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In a constantly changing world, animals must account for environmental volatility when making decisions. To appropriately discount older, irrelevant information, they need to learn the rate at which the environment changes. We develop an…

Neurons and Cognition · Quantitative Biology 2017-01-12 Adrian E Radillo , Alan Veliz-Cuba , Kresimir Josic , Zachary P Kilpatrick

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

In multiplayer games, self-interested behavior among the players can harm the social welfare. Tax mechanisms are a common method to alleviate this issue and induce socially optimal behavior. In this work, we take the initial step of…

Computer Science and Game Theory · Computer Science 2025-01-16 Qiwen Cui , Maryam Fazel , Simon S. Du

We consider the problem of optimal annuitization with labour income, where an agent aims to maximize utility from consumption and labour income under age-dependent force of mortality. Using a dynamic programming approach, we derive…

Portfolio Management · Quantitative Finance 2025-10-14 Criscent Birungi , Cody Hyndman

We study a minimal model for the growth of a phenotypically heterogeneous population of cells subject to a fluctuating environment in which they can replicate (by exploiting available resources) and modify their phenotype within a given…

Populations and Evolution · Quantitative Biology 2019-01-23 Andrea De Martino , Thomas Gueudré , Mattia Miotto

In this paper we present a simplified model of a proportional taxation system where citizens decide whether to pay taxes or evade them. We initially derive a dynamic equation for the fraction of evaders and then present both its critical…

Physics and Society · Physics 2022-06-17 Alessio Emanuele Biondo , Giulio Burgio , Alessandro Pluchino , Damiano Puglisi

We consider a two-dimensional optimal dividend problem in the context of two insurance companies with compound Poisson surplus processes, who collaborate by paying each other's deficit when possible. We solve the stochastic control problem…

Optimization and Control · Mathematics 2015-05-18 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

Mounting evidences are being gathered suggesting that income and wealth distribution in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas in equilibrium, but also deviating…

Physics and Society · Physics 2008-12-02 Arnab Chatterjee , Sitabhra Sinha , Bikas K. Chakrabarti

We analyze the harvesting and stocking of a population that is affected by random and seasonal environmental fluctuations. The main novelty comes from having three layers of environmental fluctuations. The first layer is due to the…

Probability · Mathematics 2024-07-10 Alexandru Hening , Ky Q. Tran , Sergiu C. Ungureanu

In this paper we study the valuation problem of an insurance company by maximizing the expected discounted future dividend payments in a model with partial information that allows for a changing economic environment. The surplus process is…

Mathematical Finance · Quantitative Finance 2016-08-03 Michaela Szölgyenyi

We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

Populations and Evolution · Quantitative Biology 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

The impact of energy production significantly affects system sustainability, which has enabled a shift towards renewable energy sources. Thus, producer behavior is crucial in electricity markets to achieve sustainability goals. In this…

Systems and Control · Electrical Eng. & Systems 2024-07-03 Mohammad Reza Karimi Gharigh , Lamia Varawala , Mohammad Reza Hesamzadeh , György Dán

We propose a parametric specification of the probability of tax penalisation faced by a taxpayer, based on the amount of deduction chosen by her to reduce total taxation. Comparative analyses lead to a closed-form solution for the optimum…

General Economics · Economics 2022-03-01 Alex A. T. Rathke

This study presents a model that examines how families make decisions about having children, managing resources, and planning for their financial security in light of social and economic factors. It explores the balance between the number…

Theoretical Economics · Economics 2024-11-28 Sushmita Kumari , Siddharth Gavhale

Increasingly, a huge amount of statistics have been gathered which clearly indicates that income and wealth distributions in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas…

General Finance · Quantitative Finance 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

We investigate the optimal regulation of energy production in alignment with the long-term goals of the Paris Climate Agreement. We analyze the optimal regulatory incentives to foster the development of non-emissive electricity generation…

General Economics · Economics 2025-02-11 René Aïd , Annika Kemper , Nizar Touzi

I study the welfare-maximizing allocation of heterogeneous goods when monetary transfers are prohibited. Agents have private values, and the designer chooses a mechanism subject to incentive compatibility and aggregate supply constraints. I…

Theoretical Economics · Economics 2026-05-26 Filip Tokarski

The increasing recognition of the association between adverse human health conditions and many environmental substances as well as processes has led to the need to monitor them. An important problem that arises in environmental statistics…

Applications · Statistics 2020-02-05 Yu Wang , Nhu D. Le , James V. Zidek

This paper proposes an optimal management strategy for a Renewable Energy Community defined according to the Italian legislation. The specific case study is composed by a set of houses equipped with smart appliances, that share a PV plant.…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Francesco Conte , Federico Silvestro , Andrea Vinci , Anna Rita Di Fazio

Subsidies are commonly used to encourage behaviors that can lead to short- or long-term benefits. Typical examples include subsidized job training programs and provisions of preventive health products, in which both behavioral responses and…

Econometrics · Economics 2022-03-18 Yu-Chang Chen , Haitian Xie