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We explore heterogeneous prices as a source of heterogeneous or stochastic demand. Heterogeneous prices could arise either because there is actual price variation among consumers or because consumers (mis)perceive prices differently. Our…

Theoretical Economics · Economics 2026-05-26 John K. -H. Quah , Gerelt Tserenjigmid

The Price equation partitions the change in the expected value of a population measure. The first component describes the partial change caused by altered frequencies. The second component describes the partial change caused by altered…

Populations and Evolution · Quantitative Biology 2020-03-23 Steven A. Frank , William Godsoe

The marginal price of electricity traditionally depends on the dual variables associated with relevant optimization goals. Particularly, in the optimal power flow realm, prices represent the cost of supplying an additional unit of power at…

Optimization and Control · Mathematics 2016-06-29 Kyri Baker

In the context of nonlinear prices, the empirical evidence suggests that the consumers have cognitive biases represented in a limited understanding of nonlinear price structures, and they respond to some alternative perceptions of the…

General Economics · Economics 2021-04-22 Diego Alejandro Murillo Taborda

We propose a term structure power price model that, in contrast to widely accepted no-arbitrage based approaches, accounts for the non-storable nature of power. It belongs to a class of equilibrium game theoretic models with players divided…

Optimization and Control · Mathematics 2014-08-12 Miha Troha , Raphael Hauser

To choose between two discrete goods, a consumer pays attention to only those with prices below a threshold. From these, she chooses her most preferred good. We assume consumers in a population have the same preference but may have…

Theoretical Economics · Economics 2025-11-07 Kaushil Patel

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

The average economic agent is often used to model the dynamics of simple markets, based on the assumption that the dynamics of many agents can be averaged over in time and space. A popular idea that is based on this seemingly intuitive…

Trading and Market Microstructure · Quantitative Finance 2015-07-29 Sebastian M. Krause , Stefan Boerries , Stefan Bornholdt

An axiomatic approach to macroeconomics based on the mathematical structure of thermodynamics is presented. It deduces relations between aggregate properties of an economy, concerning quantities and flows of goods and money, prices and the…

General Economics · Economics 2025-06-18 N. J. Chater , R. S. MacKay

There are clear benefits associated with a particular consumer choice for many current markets. For example, as we consider here, some products might carry environmental or `green' benefits. Some consumers might value these benefits while…

General Finance · Quantitative Finance 2008-12-02 Gérard Weisbuch , Vincent Buskens , Luat Vuong

We show that when firms compete via supply functions, transferring high-cost capacity to the largest, most efficient firm--thereby diversifying its production technologies while increasing concentration--can lower prices by prompting the…

General Economics · Economics 2025-04-08 Michele Fioretti , Junnan He , Jorge Tamayo

In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

The Price equation describes the change in populations. Change concerns some value, such as biological fitness, information or physical work. The Price equation reveals universal aspects for the nature of change, independently of the…

Populations and Evolution · Quantitative Biology 2023-12-27 Steven A. Frank

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity1 traded in the market, at each instant of time, is considered to be an…

General Finance · Quantitative Finance 2012-12-03 Belal E. Baaquie

Many online marketplaces personalize prices based on consumer attributes. Since these prices are private, consumers may be unaware that they have spent more on a good than the lowest possible price, and cannot easily take action to pay…

Computer Science and Game Theory · Computer Science 2025-05-01 Aditya Karan , Naina Balepur , Hari Sundaram

To determine the welfare implications of price changes in demand data, we introduce a revealed preference relation over prices. We show that the absence of cycles in this relation characterizes a consumer who trades off the utility of…

Econometrics · Economics 2024-07-03 Rahul Deb , Yuichi Kitamura , John K. -H. Quah , Jörg Stoye

We consider the problem of characterizing the locational marginal value of energy storage capacity in electric power networks with stochastic renewable supply and demand. The perspective taken is that of a system operator, whose objective…

Optimization and Control · Mathematics 2016-12-07 Subhonmesh Bose , Eilyan Bitar

Starting from a plausible assumption about the Total Revenue concept, a system of economic agents, that simulates the exchange of goods, is studied. Following a methodology equivalent to that used in the statistical-mechanical determination…

Physics and Society · Physics 2024-03-27 Juan Villegas-Febres

The energy transition is expected to significantly increase the share of renewable energy sources whose production is intermittent in the electricity mix. Apart from key benefits, this development has the major drawback of generating a…

Trading and Market Microstructure · Quantitative Finance 2023-01-30 Thibaut Théate , Antonio Sutera , Damien Ernst

The Price equation shows the unity between the fundamental expressions of change in biology, in information and entropy descriptions of populations, and in aspects of thermodynamics. The Price equation partitions the change in the average…

Statistical Mechanics · Physics 2017-05-23 Steven A. Frank
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