English
Related papers

Related papers: Proportional Response Dynamics in Gross Substitute…

200 papers

For a simple model of price-responsive demand, we consider a deregulated electricity marketplace wherein the grid (ISO, retailer-distributor) accepts bids per-unit supply from generators (simplified herein neither to consider…

Computer Science and Game Theory · Computer Science 2014-08-29 Yuquan Shan , Jayaram Raghuram , George Kesidis , Christopher Griffin , Karl Levitt , David J. Miller , Jeffry Rowe , Anna Scaglione

Large-scale competitive market equilibrium problems arise in a wide range of important applications, including economic decision-making and intelligent manufacturing. Traditional solution methods, such as interior-point algorithms and…

Optimization and Control · Mathematics 2025-06-09 Huikang Liu , Yicheng Huang , Hongpei Li , Dongdong Ge , Yinyu Ye

We study the equilibrium computation problem in the Fisher market model with constrained piecewise linear concave (PLC) utilities. This general class captures many well-studied special cases, including markets with PLC utilities, markets…

Computer Science and Game Theory · Computer Science 2021-07-14 Jugal Garg , Yixin Tao , László A. Végh

We study Fisher markets that admit equilibria wherein each good is integrally assigned to some agent. While strong existence and computational guarantees are known for equilibria of Fisher markets with additive valuations, such equilibria,…

Computer Science and Game Theory · Computer Science 2018-11-22 Siddharth Barman , Sanath Kumar Krishnamurthy

A major goal in Algorithmic Game Theory is to justify equilibrium concepts from an algorithmic and complexity perspective. One appealing approach is to identify robust natural distributed algorithms that converge quickly to an equilibrium.…

Computer Science and Game Theory · Computer Science 2019-11-25 Richard Cole , Yixin Tao

T\^atonnement is a simple, intuitive market process where prices are iteratively adjusted based on the difference between demand and supply. Many variants under different market assumptions have been studied and shown to converge to a…

Computer Science and Game Theory · Computer Science 2025-02-18 Tianlong Nan , Yuan Gao , Christian Kroer

Recent results, establishing evidence of intractability for such restrictive utility functions as additively separable, piecewise-linear and concave, under both Fisher and Arrow-Debreu market models, have prompted the question of whether we…

Computer Science and Game Theory · Computer Science 2010-10-21 Vijay V. Vazirani

Demand response has been a promising solution for accommodating renewable energy in power systems. In this study, we consider a demand response scheme within a distribution network facing an energy supply deficit. The utility company…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Xiupeng Chen , Jacquelien M. A. Scherpen , Nima Monshizadeh

We consider the problem of large-scale Fisher market equilibrium computation through scalable first-order optimization methods. It is well-known that market equilibria can be captured using structured convex programs such as the…

Computer Science and Game Theory · Computer Science 2023-03-02 Tianlong Nan , Yuan Gao , Christian Kroer

In Demand Response programs, price incentives might not be sufficient to modify residential consumers load profile. Here, we consider that each consumer has a preferred profile and a discomfort cost when deviating from it. Consumers can…

Optimization and Control · Mathematics 2017-12-01 Paulin Jacquot , Olivier Beaude , Nadia Oudjane , Stephane Gaubert

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

Computer Science and Game Theory · Computer Science 2024-07-17 Juncheng Li , Pingzhong Tang

Future electricity distribution grids will host a considerable share of the renewable energy sources needed for enforcing the energy transition. Demand side management mechanisms play a key role in the integration of such renewable energy…

Systems and Control · Computer Science 2019-04-16 José Horta , Eitan Altman , Mathieu Caujolle , Daniel Kofman , David Menga

A prevalent theme in the economics and computation literature is to identify natural price-adjustment processes by which sellers and buyers in a market can discover equilibrium prices. An example of such a process is t\^atonnement, an…

Computer Science and Game Theory · Computer Science 2025-03-04 Denizalp Goktas , Jiayi Zhao , Amy Greenwald

This paper continues the study, initiated by Cole and Fleischer, of the behavior of a tatonnement price update rule in Ongoing Fisher Markets. The prior work showed fast convergence toward an equilibrium when the goods satisfied the weak…

Computer Science and Game Theory · Computer Science 2012-11-13 Yun Kuen Cheung , Richard Cole , Ashish Rastogi

The Kelly or proportional allocation mechanism is a simple and efficient auction-based scheme that distributes an infinitely divisible resource proportionally to the agents bids. When agents are aware of the allocation rule, their…

Computer Science and Game Theory · Computer Science 2026-03-27 Younes Ben Mazziane , Cleque-Marlain Mboulou Moutoubi , Eitan Altman , Francesco De Pellegrini

We consider the scenario where $N$ utilities strategically bid for electricity in the day-ahead market and balance the mismatch between the committed supply and actual demand in the real-time market, with uncertainty in demand and local…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Tianyu Zhao , Hanling Yi , Minghua Chen , Chenye Wu , Yunjian Xu

In this paper, we initiate the study of t\^atonnement dynamics in markets with chores. T\^atonnement is a fundamental market dynamics, capturing how prices evolve when they are adjusted in proportion of their excess demand. While its…

Computer Science and Game Theory · Computer Science 2025-11-27 Bhaskar Ray Chaudhury , Christian Kroer , Ruta Mehta , Tianlong Nan

A fundamental question about a market is under what conditions, and then how rapidly, does price signaling cause price equilibration. Qualitatively, this ought to depend on how well-connected the market is. We address this question…

Economics · Quantitative Finance 2021-07-21 Yuval Rabani , Leonard J. Schulman

Computing market equilibria is a problem of both theoretical and applied interest. Much research to date focuses on the case of static Fisher markets with full information on buyers' utility functions and item supplies. Motivated by…

Computer Science and Game Theory · Computer Science 2021-10-05 Yuan Gao , Christian Kroer , Alex Peysakhovich

Public goods are often either over-consumed in the absence of regulatory mechanisms, or remain completely unused, as in the Covid-19 pandemic, where social distance constraints are enforced to limit the number of people who can share public…

Computer Science and Game Theory · Computer Science 2021-05-25 Devansh Jalota , Qi Qi , Marco Pavone , Yinyu Ye