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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 present a new competitive packet routing model with edge priorities. We consider players that route selfishly through a network over time and try to reach their destinations as fast as possible. If the number of players who…

Computer Science and Game Theory · Computer Science 2018-08-22 Robert Scheffler , Martin Strehler , Laura Vargas Koch

We study the perfect information Nash equilibrium between a broker and her clients -- an informed trader and an uniformed trader. In our model, the broker trades in the lit exchange where trades have instantaneous and transient price impact…

Trading and Market Microstructure · Quantitative Finance 2025-07-23 Álvaro Cartea , Sebastian Jaimungal , Leandro Sánchez-Betancourt

We address Nash equilibrium problems in a partial-decision information scenario, where each agent can only exchange information with some neighbors, while its cost function possibly depends on the strategies of all agents. We characterize…

Optimization and Control · Mathematics 2022-06-24 Mattia Bianchi , Sergio Grammatico

We consider a symmetric two-player contest, in which the choice set of effort is constrained. We apply a fundamental property of the payoff function to show that, under standard assumptions, there exists a unique Nash equilibrium in pure…

Theoretical Economics · Economics 2020-09-15 Doron Klunover , John Morgan

We study optimal execution in markets with transient price impact in a competitive setting with $N$ traders. Motivated by prior negative results on the existence of pure Nash equilibria, we consider randomized strategies for the traders and…

Trading and Market Microstructure · Quantitative Finance 2026-05-19 Steven Campbell , Marcel Nutz

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…

Optimization and Control · Mathematics 2018-10-19 Manu K. Gupta , N. Hemachandra

In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer, or a group of producers, can attain depends on the amount of common-pool…

Optimization and Control · Mathematics 2019-12-09 Elisabeth Gutierrez , Natividad Llorca , Joaquin Sanchez-Soriano , Manuel Mosquera

We consider a situation where wireless service providers compete for heterogenous wireless users. The users differ in their willingness to pay as well as in their individual channel gains. We prove existence and uniqueness of the Nash…

Information Theory · Computer Science 2009-03-12 Vojislav Gajic , Jianwei Huang , Bixio Rimoldi

We consider the problem in which n items arrive to a market sequentially over time, where two agents compete to choose the best possible item. When an agent selects an item, he leaves the market and obtains a payoff given by the value of…

Computer Science and Game Theory · Computer Science 2022-04-12 Fabien Gensbittel , Dana Pizarro , Jérôme Renault

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

We introduce a game model called "customer attraction game" to demonstrate the competition among online content providers. In this model, customers exhibit interest in various topics. Each content provider selects one topic and benefits…

Computer Science and Game Theory · Computer Science 2024-10-11 Xiaotie Deng , Hangxin Gan , Ningyuan Li , Weian Li , Qi Qi

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

Computer Science and Game Theory · Computer Science 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner

We consider the computational complexity of computing Bayes-Nash equilibria in first-price auctions, where the bidders' values for the item are drawn from a general (possibly correlated) joint distribution. We show that when the values and…

Computer Science and Game Theory · Computer Science 2025-06-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

We provide an exact analytical solution of the Nash equilibrium for the $k$th price auction by using inverse of distribution functions. As applications, we identify the unique symmetric equilibrium where the valuations have polynomial…

Theoretical Economics · Economics 2020-06-22 Martin Mihelich , Yan Shu

This paper investigates inventory management in a multi channel distribution system consisting of one manufacturer and an arbitrary number of retailers that face stochastic demand. Existence of the pure Nash equilibrium is proved and…

Computer Science and Game Theory · Computer Science 2009-06-02 Mahtab Hoseininia , Farzad Didehvar , Mir Mehdi Seyyed Esfahani

The paper deals with a class of parametrized equilibrium problems, where the objectives of the players do possess nonsmooth terms. The respective Nash equilibria can be characterized via a parameter-dependent variational inequality of the…

Optimization and Control · Mathematics 2019-11-06 Jiří V. Outrata , Jan Valdman

This paper studies a class of network games with linear-quadratic payoffs and externalities exerted through a strictly concave interaction function. This class of game is motivated by the diminishing marginal effects with peer influences.…

Optimization and Control · Mathematics 2024-06-04 Jiamin Cai , Chenyue Zhang , Hoi-To Wai

We consider a queuing network that opens at a specified time, where customers are non-atomic and belong to different classes. Each class has its own route, and as is typical in the literature, the costs are a linear function of waiting and…

Performance · Computer Science 2025-12-09 Agniv Bandyopadhyay , Sandeep Juneja

We study interactions with uncertainty about demand sensitivity. In our solution concept (1) firms choose seemingly-optimal strategies given the level of sophistication of their data analytics, and (2) the levels of sophistication form best…

Theoretical Economics · Economics 2021-04-06 Ron Berman , Yuval Heller