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We study the role of a market maker (or market operator) in a transmission constrained electricity market. We model the market as a one-shot networked Cournot competition where generators supply quantity bids and load serving entities…

计算机科学与博弈论 · 计算机科学 2014-03-31 Subhonmesh Bose , Desmond Cai , Steven Low , Adam Wierman

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…

系统与控制 · 电气工程与系统科学 2021-09-15 Tianyu Zhao , Hanling Yi , Minghua Chen , Chenye Wu , Yunjian Xu

We study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by the minimisation of some cost, related to optimal transport. This cost is not convex in the usual sense in general but it turns out…

偏微分方程分析 · 数学 2012-06-29 Adrien Blanchet , Guillaume Carlier

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

综合金融 · 定量金融 2016-05-18 Michail Anthropelos

We study equilibrium concepts in non-cooperative games under uncertainty where both beliefs and mixed strategies are represented by non-additive measures (capacities). In contrast to the classical Nash framework based on additive…

计算机科学与博弈论 · 计算机科学 2026-03-06 Taras Radul

In this study, we analyze an advertising competition in a duopoly. We consider two different notions of equilibrium. We model the companies in the duopoly as major players, and the consumers as minor players. In our first game model we…

最优化与控制 · 数学 2022-01-17 Rene Carmona , Gokce Dayanikli

This paper studies a stochastic utility maximization game under relative performance concerns in finite agent and infinite agent settings, where a continuum of agents interact through a graphon (see definition below). We consider an…

数理金融 · 定量金融 2023-02-22 Ludovic Tangpi , Xuchen Zhou

In this paper, we investigate the multiplayer General Lotto game across multiple battlefields, a significant variant of the Colonel Blotto game. In this version, each player employs a probability distribution for resource allocation,…

计算机科学与博弈论 · 计算机科学 2025-10-07 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

Many economic transactions, including those of online markets, have a time lag between the start and end times of transactions. Customers need to wait for completion of their transaction (order fulfillment) and hence are also interested in…

最优化与控制 · 数学 2018-10-19 Manu K. Gupta , N. Hemachandra

We study generalized games with full row rank equality constraints and we provide a strikingly simple proof of strong monotonicity of the associated KKT operator. This allows us to show linear convergence to a variational equilibrium of the…

最优化与控制 · 数学 2023-04-20 Mattia Bianchi , Emilio Benenati , Sergio Grammatico

We study Cournot competition among firms in a networked marketplace that is centrally managed by a market maker. In particular, we study a situation in which a market maker facilitates trade between geographically separate markets via a…

计算机科学与博弈论 · 计算机科学 2019-04-22 Desmond Cai , Subhonmesh Bose , Adam Wierman

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

计算机科学与博弈论 · 计算机科学 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

We investigate a portfolio selection problem involving multi competitive agents, each exhibiting mean-variance preferences. Unlike classical models, each agent's utility is determined by their relative wealth compared to the average wealth…

最优化与控制 · 数学 2025-11-10 Guojiang Shao , Zuo Quan Xu , Qi Zhang

We consider a large population dynamic game in discrete time. The peculiarity of the game is that players are characterized by time-evolving types, and so reasonably their actions should not anticipate the future values of their types. When…

最优化与控制 · 数学 2020-11-19 Beatrice Acciaio , Julio Backhoff-Veraguas , Junchao Jia

The global dynamics is investigated for a duopoly game where the perfect foresight hypothesis is relaxed and firms are worst-case maximizers. Overlooking the degree of product substitutability as well as the sensitivity of price to…

理论经济学 · 经济学 2023-11-21 Davide Radi , Laura Gardini

In this note we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems where the data…

最优化与控制 · 数学 2014-06-26 Baasansuren Jadamba , Fabio Raciti

Shared-constraint games are noncooperative $N$-player games where players are coupled through a common coupling constraint. It is known that such games admit two kinds of equilibria -- generalized Nash equilibria (GNE) and variational…

计算机科学与博弈论 · 计算机科学 2019-08-05 Ankur A. Kulkarni

We construct Nash equilibria in feedback form for a class of two-person stochastic games of singular control with absorption, arising from a stylized model for corporate finance. More precisely, the paper focusses on a strategic dynamic…

最优化与控制 · 数学 2025-07-04 Tiziano De Angelis , Fabien Gensbittel , Stéphane Villeneuve

While it is known that shared quantum entanglement can offer improved solutions to a number of purely cooperative tasks for groups of remote agents, controversy remains regarding the legitimacy of quantum games in a competitive setting--in…

量子物理 · 物理学 2015-05-14 Charles D. Hill , Adrian P. Flitney , Nicolas C. Menicucci

This note is devoted to study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by minimisation of some cost related to Optimal Transport. In particular we focus on the case of an Optimal…

最优化与控制 · 数学 2022-09-30 Luca Nenna , Brendan Pass