My work covers dynamic optimization with a focus on showing existence and uniqueness of equilibria under nonstandard discounting conditions.
Coase Meets Bellman: Dynamic Programming for Production Networks with Tomoo Kikuchi, Kazuo Nishimura, and John Stachurski
Journal of Economic Theory, Forthcoming
We show that competitive equilibria in a range of models related to production networks can be recovered as solutions to dynamic programs. Although these programs fail to be contractive, we prove that they are tractable. As an illustration, we treat Coase’s theory of the firm, equilibria in production chains with transaction costs, and equilibria in production networks with multiple partners. We then show how the same techniques extend to other equilibrium and decision problems, such as the distribution of management layers within firms and the spatial distribution of cities.
Dynamic Programming with State-Dependent Discounting with John Stachurski
Journal of Economic Theory 192 (2021): 105190
This paper extends the core results of discrete time infinite horizon dynamic programming to the case of state-dependent discounting. We obtain a condition on the discount factor process under which all of the standard optimality results can be recovered. We also show that the condition cannot be significantly weakened. Our framework is general enough to handle complications such as recursive preferences and unbounded rewards. Economic and financial applications are discussed.
Equilibrium in Production Chains with Multiple Upstream Partners with Meng Yu
Journal of Mathematical Economics 83 (2019): 1-10
In this paper, we extend and improve the production chain model introduced by Kikuchi et al. (2018). Utilizing the theory of monotone concave operators, we prove the existence, uniqueness, and global stability of equilibrium price, hence improving their results on production networks with multiple upstream partners. We propose an algorithm for computing the equilibrium price function that is more than ten times faster than successive evaluations of the operator. The model is then generalized to a stochastic setting that offers richer implications for the distribution of firms in a production network.
The Substitution and Pervasiveness Effects of ICT on China’s Economic Growth (in Chinese) with Yuezhou Cai
经济研究 / Economic Research Journal 12 (2015): 100-114