feldstein, Martin S., “The Optimal Level of Social Security Benefits,” Quarterly Journal of Economics, 1985, 100 (2), 303–320. Fernandes, Ana and Christopher Phelan, “A Recursive Formulation for Repeated Agency with History Dependence,” Journal of Economic Theory, 2000, 91 (2), 223–247. Financial Engines, “Missing Out: How Much Employer 401(K) Matching Contributions Do Employees Leave on the Table?,” Technical Report, Financial Engines 2015. Friedman, Milton, “Choice, Chance, and the Personal Distribution of Income,” Journal of Political Economy, 1953, 61 (4), 277–290. Galperti, Simone, “Commitment, Flexibility, and Optimal Screening of Time Inconsistency,” Econometrica, 2015, 83 (4), 1425–1465. Golosov, Mikhail, Aleh Tsyvinski, and Nicolas Werquin, “A Variational Approach to the Analysis of Tax Systems,” Working Paper, 2014. Golosov, Mikhail, Aleh Tsyvinski, “Designing Optimal Disability Insurance: A Case for Asset Testing,” Journal of Political Economy, 2006, 114 (2), 257–279. Golosov, Mikhail, Maxim Troshkin, Aleh Tsyvinski, and Matthew Weinzierl, “Preference Heterogeneity and Optimal Capital Income Taxation,” Journal of Public Economics, 2013, 97, 160–175. Golosov, Mikhail, Maxim Troshkin, Aleh Tsyvinski, “Redistribution and Social Insurance,” American Economic Review, 2016, 106 (2), 359–386. Golosov, Mikhail, Narayana Kocherlakota, and Aleh Tsyvinski, “Optimal Indirect and Capital Taxation,” Review of Economic Studies, 2003, 70 (3), 569–587. Gourinchas, Pierre-Olivier and Jonathan A. Parker, “Consumption over the Life Cycle,” Econometrica, 2002, 70 (1), 47–89. Gruber, Jonathan and Botond Köszegi, “Tax Incidence When Individuals Are Time-Inconsistent: The Case of Cigarette Excise Taxes,” Journal of Public Economics, 2004, 88 (9-10), 1959–1987. Halac, Marina and Pierre Yared, “Fiscal Rules and Discretion under Persistent Shocks,” Econometrica, 2014, 82 (5), 1557–1614. Halac, Marina and Pierre Yared, “Fiscal Rules and Discretion in a World Economy,” American Economic Review, 2018, 108 (8), 2305–2234. Hartline, Jason D., “Bayesian Mechanism Design,” Foundations and Trends in Theoretical Computer Science, 2013, 8 (3), 143–263. Hassler, John, Per Krusell, Kjetil Storesletten, and Fabrizio Zilibotti, “On the Optimal Timing of Capital Taxes,” Journal of Monetary Economics, 2008, 55 (4), 692–709. Heathcote, Jonathan and Hitoshi Tsujiyama, “Optimal Income Taxation: Mirrlees Meets Ramsey,” Working Paper, 2017. Heathcote, Jonathan, Kjetil Storesletten, and Giovanni L. Violante, “Optimal Tax Progressivity: An Analytical Framework,” The Quarterly Journal of Economics, 2017, 132 (4), 1693–1754. Hendricks, Lutz, “How Important Is Discount Rate Heterogeneity for Wealth Inequality?,” Journal of Economic Dynamics and Control, 2007, 31 (9), 3042–3068. Hosseini, Roozbeh and Ali Shourideh, “Retirement Financing: An Optimal Reform Approach,” Working Paper, 2018. Internal Revenue Service, “Publication 590-A (2017), Contributions to Individual Retirement Arrangements (IRAs),” 2018. Jacobs, Bas, Egbert L. W. Jongen, and Floris T. Zoutman, “Revealed Social Preferences of Dutch Political Parties,” Journal of Public Economics, 2017, 156, 81–100. Jacquet, Laurence, Etienne Lehmann, and