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Consider the seller's problem of finding optimal prices for her $n$ (divisible) goods when faced with a set of $m$ consumers, given that she can only observe their purchased bundles at posted prices, i.e., revealed preferences. We study…

Computer Science and Game Theory · Computer Science 2018-10-09 Ziwei Ji , Ruta Mehta , Matus Telgarsky

Labor share, the fraction of economic output accrued as wages, is inexplicably declining in industrialized countries. Whilst numerous prior works attempt to explain the decline via economic factors, our novel approach links the decline to…

General Economics · Economics 2024-01-05 B. N. Kausik

A new class of rational parametrization has been developed and it was used to generate a new family of rational functions B-splines $\displaystyle{{\left({}^{\alpha}{\mathbf B}_{i}^{k} \right)}_{i=0}^{k}}$ which depends on an index $\alpha…

Computational Geometry · Computer Science 2018-05-14 Mohamed Allaoui , Aurélien Goudjo

Restricting ourselves to elliptic curves over $\mathbb{Q}$, we reformulate the $p$-adic Beilinson conjecture due to Perrin-Riou, which is customized to our computational approach. We then develop a new algorithm for numerical verifications…

Number Theory · Mathematics 2020-09-09 Masanori Asakura , Masataka Chida

Natural inflation is a good fit to all cosmic microwave background (CMB) data and may be the correct description of an early inflationary expansion of the Universe. The large angular scale CMB polarization experiment BICEP2 has announced a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Katherine Freese , William H. Kinney

In this paper we address the problem of optimal dividend payout strategies from a surplus process governed by Brownian motion with drift under a drawdown constraint, i.e. the dividend rate can never decrease below a given fraction $a$ of…

Optimization and Control · Mathematics 2022-06-27 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

We propose an alternative delayed population growth difference equation model based on a modification of the Beverton-Holt recurrence, assuming a delay only in the growth contribution that takes into account that those individuals that die…

Populations and Evolution · Quantitative Biology 2022-10-24 Sabrina H. Streipert , Gail S. K. Wolkowicz

This note revisits the analysis of third-degree price discrimination developed by Bergemann et al. (2015), which characterizes the set of consumer-producer surplus pairs that can be achieved through market segmentation. This was proved by…

Theoretical Economics · Economics 2026-01-13 Keita Kuwahara

Our main result is to establish stability of martingale couplings: suppose that $\pi$ is a martingale coupling with marginals $\mu, \nu$. Then, given approximating marginal measures $\tilde \mu \approx \mu, \tilde \nu\approx \nu$ in convex…

Probability · Mathematics 2023-08-28 Mathias Beiglböck , Benjamin Jourdain , William Margheriti , Gudmund Pammer

Boosting techniques and neural networks are particularly effective machine learning methods for insurance pricing. Often in practice, there are nevertheless endless debates about the choice of the right loss function to be used to train the…

Machine Learning · Statistics 2021-07-12 Michel Denuit , Arthur Charpentier , Julien Trufin

Boltzmann-Gibbs distribution arises as the statistical equilibrium probability distribution of money among the agents of a closed economic system where random and undirected exchanges are allowed. When considering a model with uniform…

Adaptation and Self-Organizing Systems · Physics 2015-06-11 Ismael Martinez-Martinez , Ricardo Lopez-Ruiz

Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of the underlying space. The model favors configurations with…

Probability · Mathematics 2017-06-14 Jean-Christophe Mourrat , Daniel Valesin

We introduce a new class of combinatorial markets in which agents have covering constraints over resources required and are interested in delay minimization. Our market model is applicable to several settings including scheduling, cloud…

Computer Science and Game Theory · Computer Science 2017-04-17 Nikhil Devanur , Jugal Garg , Ruta Mehta , Vijay V. Vazirani , Sadra Yazdanbod

We develop an empirical behavioural order-driven (EBOD) model, which consists of an order placement process and an order cancellation process. Price limit rules are introduced in the definition of relative price. The order placement process…

Computational Finance · Quantitative Finance 2022-08-23 Gao-Feng Gu , Xiong Xiong , Hai-Chuan Xu , Wei Zhang , Yong-Jie Zhang , Wei Chen , Wei-Xing Zhou

For premium consumer products, pricing strategy is not about a single number, but about understanding the perceived monetary value of the features that justify a higher cost. This paper proposes a robust methodology to deconstruct a…

Applications · Statistics 2026-03-20 Srijesh Pillai , Rajesh Kumar Chandrawat

We note a simple mechanism that may at least partially resolve several outstanding economic puzzles, including why the cyclically adjusted price to earnings ratio of the S&P 500 index has been oddly high for the past two decades, why gains…

Economics · Quantitative Finance 2018-02-14 Bruce Knuteson

Timely monetary policy decision-making requires timely core inflation measures. We create a new core inflation series that is explicitly designed to succeed at that goal. Precisely, we introduce the Assemblage Regression, a generalized…

Beyond its obvious macro-economic relevance, fiat money has important micro-economic implications. They matter for addressing No. 8 in Smale's "Mathematical Problems for the Next Century": extend the mathematical model of general…

Economics · Quantitative Finance 2017-01-19 Gesine A. Steudle , Saini Yang , Carlo C. Jaeger

The existence of involuntary unemployment advocated by J. M. Keynes is a very important problem of the modern economic theory. Using a three-generations overlapping generations model, we show that the existence of involuntary unemployment…

General Economics · Economics 2020-12-23 Yasuhito Tanaka