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This working paper is divided into two parts. Firstly, we develop a new combined equilibrium model of business land-use, which puts travelers' traffic equilibrium and business companies' competitive location equilibrium into a unified…

Optimization and Control · Mathematics 2015-01-20 Qian Liu , Chongchao Huang

This paper explores stochastic control models in the context of decarbonization within the energy market. We study three progressively complex scenarios: (1) a single firm operating with two technologies-one polluting and one clean,(2)two…

General Finance · Quantitative Finance 2025-06-18 Benhao Du , Thomas Treillard , Francois Wang

Can constantly comparing ourselves to others lead to overconsumption, ultimately increasing the ecological footprint? How do social comparisons shape green preferences over time? To answer these questions, we develop an environmental…

General Economics · Economics 2025-12-19 Nicolás Blampied , Alessia Cafferata , Marwil J. Davila-Fernandez

As the global focus on combating environmental pollution intensifies, the transition to sustainable energy sources, particularly in the form of electric vehicles (EVs), has become paramount. This paper addresses the pressing need for Smart…

Optimization and Control · Mathematics 2024-09-16 Luca Ambrosino , Giuseppe Calafiore , Khai Manh Nguyen , Riadh Zorgati , Doanh Nguyen-Ngoc , Laurent El Ghaoui

Income inequality and redistribution policies are modeled with a minimal, endogenous model of a simple foraging economy. Significant income inequalities emerge from the model for populations of equally capable individuals presented with…

Physics and Society · Physics 2024-11-21 John C. Stevenson

We consider a number of Artificial Chemistry models for economic activity and what consequences they have for the formation of economic inequality. We are particularly interested in what tax measures are effective in dampening economic…

General Finance · Quantitative Finance 2021-09-15 Wolfgang Banzhaf

Sustainable Development Goals are intrinsically competing, but their embedding into urban systems furthermore emphasises such compromises, due to spatial complexity, the non-optimal nature of such systems, and multi-objective aspects of…

Physics and Society · Physics 2021-12-01 Juste Raimbault , Denise Pumain

The sustainability of cooperation is crucial for understanding the progress of societies. We study a repeated game in which individuals decide the share of their income to transfer to other group members. A central feature of our model is…

General Economics · Economics 2025-10-31 Pau Juan-Bartroli , Esteban Muñoz-Sobrado

We compare two competing methodologies of market zones identification under the criterion of social welfare maximization: (i) consensus clustering of Locational Marginal Prices over different wind scenarios and (ii) congestion contribution…

Computational Engineering, Finance, and Science · Computer Science 2013-10-21 Karol Wawrzyniak , Michal Klos , Grzegorz Orynczak , Marcin Jakubek

The most dangerous effects of anthropogenic climate change can be mitigated by using emissions taxes or other regulatory interventions to reduce greenhouse gas (GHG) emissions. This paper takes a regulatory viewpoint and describes the…

Optimization and Control · Mathematics 2018-04-19 Daniel J. Olsen , Yury Dvorkin , Ricardo Fernández-Blanco , Miguel A. Ortega-Vazquez

Maximum-entropy distributions are shown to appear in the probability calculus as approximations of a model by exchangeability or a model by sufficiency, the former model being preferable. The implications of this fact are discussed,…

Data Analysis, Statistics and Probability · Physics 2017-06-27 P. G. L. Porta Mana

Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize…

Statistical Mechanics · Physics 2020-10-06 Thomas Gueudré , David Martin

Estimating health benefits of reducing fossil fuel use from improved air quality provides important rationales for carbon emissions abatement. Simulating pollution concentration is a crucial step of the estimation, but traditional…

General Economics · Economics 2021-06-01 Da Zhang , Qingyi Wang , Shaojie Song , Simiao Chen , Mingwei Li , Lu Shen , Siqi Zheng , Bofeng Cai , Shenhao Wang

This paper studies the optimal investment problem for a hybrid pension plan under model uncertainty, where both the contribution and the benefit are adjusted depending on the performance of the plan. Furthermore, an age and time-dependent…

Optimization and Control · Mathematics 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

The socioeconomic impact of pollution naturally comes with uncertainty due to, e.g., current new technological developments in emissions' abatement or demographic changes. On top of that, the trend of the future costs of the environmental…

Optimization and Control · Mathematics 2024-02-28 Matteo Basei , Giorgio Ferrari , Neofytos Rodosthenous

Dual risk models are popular for modeling a venture capital or high tech company, for which the running cost is deterministic and the profits arrive stochastically over time. Most of the existing literature on dual risk models concentrated…

Risk Management · Quantitative Finance 2023-02-14 Arash Fahim , Lingjiong Zhu

Carbon dioxide removal (CDR) moves atmospheric carbon to geological or land-based sinks. In a first-best setting, the optimal use of CDR is achieved by a removal subsidy that equals the optimal carbon tax and marginal damages. We derive…

General Economics · Economics 2022-12-20 Max Franks , Matthias Kalkuhl , Kai Lessmann

How should nations price carbon? This paper examines how the treatment of global inequality, captured by regional welfare weights, affects optimal carbon prices. I develop theory to identify the conditions under which accounting for…

General Economics · Economics 2026-05-07 Simon F. Lang

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

We demonstrate how a static optimal income taxation problem can be analyzed using dynamical methods. Specifically, we show that the taxation problem is intimately connected to the heat equation. Our first result is a new property of the…

Theoretical Economics · Economics 2019-05-01 Stefan Steinerberger , Aleh Tsyvinski