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In this paper we study a continuous time, optimal stochastic investment problem under limited resources in a market with N firms. The investment processes are subject to a time-dependent stochastic constraint. Rather than using a dynamic…

Optimization and Control · Mathematics 2013-08-20 Maria B. Chiarolla , Giorgio Ferrari , Frank Riedel

I characterize optimal government policy in a sticky-price economy with different types of consumers and endogenous financial constraints in the banking and entrepreneurial sectors. The competitive equilibrium allocation is constrained…

General Economics · Economics 2025-01-29 Aliaksandr Zaretski

During the Great Recession, Democrats in the United States argued that government spending could be utilized to "grease the wheels" of the economy in order to create wealth and to increase employment; Republicans, on the other hand,…

General Economics · Economics 2021-04-06 Philip A. Ernst , Michael B. Imerman , Larry Shepp , Quan Zhou

This paper studies finite-time optimal consumption-investment problems with power, logarithmic and exponential utilities, in a regime switching market with random coefficients, subject to coupled constraints on the consumption and…

Probability · Mathematics 2022-11-11 Ying Hu , Xiaomin Shi , Zuo Quan Xu

We consider a government that aims at reducing the debt-to-gross domestic product (GDP) ratio of a country. The government observes the level of the debt-to-GDP ratio and an indicator of the state of the economy, but does not directly…

Optimization and Control · Mathematics 2019-01-29 Giorgia Callegaro , Claudia Ceci , Giorgio Ferrari

Do governments adjust budgetary policy to rising public debt, precluding fiscal unsustainability? Using budget data for 52 industrial and emerging economies since 1990, we apply panel methods accounting for cross-sectional dependence and…

General Economics · Economics 2025-07-18 Paolo Canofari , Alessandro Piergallini , Marco Tedeschi

We develop a deep learning algorithm for constructing globally accurate approximations to functional rational expectations equilibria of dynamic stochastic economies in the sequence space. We use deep neural networks to parameterize key…

General Economics · Economics 2026-03-17 Marlon Azinovic-Yang , Jan Žemlička

We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. In the discrete case, we consider both deterministic and…

Optimization and Control · Mathematics 2014-09-30 Ryo Takei , Weiyan Chen , Zachary Clawson , Slav Kirov , Alexander Vladimirsky

We provide two methodological insights on \emph{ex ante} policy evaluation for macro models of economic development. First, we show that the problems of parameter instability and lack of behavioral constancy can be overcome by considering…

General Economics · Economics 2019-02-04 Gonzalo Castaeda , Omar A. Guerrero

We present an standard constraints generation algorithm to find an explicit set whose robustness is equal to the robustness of the feasible solution set of a combinatorial optimization problem with cost uncertainty. Computational experience…

Optimization and Control · Mathematics 2023-04-11 Alejandro Crema

In this paper, we focus on the problem of optimal portfolio-consumption policies in a multi-asset financial market, where the n risky assets follow Exponential Ornstein-Uhlenbeck processes, along with one risk-free bond. The investor's…

Optimization and Control · Mathematics 2025-09-10 Zhaoxiang Zhong , Haiming Song

We derive sublinear regret bounds for undiscounted reinforcement learning in continuous state space. The proposed algorithm combines state aggregation with the use of upper confidence bounds for implementing optimism in the face of…

Machine Learning · Computer Science 2013-02-12 Ronald Ortner , Daniil Ryabko

In this paper we consider the problem of obtaining sharp bounds for the performance of temporal difference (TD) methods with linear function approximation for policy evaluation in discounted Markov decision processes. We show that a simple…

Machine Learning · Statistics 2024-06-18 Sergey Samsonov , Daniil Tiapkin , Alexey Naumov , Eric Moulines

We study budget-constrained contextual bandits with adversarial contexts, where each action yields a random reward and incurs a random cost. We adopt the standard realizability assumption: conditioned on the observed context, rewards and…

Machine Learning · Computer Science 2026-05-08 Dhruv Sarkar , Abhishek Sinha

This paper describes a discrete-time model of regularly-issued sovereign debt dynamics under a deficit-driven nominal debt growth regime that explicitly accounts for granular maturity. New issuance follows fixed allocations across a finite…

Mathematical Finance · Quantitative Finance 2026-02-24 Christopher Cameron

For environmental problems such as global warming future costs must be balanced against present costs. This is traditionally done using an exponential function with a constant discount rate, which reduces the present value of future costs.…

Statistical Finance · Quantitative Finance 2013-11-19 Jaume Masoliver , Miquel Montero , Josep Perelló , John Geanakoplos , J. Doyne Farmer

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is time-consistent. It is applied to study optimal learning when the choice between actions can…

Economics · Quantitative Finance 2019-03-06 Larry G. Epstein , Shaolin Ji

In this paper, we investigate the robust optimal reinsurance,investment,and internal surplus distribution (i.e., consumption) problem for an insurer with Epstein-Zin recursive preferences in an incomplete market. It is assumed that the…

Optimization and Control · Mathematics 2026-05-19 Junyi Guo , Jianxuan Li , Qianqian Zhou

In this paper, we consider a generic interest rate market in the presence of roll-over risk, which generates spreads in spot/forward term rates. We do not require classical absence of arbitrage and rely instead on a minimal market viability…

Pricing of Securities · Quantitative Finance 2023-10-06 Claudio Fontana , Simone Pavarana , Wolfgang J. Runggaldier

How can we perform efficient inference and learning in directed probabilistic models, in the presence of continuous latent variables with intractable posterior distributions, and large datasets? We introduce a stochastic variational…

Machine Learning · Statistics 2022-12-13 Diederik P Kingma , Max Welling