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Related papers: Fiscal stimulus as an optimal control problem

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We develop a perfect foresight method to solve models with an interest rate lower bound constraint that nests OccBin/DynareOBC and \cite{Eggertsson2010}'s as well as \cite{Mertens2014}'s pen and paper solutions as special cases. Our method…

General Economics · Economics 2025-09-04 Chunbing Cai , Jordan Roulleau-Pasdeloup , Zhongxi Zheng

We present a method for optimal control with respect to a linear cost function for positive linear systems with coupled input constraints. We show that the optimal cost function and resulting sparse state feedback for these systems can be…

Optimization and Control · Mathematics 2023-11-07 David Ohlin , Emma Tegling , Anders Rantzer

We study consumption stimulus with digital coupons, which provide time-limited subsidies contingent on minimum spending. We analyze a large-scale program in China and present five main findings: (1) the program generates large short-term…

General Economics · Economics 2025-07-03 Ying Chen , Mingyi Li , Jiaming Mao , Jingyi Zhou

How does the monetary and fiscal policy mix alter households' saving incentives? To answer these questions, we build a heterogenous agents New Keynesian model where three different types of agents can save in assets with different liquidity…

General Economics · Economics 2025-01-30 Cristiano Cantore , Edoardo Leonardi

We investigate the dynamics of wealth inequality in an economy where households have positional preferences, with the strength of the positional concern determined endogenously by inequality of wealth distribution in the society. We…

Theoretical Economics · Economics 2021-07-02 Kirill Borissov , Nigar Hashimzade

We consider a regulator willing to drive individual choices towards increasing social welfare by providing incentives to a large population of individuals. For that purpose, we formalize and solve the problem of finding an optimal…

Econometrics · Economics 2022-10-04 Lucas Javaudin , Andrea Araldo , André de Palma

We deal with an infinite horizon, infinite dimensional stochastic optimal control problem arising in the study of economic growth in time-space. Such problem has been the object of various papers in deterministic cases when the possible…

Optimization and Control · Mathematics 2022-03-14 Fausto Gozzi , Marta Leocata

We demonstrate by mathematical analysis and systematic computer simulations that redistribution can lead to sustainable growth in a society. The human capital dynamics of each agent is described by a stochastic multiplicative process which,…

General Finance · Quantitative Finance 2015-06-11 Jan Lorenz , Fabian Paetzel , Frank Schweitzer

The optimal stopping problem is a category of decision problems with a specific constrained configuration. It is relevant to various real-world applications such as finance and management. To solve the optimal stopping problem,…

Computational Finance · Quantitative Finance 2022-08-02 Leonardo Kanashiro Felizardo , Elia Matsumoto , Emilio Del-Moral-Hernandez

We analyze the optimal strategy for a government to promote large-scale investment projects under information frictions. Specifically, we propose a model where the government collects information on probability of each investment and…

Theoretical Economics · Economics 2021-05-21 Keeyoung Rhee , Myungkyu Shim , Ji Zhang

With the fragmentation of electronic markets, exchanges are now competing in order to attract trading activity on their platform. Consequently, they developed several regulatory tools to control liquidity provision / consumption on their…

Optimization and Control · Mathematics 2022-10-17 Bastien Baldacci , Philippe Bergault

What is the best macroprudential regulation when households differ in their exposure to profits from the financial sector? To answer the question, I study a real business cycle model with household heterogeneity and market incompleteness.…

General Economics · Economics 2025-09-16 Mikayel Sukiasyan

We consider a stochastic control problem which is composed of a controlled stochastic differential equation, and whose associated cost functional is defined through a controlled backward stochastic differential equation. Under appropriate…

Probability · Mathematics 2009-02-17 Rainer Buckdahn , Boubakeur Labed , Catherine Rainer , Lazhar Tamer

We introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density among the population. Our analysis is based on a finite time…

Physics and Society · Physics 2018-10-25 Bertram Düring , Lorenzo Pareschi , Giuseppe Toscani

The following measures against unemployment are proposed: In the short term, to promote greater income for the poorest sectors. It is shown that this can be paid with the resulting increased production, without losing income to the other…

Economics · Quantitative Finance 2017-08-23 Thomas Pedro Eggarter

This paper investigates optimal consumption in the stochastic Ramsey problem with the Cobb-Douglas production function. Contrary to prior studies, we allow for general consumption processes, without any a priori boundedness constraint. A…

Optimization and Control · Mathematics 2021-07-15 Yu-Jui Huang , Saeed Khalili

This paper studies an optimal consumption-investment problem for an investor whose instantaneous utility depends on both consumption and wealth, and the investor faces a general borrowing constraint that the investment amount in the risky…

Portfolio Management · Quantitative Finance 2023-12-08 Weidong Tian , Zimu Zhu

We consider the economic problem of optimal consumption and investment with power utility. We study the optimal strategy as the relative risk aversion tends to infinity or to one. The convergence of the optimal consumption is obtained for…

Portfolio Management · Quantitative Finance 2012-08-13 Marcel Nutz

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

Machine Learning · Computer Science 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

We consider a regulator driving individual choices towards increasing social welfare by providing personal incentives. We formalise and solve this problem by maximising social welfare under a budget constraint. The personalised incentives…

General Economics · Economics 2023-11-27 Lucas Javaudin , Andrea Araldo , André de Palma