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This paper is concerned with a conservation law model of traffic flow on a network of roads, where each driver chooses his own departure time in order to minimize the sum of a departure cost and an arrival cost. The model includes various…

Analysis of PDEs · Mathematics 2016-03-28 Alberto Bressan , Ke Han

Most cities in the US and in the world were organized around car traffic. In particular, large structures such as urban freeways or ring roads were built for reducing car traffic congestion. With the evolution of public transportation,…

Physics and Society · Physics 2023-03-29 Erwan Taillanter , Marc Barthelemy

It is well known that a game equilibrium can be far from efficient or fair, due to the misalignment between individual and social objectives. The focus of this paper is to design a new mechanism framework that induces an efficient and fair…

Computer Science and Game Theory · Computer Science 2017-08-11 Lin Gao , Jianwei Huang

We prove a central limit theorem for the entropic transportation cost between subgaussian probability measures, centered at the population cost. This is the first result which allows for asymptotically valid inference for entropic optimal…

Statistics Theory · Mathematics 2022-05-05 Eustasio del Barrio , Alberto Gonzalez-Sanz , Jean-Michel Loubes , Jonathan Niles-Weed

Spurred by the growth of transportation network companies and increasing data capabilities, vehicle routing and ride-matching algorithms can improve the efficiency of private transportation services. However, existing routing solutions do…

Systems and Control · Computer Science 2018-10-25 Ian Schneider , Jun Jie Joseph Kuan , Mardavij Roozbehani , Munther Dahleh

We consider the $L^\infty$-optimal mass transportation problem \[ \min_{\Pi(\mu, \nu)} \gamma-\mathrm{ess\,sup\,} c(x,y), \] for a new class of costs $c(x,y)$ for which we introduce a tentative notion of twist condition. In particular we…

Analysis of PDEs · Mathematics 2023-01-18 Camilla Brizzi , Luigi De Pascale , Anna Kausamo

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

General Finance · Quantitative Finance 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

Mechanism design for a social utility being the sum of agents' utilities (SoU) is a well-studied problem. There are, however, a number of problems of theoretical and practical interest where a designer may have a different objective than…

Computer Science and Game Theory · Computer Science 2015-09-29 Abhinav Sinha , Achilleas Anastasopoulos

This study investigates possibility and impossibility results of the repugnant and sadistic conclusions in population ethics and economics. The repugnant conclusion says that an enormous population with very low well-being is socially…

Theoretical Economics · Economics 2025-01-20 Norihito Sakamoto

The aim of this paper is to formulate and study a stochastic model for the management of environmental assets in a geographical context where in each place the local authorities take their policy decisions maximizing their own welfare,…

Optimization and Control · Mathematics 2025-10-27 Emmanuelle Augeraud-Véron , Daria Ghilli , Fausto Gozzi , Marta Leocata

Shadow prices are well understood and are widely used in economic applications. However, there are limits to where shadow prices can be applied assuming their natural interpretation and the fact that they reflect the first order optimality…

General Economics · Economics 2022-11-28 Nikolay Khabarov , Alexey Smirnov , Michael Obersteiner

We study multi-marginal optimal transport problems from a probabilistic graphical model perspective. We point out an elegant connection between the two when the underlying cost for optimal transport allows a graph structure. In particular,…

Optimization and Control · Mathematics 2020-06-26 Isabel Haasler , Rahul Singh , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

While the benefits of common and public goods are shared, they tend to be scarce when contributions are provided voluntarily. Failure to cooperate in the provision or preservation of these goods is fundamental to sustainability challenges,…

General Economics · Economics 2025-08-05 Vítor V. Vasconcelos , Phillip M. Hannam , Simon A. Levin , Jorge M. Pacheco

With autonomous vehicles now sharing roads with human drivers, the era of mixed autonomy brings new challenges in dealing with congestion. One cause of congestion is when vehicle users choose their routes selfishly to minimize their…

Optimization and Control · Mathematics 2021-08-05 Daniel A. Lazar , Ramtin Pedarsani

In ridesharing platforms such as Uber and Lyft, it is observed that drivers sometimes collaboratively go offline when the price is low, and then return after the price has risen due to the perceived lack of supply. This collective strategy…

Computer Science and Game Theory · Computer Science 2022-02-16 Chenkai Yu , Hongyao Ma , Adam Wierman

We address the issue of the dynamics of wealth accumulation and economic crisis triggered by extreme inequality, attempting to stick to most possibly intrinsic assumptions. Our general framework is that of pure or modified multiplicative…

Economics · Quantitative Finance 2017-05-17 Henri Benisty

Finding the optimal policy for multi-period perishable inventory systems requires solving computationally-expensive stochastic dynamic programs (DP). To avoid the difficulty of solving DP models, we propose a framework that uses an…

Optimization and Control · Mathematics 2021-07-28 Katsunobu Sasanuma , Mohammad Delasay , Christine Pitocco , Alan Scheller-Wolf , Thomas Sexton

This paper proposes a theory of pricing premised upon the assumptions that customers dislike unfair prices---those marked up steeply over cost---and that firms take these concerns into account when setting prices. Since they do not observe…

Theoretical Economics · Economics 2021-06-15 Erik Eyster , Kristof Madarasz , Pascal Michaillat

Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

Computer Science and Game Theory · Computer Science 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

We describe a new coordination mechanism for non-atomic congestion games that leads to a (selfish) social cost which is arbitrarily close to the non-selfish optimal. This mechanism does not incur any additional extra cost, like tolls, which…

Computer Science and Game Theory · Computer Science 2014-06-20 Josep Díaz , Ioannis Giotis , Lefteris Kirousis , Yiannis Mourtos , Maria J. Serna