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Proportional response is a well-established distributed algorithm which has been shown to converge to competitive equilibria in both Fisher and Arrow-Debreu markets, for various sub-families of homogeneous utilities, including linear and…

Computer Science and Game Theory · Computer Science 2025-06-04 Yun Kuen Cheung , Richard Cole , Yixin Tao

Proportional dynamics, originated from peer-to-peer file sharing systems, models a decentralized price-learning process in Fisher markets. Previously, items in the dynamics operate independently of one another, and each is assumed to belong…

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

Competitive equilibrium is a central concept in economics with numerous applications beyond markets, such as scheduling, fair allocation of goods, or bandwidth distribution in networks. Computation of competitive equilibria has received a…

Computer Science and Game Theory · Computer Science 2018-04-24 Yun Kuen Cheung , Martin Hoefer , Paresh Nakhe

We study the Proportional Response dynamic in exchange economies, where each player starts with some amount of money and a good. Every day, the players bring one unit of their good and submit bids on goods they like, each good gets…

Computer Science and Game Theory · Computer Science 2023-09-13 Simina Brânzei , Nikhil R. Devanur , Yuval Rabani

One attractive approach to market dynamics is the level $k$ model in which a level $0$ player adopts a very simple response to current conditions, a level $1$ player best-responds to a model in which others take level $0$ actions, and so…

Computer Science and Game Theory · Computer Science 2016-05-31 Krishnamurthy Dvijotham , Yuval Rabani , Leonard J. Schulman

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

Computer Science and Game Theory · Computer Science 2018-06-14 Yun Kuen Cheung , Richard Cole , Yixin Tao

This study is focused on periodic Fisher markets where items with time-dependent and stochastic values are regularly replenished and buyers aim to maximize their utilities by spending budgets on these items. Traditional approaches of…

Computer Science and Game Theory · Computer Science 2024-06-04 Yongge Yang , Yu-Ching Lee , Po-An Chen , Chuang-Chieh Lin

We study learning dynamics in distributed production economies such as blockchain mining, peer-to-peer file sharing and crowdsourcing. These economies can be modelled as multi-product Cournot competitions or all-pay auctions (Tullock…

Computer Science and Game Theory · Computer Science 2021-03-18 Yun Kuen Cheung , Stefanos Leonardos , Georgios Piliouras

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

This paper shows that in suitable markets, even with out-of-equilibrium trade allowed, a simple price update rule leads to rapid convergence toward the equilibrium. In particular, this paper considers a Fisher market repeated over an…

Computer Science and Game Theory · Computer Science 2010-12-13 Richard Cole , Lisa Fleischer , Ashish Rastogi

This paper focuses on the operation of an electricity market that accounts for participants that bid at a sub-minute timescale. To that end, we model the market-clearing process as a dynamical system, called market dynamics, which is…

Optimization and Control · Mathematics 2021-12-14 Pengcheng You , Yan Jiang , Enoch Yeung , Dennice F. Gayme , Enrique Mallada

We study asynchronous dynamics in a network of interacting agents updating their binary states according to a time-varying threshold rule. Specifically, agents revise their state asynchronously by comparing the weighted average of the…

Computer Science and Game Theory · Computer Science 2023-02-01 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategize in order to maximize their utilities. A number of results…

Computer Science and Game Theory · Computer Science 2017-04-17 Paul Dütting , Thomas Kesselheim

Coincident Peak (CP) pricing is widely used in U.S. electricity markets to allocate capacity and transmission costs. This paper develops a behavioral game-theoretic framework for CP-driven load shifting that couples a nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Qian Zhang , Sadie Zhao , Lucy Diao , Conleigh Byers , Yiling Chen , Derya Cansever , Le Xie

We report on a series of experiments in which we study the coevolutionary "arms-race" dynamics among groups of agents that engage in adaptive automated trading in an accurate model of contemporary financial markets. At any one time, every…

Computational Engineering, Finance, and Science · Computer Science 2021-09-23 Nik Alexandrov , Dave Cliff , Charlie Figuero

We consider a periodical equilibrium pricing problem for multiple firms over a planning horizon of T periods. At each period, firms set their selling prices and receive stochastic demand from consumers. Firms do not know their underlying…

Computer Science and Game Theory · Computer Science 2024-06-07 Yongge Yang , Yu-Ching Lee , Po-An Chen

Consider a system in which players at nodes of an underlying graph G repeatedly play Prisoner's Dilemma against their neighbors. The players adapt their strategies based on the past behavior of their opponents by applying the so-called…

Discrete Mathematics · Computer Science 2008-12-08 Gabriel Istrate , Madhav V. Marathe , S. S. Ravi

We study the problem of online learning in two-sided non-stationary matching markets, where the objective is to converge to a stable match. In particular, we consider the setting where one side of the market, the arms, has fixed known set…

Machine Learning · Computer Science 2023-01-16 Deepan Muthirayan , Chinmay Maheshwari , Pramod P. Khargonekar , Shankar Sastry

We present a novel approach to modeling market dynamics using ordinary differential equations that explicitly incorporates product competitiveness and consumer behavior. Our framework treats market segments as interacting populations in a…

Dynamical Systems · Mathematics 2025-11-26 Aparna Komarla , Max Hill

This paper presents a novel non-stationary dynamic pricing algorithm design, where pricing agents face incomplete demand information and market environment shifts. The agents run price experiments to learn about each product's demand curve…

Machine Learning · Statistics 2022-09-09 Po-Yi Liu , Chi-Hua Wang , Henghsiu Tsai
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