Bruno Van der Linden, “Optimal Redistributive Taxation with Both Extensive and Intensive Responses,” Journal of Economic Theory, sep 2013, 148 (5), 1770–1805. Jones, Damon and Aprajit Mahajan, “Time-Inconsistency and Saving: Experimental Evidence from Low-Income Tax Filers,” NBER Working Paper No. 21272, 2015, (21272). Judd, Kenneth L., “Short-Run Analysis of Fiscal Policy in a Simple Perfect Foresight Model,” Journal of Political Economy, 1985, 93 (2), 298–319. Judd, Kenneth L., Ding Ma, Michael A. Saunders, and Che-Lin Su, “Optimal Income Taxation with Multidimensional Taxpayer Types,” Working Paper, 2018. Kapička, Marek, “Efficient Allocations in Dynamic Private Information Economies with Persistent Shocks: A First-Order Approach,” Review of Economic Studies, 2013, 80, 1027–1054. Kaur, Supreet, Michael Kremer, and Sendhil Mullainathan, “Self-Control at Work,” Journal of Political Economy, 2015, 123 (6), 1227–1277. Kleven, Henrik Jacobsen, Claus Thustrup Kreiner, and Emmanuel Saez, “The Optimal Income Taxation of Couples,” Econometrica, 2009, 77 (2), 537–560. Kotlikoff, Laurence J., “Privatizing Social Security at Home and Abroad,” American Economic Review, 1996, 86 (2), 368–372. Kotlikoff, Laurence J., Avia Spivak, and Lawrence H. Summers, “The Adequacy of Savings,” American Economic Review, 1982, 72 (5), 1056–1069. Krusell, Per and Anthony A. Smith, Jr., “Income and Wealth Heterogeneity in the Macroeconomy,” Journal of Political Economy, 1998, 106 (5), 867–896. Laibson, David, “Golden Eggs and Hyperbolic Discounting,” Quarterly Journal of Economics, 1997, 112 (2), 443–478. Laibson, David I., Andrea Repetto, and Jeremy Tobacman, “Self-Control and Saving for Retirement,” Brookings Papers on Economic Activity, 1998, 29 (1), 91–196. Laibson, David, Peter Maxted, Andrea Repetto, and Jeremy Tobacman, “Estimating Discount Functions with Consumption Choices over the Lifecycle,” Working Paper, 2017. Lansing, Kevin J., “Optimal Redistributive Capital Taxation in a Neoclassical Growth Model,” Journal of Public Economics, 1999, 73 (3), 423–453. Lockwood, Benjamin B., “Optimal Income Taxation with Present Bias,” Working Paper, 2016. Lockwood, Benjamin B. and Dmitry Taubinsky, “Regressive Sin Taxes,” NBER Working Paper No. 23085, 2017. Lockwood, Benjamin B. and Matthew Weinzierl, “Positive and Normative Judgments Implicit in U.S. Tax Policy, and the Costs of Unequal Growth and Recessions,” Journal of Monetary Economics, 2016, 77, 30–47. Marglin, Stephen A., “The Social Rate of Discount and the Optimal Rate of Investment,” Quarterly Journal of Economics, 1963, 77 (1), 95–111. McAfee, R. Preston and John McMillan, “Multidimensional Incentive Compatibility and Mechanism Design,” Journal of Economic Theory, 1988, 46 (2), 335–354. Meghir, Costas and Luigi Pistaferri, “Income Variance Dynamics and Heterogeneity,” Econometrica, 2004, 72 (1), 1–32. Meier, Stephan and Charles D. Sprenger, “Temporal Stability of Time Preferences,” Review of Economics and Statistics, 2015, 97 (2), 273–286. Mirrlees, J. A., “Optimal Tax Theory: A Synthesis,” Journal of Public Economics, 1976, 6 (4), 327–358. Mirrlees, James A., “An Exploration in the Theory of Optimum Income Taxation,” Review