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Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

We revisit the classic Cournot model and extend it to a two-echelon supply chain with an upstream supplier who operates under demand uncertainty and multiple downstream retailers who compete over quantity. The supplier's belief about retail…

Computer Science and Game Theory · Computer Science 2021-07-19 Constandina Koki , Stefanos Leonardos , Costis Melolidakis

Demand functions for goods are generally cyclical in nature with characteristics such as trend or stochasticity. Most existing demand forecasting techniques in literature are designed to manage and forecast this type of demand functions.…

Applications · Statistics 2011-10-04 Murphy Choy , Michelle L. F. Cheong

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

General Physics · Physics 2007-05-23 V. Granik , A. Granik

Implementing a set of microeconomic criteria, we develop price dynamics equations using a function of demand/supply with key symmetry properties. The function of demand/supply can be linear or nonlinear. The type of function determines the…

Mathematical Finance · Quantitative Finance 2019-04-02 Carey Caginalp , Gunduz Caginalp

We revisit the linear Cournot model with uncertain demand that is studied in Lagerl\"of (2006)* and provide sufficient conditions for equilibrium uniqueness that complement the existing results. We show that if the distribution of the…

Theoretical Economics · Economics 2021-07-19 Stefanos Leonardos , Costis Melolidakis

Price elasticity model (PEM) is an appealing and modest model for assessing the potential of flexible demand in DR. It measures the customers demand sensitivity through elasticity in relation to price variation. However, application of PEM…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Vipin Chandra Pandey , Nikhil Gupta , K. R. Niazi , Anil Swarnkar , Rayees Ahmad Thokar

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

Optimization and Control · Mathematics 2018-03-01 Nyles Breecher , Richard Stockbridge

Locational Marginal Price (LMP) is a dual variable associated with supply-demand matching and represents the cost of delivering power to a particular location if the load at that location increases. In recent times it become more volatile…

Optimization and Control · Mathematics 2018-11-07 Shantanu Chakraborty , Remco Verzijlbergh , Milos Cvetkovic , Kyri Baker , Zofia Lukszo

This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Guido Cavraro , Andrey Bernstein , Emiliano Dall'Anese

This study proposes a stochastic model for loss-given-default (LGD) which provides the LGD distribution based on credit market and company-specific financial conditions. The model utilizes last passage time of a linear diffusion…

Risk Management · Quantitative Finance 2025-11-04 Masahiko Egami , Rusudan Kevkhishvili

We investigate the problem of serving deferrable and nondeferrable electric demands with colocated stochastic supply and grid-imported electricity. Deferrable demands arrive randomly and can be delayed within their service deadlines.…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Minjae Jeon , Lang Tong , Qing Zhao

We analyze the efficiency of markets with friction, particularly power markets. We model the market as a dynamic system with $(d_t;\,t\geq 0)$ the demand process and $(s_t;\,t\geq 0)$ the supply process. Using stochastic differential…

Systems and Control · Computer Science 2011-09-19 Arman C. Kizilkale , Shie Mannor

This PhD Thesis presents an investigation into the analysis of financial returns using mixture models, focusing on mixtures of generalized normal distributions (MGND) and their extensions. The study addresses several critical issues…

Statistical Finance · Quantitative Finance 2024-11-20 Pierdomenico Duttilo

Income- and price-elasticity of demand quantify the responsiveness of markets to changes in income, and in prices, respectively. Under the assumptions of utility maximization and preference-independence (additive preferences), mathematical…

Applications · Statistics 2016-04-27 Lorenzo Sabatelli

Demand response (DR) leverages demand-side flexibility, offering a promising approach to enhance market conditions like mitigating wholesale price spikes. However, poorly chosen DR locations can inadvertently increase electricity prices.…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Yufan Zhang , Honglin Wen , Tao Feng , Yize Chen

Distribution locational marginal prices (DLMPs) facilitate the efficient operation of low-voltage electric power distribution systems. We propose an approach to internalize the stochasticity of renewable distributed energy resources (DERs)…

Systems and Control · Computer Science 2020-04-28 Robert Mieth , Yury Dvorkin

We study common properties of retail pricing models within a general framework of calculus of variations. In particular, we observe that for any demand model, optimal de-seasoned revenue rate divided by price elasticity is time invariant.…

Optimization and Control · Mathematics 2014-02-11 Alexander Kushkuley , Su-Ming Wu

This paper studies identification and estimation of a dynamic discrete choice model of demand for differentiated product using consumer-level panel data with few purchase events per consumer (i.e., short panel). Consumers are…

Econometrics · Economics 2022-08-19 Victor Aguirregabiria

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

Computer Science and Game Theory · Computer Science 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah
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