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Market equilibrium is one of the most fundamental solution concepts in economics and social optimization analysis. Existing works on market equilibrium computation primarily focus on settings with relatively few buyers. Motivated by this,…

计算机科学与博弈论 · 计算机科学 2025-04-22 Yunxuan Ma , Yide Bian , Hao Xu , Weitao Yang , Jingshu Zhao , Zhijian Duan , Feng Wang , Xiaotie Deng

Solution methods for generalized Nash equilibrium have been dominated by variational inequalities and complementarity problems. Since these approaches fundamentally rely on the sufficiency of first-order optimality conditions for the…

最优化与控制 · 数学 2023-10-03 Stuart Harwood , Francisco Trespalacios , Dimitri Papageorgiou , Kevin Furman

We propose a method to design a decentralized energy market which guarantees individual rationality (IR) in expectation, in the presence of system-level grid constraints. We formulate the market as a welfare maximization problem subject to…

计算工程、金融与科学 · 计算机科学 2018-07-23 Lorenzo Nespoli , Matteo Salani , Vasco Medici

Two-sided marketplaces embody heterogeneity in incentives: producers seek exposure while consumers seek relevance, and balancing these competing objectives through constrained optimization is now a standard practice. Yet real platforms face…

计算机科学与博弈论 · 计算机科学 2026-02-13 Dominykas Seputis , Alexander Timans , Rajeev Verma

Walrasian equilibrium is a prominent market equilibrium notion, but rarely exists in markets with indivisible items. We introduce a new market equilibrium notion, called two-price equilibrium (2PE). A 2PE is a relaxation of Walrasian…

计算机科学与博弈论 · 计算机科学 2021-12-16 Michal Feldman , Galia Shabtai , Aner Wolfenfeld

In uniform-price markets, suppliers compete to supply a resource to consumers, resulting in a single market price determined by their competition. For sufficient flexibility, producers and consumers prefer to commit to a function as their…

计算机科学与博弈论 · 计算机科学 2024-03-15 Abdullah Alawad , Muhammad Aneeq uz Zaman , Khaled Alshehri , Tamer Başar

This paper proposes a differentially private energy trading mechanism for prosumers in peer-to-peer (P2P) markets, offering provable privacy guarantees while approaching the Nash equilibrium with nearly socially optimal efficiency. We first…

计算机科学与博弈论 · 计算机科学 2024-10-22 Yuji Cao , Yue Chen

In this paper, a mathematically rigorous solution overturns existing wisdom regarding New Keynesian Dynamic Stochastic General Equilibrium. I develop a formal concept of stochastic equilibrium. I prove uniqueness and necessity, when agents…

理论经济学 · 经济学 2024-06-04 David Staines

Motivated by the convergence result of mirror-descent algorithms to market equilibria in linear Fisher markets, it is natural for one to consider designing dynamics (specifically, iterative algorithms) for agents to arrive at linear…

计算机科学与博弈论 · 计算机科学 2020-03-13 Po-An Chen , Chi-Jen Lu , Yu-Sin Lu

Generative model ecosystems increasingly operate as competitive multi-platform markets, where platforms strategically select models from a shared pool and users with heterogeneous preferences choose among them. Understanding how platforms…

计算机科学与博弈论 · 计算机科学 2026-02-23 Xiukun Wei , Min Shi , Xueru Zhang

We present the following results pertaining to Fisher's market model: -We give two natural generalizations of Fisher's market model: In model M_1, sellers can declare an upper bound on the money they wish to earn (and take back their unsold…

计算机科学与博弈论 · 计算机科学 2016-03-04 Nikhil R. Devanur , Kamal Jain , Tung Mai , Vijay V. Vazirani , Sadra Yazdanbod

Traditional bulk load flexibility options, such as load shifting and load curtailment, for managing uncertainty in power markets limit the diversity of options and ignore the preferences of the individual loads, thus reducing efficiency and…

系统与控制 · 电气工程与系统科学 2021-12-20 Majid Majidi , Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

We study two-sided many-to-one matching markets with transferable utilities, e.g., labor and rental housing markets, in which money can exchange hands between agents, subject to distributional constraints on the set of feasible allocations.…

理论经济学 · 经济学 2022-04-26 Devansh Jalota , Michael Ostrovsky , Marco Pavone

Many resources are provided by an ecological system that is vulnerable to tipping when exceeding a certain level of pollution, with a sudden big loss of ecosystem services. An ecological system is usually also a common-pool resource and…

综合经济学 · 经济学 2026-03-23 Yongyang Cai , Anastasios Xepapadeas , Aart de Zeeuw

Bilevel programs with spatial price equilibrium constraints are strategic models that consider a price competition at the lower level. These models find application in facility location-price models, optimal bidding in power networks, and…

最优化与控制 · 数学 2024-06-25 Akshit Goyal , Jean-Philippe P. Richard

In this paper we study the existence and uniqueness of Nash equilibria (solution to competition-wise problems, with several controls trying to reach possibly different goals) associated to linear partial differential equations and show…

最优化与控制 · 数学 2019-09-02 Angel Manuel Ramos

We investigate stochastic differential games of optimal trading comprising a finite population. There are market frictions in the present framework, which take the form of stochastic permanent and temporary price impacts. Moreover,…

数理金融 · 定量金融 2021-02-09 David Evangelista , Yuri Thamsten

This paper introduces a novel robust trading paradigm, called \textit{multi-double linear policies}, situated within a \textit{generalized} lattice market. Distinctively, our framework departs from most existing robust trading strategies,…

投资组合管理 · 定量金融 2025-04-18 Chung-Han Hsieh , Xin-Yu Wang

In this paper a unifying energy-based approach is provided to the modeling and stability analysis of power systems coupled with market dynamics. We consider a standard model of the power network with a third-order model for the synchronous…

最优化与控制 · 数学 2016-07-28 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

We study Proportional Response Dynamics (PRD) in linear Fisher markets where participants act asynchronously. We model this scenario as a sequential process in which in every step, an adversary selects a subset of the players that will…

计算机科学与博弈论 · 计算机科学 2024-01-17 Yoav Kolumbus , Menahem Levy , Noam Nisan