of Economic Studies, 1971, 38 (2), 175–208. Mitchell, Olivia S., James M. Poterba, Mark J. Warshawsky, and Jeffrey R. Brown, “New Evidence on the Money’s Worth of Individual Annuities,” American Economic Review, 1999, 89 (5), 1299–1318. Montiel Olea, José Luis and Tomasz Strzalecki, “Axiomatization and Measurement of Quasi- Hyperbolic Discounting,” Quarterly Journal of Economics, 2014, 129 (3), 1449–1499. Myerson, Roger B., “Optimal Auction Design,” Mathematics of Operations Research, 1981, 6 (1), 58–73. Ndiaye, Abdoulaye, “Flexible Retirement and Optimal Taxation,” Federal Reserve Bank of Chicago Working Paper No. 2018-18, 2018. Nocedal, Jorge. and Stephen J. Wright, Numerical Optimization, 2 ed., New York: Springer-Verlag, 2006. O’Donoghue, Ted and Matthew Rabin, “Studying Optimal Paternalism, Illustrated by a Model of Sin Taxes,” American Economic Review, 2003, 93 (2), 186–191. O’Donoghue, Ted and Matthew Rabin, “Optimal Sin Taxes,” Journal of Public Economics, 2006, 90 (10-11), 1825–1849. Ok, Efe A., Real Analysis with Economic Applications, Princeton, NJ: Princeton University Press, 2007. Olafsson, Arna and Michaela Pagel, “The Retirement-Consumption Puzzle: New Evidence from Personal Finances,” NBER Working Paper No. 24405, 2018. Paserman, M Daniele, “Job Search and Hyperbolic Discounting: Structural Estimation and Policy Evaluation,” Economic Journal, 2008, 118 (531), 1418–1452. Pass, Brendan, “Convexity and Multi-Dimensional Screening for Spaces with Different Dimensions,” Journal of Economic Theory, 2012, 147 (6), 2399–2418. Pavoni, Nicola and Hakki Yazici, “Intergenerational Disagreement and Optimal Taxation of Parental Transfers,” Review of Economic Studies, 2017, 84 (3), 1264–1305. Phelan, Christopher and Aldo Rustichini, “Pareto Efficiency and Identity,” Theoretical Economics, 2018, 13 (3), 979–1007. Phelan, Christopher and Ennio Stacchetti, “Sequential Equilibria in a Ramsey Tax Model,” Econometrica, 2001, 69(6), 1491–1518. Phelps, E. S. and R. A. Pollak, “On Second-Best National Saving and Game-Equilibrium Growth,” Review of Economic Studies, 1968, 35 (2), 185. Piketty, Thomas and Emmanuel Saez, “A Theory of Optimal Inheritance Taxation,” Econometrica, 2013, 81 (5), 1851–1886. Prescott, Edward C., “It’s Irrational to Save,” Wall Street Journal, 2004. Rochet, Jean-Charles, “A Necessary and Sufficient Condition for Rationalizability in a Quasi- Linear Context,” Journal of Mathematical Economics, 1987, 16 (2), 191–200. Rochet, Jean-Charles and Lars A. Stole, “Nonlinear Pricing with Random Participation,” Review of Economic Studies, 2002, 69 (1), 277–311. Rochet, Jean-Charles and Lars A. Stole, “The Economics of Multidimensional Screening,” in Mathias Dewatripont, Lars Peter Hansen, and Stephen J. Turnovsky, eds., Advances in Economics and Econometrics, Cambridge: Cambridge University Press, 2003, pp. 150–197. Rochet, Jean-Charlesand Philippe Choné, “Ironing, Sweeping, and Multidimensional Screening,” Econometrica, 1998, 66 (4), 783–826. Rogerson, William P., “The First-Order Approach to Principal-Agent Problems,” Econometrica, 1985, 53 (6), 1357–1367. Rothschild, Casey and Florian Scheuer, “Redistributive Taxation in the Roy Model,” Quarterly