NATIONAL BUREAU OF ECONOMIC RESEARCH

# Dan Cao

Department of Economics
Georgetown University
ICC 580
37th and O Sts., NW
Washington, DC 20057
Tel: 6179599187

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Institutional Affiliation: Georgetown University

## NBER Working Papers and Publications

 January 2018 Saving and Dissaving with Hyperbolic Discounting with Iván Werning: w24257 Is the standard hyperbolic-discounting model capable of robust qualitative predictions for savings behavior? Despite results suggesting a negative answer, we provide a positive one. We give conditions under which all Markov equilibria display either saving at all wealth levels or dissaving at all wealth levels. Moreover, saving versus dissaving is determined by a simple condition comparing the interest rate to a threshold made up of impatience parameters only. Our robustness results illustrate a well-behaved side of the model and imply that qualitative behavior is determinate, dissipating indeterminacy concerns to the contrary (Krusell and Smith, 2003). We prove by construction that equilibria always exist and that multiplicity is present in some cases, highlighting that our robust predict...Published: Dan Cao & IvÃ¡n Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May. citation courtesy of February 2016 Dynamic Savings Choices with Disagreements with Iván Werning: w22007 We study a flexible dynamic savings game in continuous time, where decision makers rotate in and out of power. These agents value spending more highly while in power creating a time-inconsistency problem. We provide a sharp characterization of Markov equilibria. Our analysis proceeds by construction and isolates the importance of a local disagreement index, beta(c), defined as the ratio of marginal utility for those in and out of power. If disagreement is constant the model specializes to hyperbolic discounting. We also provide novel results for this case, offering a complete and simple characterization of equilibria. For the general model we shoe that... September 2010 Innovation by Entrants and Incumbents with Daron Acemoglu: w16411 We extend the basic Schumpeterian endogenous growth model by allowing incumbents to undertake innovations to improve their products, while entrants engage in more "radical" innovations to replace incumbents. Our model provides a tractable framework for the analysis of growth driven by both entry of new firms and productivity improvements by continuing firms. Unlike in the basic Schumpeterian models, subsidies to potential entrants might decrease economic growth because they discourage productivity improvements by incumbents in response to reduced entry, which may outweigh the positive effect of greater creative destruction. As the model features entry of new firms and expansion and exit of existing firms, it also generates a non-degenerate equilibrium firm size distribution. We show that, ...Published: Acemoglu, Daron & Cao, Dan, 2015. "Innovation by entrants and incumbents," Journal of Economic Theory, Elsevier, vol. 157(C), pages 255-294. citation courtesy of

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