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We consider the problem of maximizing expected utility from consumption in a constrained incomplete semimartingale market with a random endowment process, and establish a general existence and uniqueness result using techniques from convex…

Portfolio Management · Quantitative Finance 2008-12-10 Ioannis Karatzas , Gordan Zitkovic

Most inverse optimization models impute unspecified parameters of an objective function to make an observed solution optimal for a given optimization problem with a fixed feasible set. We propose two approaches to impute unspecified…

Optimization and Control · Mathematics 2019-07-19 Timothy C. Y. Chan , Neal Kaw

In this paper we generalize Hardy-Rogers maps in the context of coupled fixed points. We generalizes with the help of the obtained main theorem some known results about existence and uniqueness of market equilibrium in duopoly markets. We…

Trading and Market Microstructure · Quantitative Finance 2021-10-05 S. Kabaivanov , V. Zhelinski , B. Zlatanov

In this work, we conduct a comparative study on two deep unfolding mechanisms to efficiently perform power control in the next generation wireless networks. The power control problem is formulated as energy efficiency over multiple…

Networking and Internet Architecture · Computer Science 2024-03-29 Abuzar B. M. Adam , Mohammed A. M. Elhassan , Elhadj Moustapha Diallo

A simple computer simulation model of a closed market on a fixed network with free flow of goods and money is introduced. The model contains only two variables : the amount of goods and money beside the size of the system. An initially flat…

Adaptation and Self-Organizing Systems · Physics 2012-09-25 Marcel Ausloos , Andrzej Pekalski

Electricity markets differ in their ability to meet power imbalances in short notice in a controlled fashion. Relatively flexible markets have the ability to ramp up (or down) power flows across interties without compromising their ability…

Computer Science and Game Theory · Computer Science 2022-03-01 Hossein Khazaei , Ceyhun Eksin , Roohallah Khatami , Alfredo Garcia

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…

Optimization and Control · Mathematics 2024-06-25 Akshit Goyal , Jean-Philippe P. Richard

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

In bandwidth allocation, competing agents wish to transmit data along paths of links in a network, and each agent's utility is equal to the minimum bandwidth she receives among all links in her desired path. Recent market mechanisms for…

Computer Science and Game Theory · Computer Science 2019-05-08 Benjamin Plaut

Linear Fisher markets are a fundamental economic model with applications in fair division as well as large-scale Internet markets. In the finite-dimensional case of $n$ buyers and $m$ items, a market equilibrium can be computed using the…

Computer Science and Game Theory · Computer Science 2021-04-06 Yuan Gao , Christian Kroer

In this article, a survey of several important equilibrium concepts for decentralized networks is presented. The term decentralized is used here to refer to scenarios where decisions (e.g., choosing a power allocation policy) are taken…

Machine Learning · Computer Science 2016-11-17 Luca Rose , Samir M. Perlaza , Samson Lasaulce , Mérouane Debbah

To the best of our knowledge, this paper proposes for the first time a design of a continuous local flexibility market that explicitly considers network constraints. Continuous markets are expected to be the most appropriate design option…

Optimization and Control · Mathematics 2022-10-12 Eléa Prat , Lars Herre , Jalal Kazempour , Spyros Chatzivasileiadis

The problem of market clearing is to set a price for an item such that quantity demanded equals quantity supplied. In this work, we cast the problem of predicting clearing prices into a learning framework and use the resulting models to…

Machine Learning · Computer Science 2019-06-25 Weiran Shen , Sébastien Lahaie , Renato Paes Leme

The present work generalizes the analytical results of Petrikaite (2016) to a market where more than two firms interact. As a consequence, for a generic number of firms in the oligopoly model described by Janssen et al (2005), the…

Theoretical Economics · Economics 2021-05-06 Jacopo De Tullio , Giuseppe Puleio

The combination of the network theoretic approach with recently available abundant economic data leads to the development of novel analytic and computational tools for modelling and forecasting key economic indicators. The main idea is to…

General Finance · Quantitative Finance 2014-03-05 Andreas Joseph , Irena Vodenska , Eugene Stanley , Guanrong Chen

In this paper, we investigate a distributed learning scheme for a broad class of stochastic optimization problems and games that arise in signal processing and wireless communications. The proposed algorithm relies on the method of matrix…

Information Theory · Computer Science 2017-04-05 Panayotis Mertikopoulos , E. Veronica Belmega , Romain Negrel , Luca Sanguinetti

Recent trends express the impact of prosumers and small energy resources and storages in distribution systems, due to the increasing uptake of renewable resources. This research studies the effect of coordination of distributed resources…

Optimization and Control · Mathematics 2021-05-24 Amir Noori , Babak Tavassoli , Alireza Fereidunian

We discuss how minimal financial market models can be constructed by bridging the gap between two existing, but incomplete, market models: a model in which a population of virtual traders make decisions based on common global information…

Trading and Market Microstructure · Quantitative Finance 2008-12-16 Andy Kirou , Blazej Ruszczycki , Markus Walser , Neil F. Johnson

This chapter deals with decentralized learning algorithms for in-network processing of graph-valued data. A generic learning problem is formulated and recast into a separable form, which is iteratively minimized using the…

Optimization and Control · Mathematics 2015-04-01 Georgios B. Giannakis , Qing Ling , Gonzalo Mateos , Ioannis D. Schizas , Hao Zhu

Network economics is the study of a rich class of equilibrium problems that occur in the real world, from traffic management to supply chains and two-sided online marketplaces. In this paper we explore causal inference in network economics,…

Optimization and Control · Mathematics 2021-09-24 Sridhar Mahadevan