Journal of Economics, 2013, 128 (2), 623–668. Rothschild, Casey and Florian Scheuer, “A Theory of Income Taxation under Multidimensional Skill Heterogeneity,” CESifo Working Paper Series, 2015. Rothschild, Casey and Florian Scheuer, “Optimal Taxation with Rent-Seeking,” Review of Economic Studies, 2016, 83 (3), 1225– 1262. Rudin, Walter, Principles of Mathematical Analysis, 3 ed., McGraw-Hill, Inc., 1976. Saez, Emmanuel, “Using Elasticities to Derive Optimal Income Tax Rates,” Review of Economic Studies, 2001, 68 (1), 205. Saez, Emmanuel, “The Desirability of Commodity Taxation under Non-Linear Income Taxation and Heterogeneous Tastes,” Journal of Public Economics, 2002, 83 (2), 217–230. Saez, Emmanuel, “Optimal Progressive Capital Income Taxes in the Infinite Horizon Model,” Journal of Public Economics, 2013, 97, 61–74. Sleet, Christopher and Sevin Yeltekin, “Credibility and Endogenous Societal Discounting,” Review of Economic Dynamics, 2006, 9 (3), 410–437. Social Security Administration, “Annual Statistical Supplement, 2018 - Summary of OASDI Benefits in Current-Payment Status (Table 5.A1),” 2018. Solodov, Mikhail V., “Constraint Qualifications,” in “Wiley Encyclopedia of Operations Research and Management Science,” Hoboken, NJ: John Wiley & Sons, Inc., 2011. Stantcheva, Stefanie, “Optimal Taxation and Human Capital Policies over the Life Cycle,” NBER Working Paper No. 21207, 2015. Stantcheva, Stefanie, “Comment on ’Positive and Normative Judgments Implicit in U.S. Tax Policy and the Costs of Unequal Growth and Recessions’ by Benjamin Lockwood and Matthew Weinzierl,” Journal of Monetary Economics, 2016, 77, 48–52. Straub, Ludwig and Iván Werning, “Positive Long Run Capital Taxation: Chamley-Judd Revisited,” NBER Working Paper No. 20441, 2018. Strotz, R. H., “Myopia and Inconsistency in Dynamic Utility Maximization,” Review of Economic Studies, 1955, 23 (3), 165–180. Tanaka, Tomomi, Colin F. Camerer, and Quang Nguyen, “Risk and Time Preferences: Linking Experimental and Household Survey Data from Vietnam,” American Economic Review, 2010, 100 (1), 557–571. Tenhunen, Sanna and Matti Tuomala, “On Optimal Lifetime Redistribution Policy,” Journal of Public Economic Theory, 2010, 12 (1), 171–198. Tuomala, Matti, Optimal Income Tax and Redistribution, Oxford: Oxford University Press, 1990. Tversky, A. and D. Kahneman, “Judgment under Uncertainty: Heuristics and Biases,” Science, 1974, 185 (4157), 1124–1131. U.S. Bureau of Labor Statistics, “Consumer Price Index for All Urban Consumers: All Items [CPIAUCSL],” 2018. Venti, Steven and David Wise, “The Cause of Wealth Dispersion at Retirement: Choice or Chance?,” American Economic Review, 1998, 88 (2), 185–191. Wachsmuth, Gerd, “On LICQ and the Uniqueness of Lagrange Multipliers,” Operations Research Letters, 2013, 41 (1), 78–80. Wächter, Andreas and Lorenz T. Biegler, “On the Implementation of an Interior-Point Filter Line- Search Algorithm for Large-Scale Nonlinear Programming,” Mathematical Programming, 2006, 106 (1), 25–57. Werning, Iván, “Nonlinear Capital Taxation,” Working Paper, 2011. Yu, Pei Cheng, “Optimal Retirement Policies,” Working Paper, 2016. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/95383 |