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Model uncertainty is a type of inevitable financial risk. Mistakes on the choice of pricing model may cause great financial losses. In this paper we investigate financial markets with mean-volatility uncertainty. Models for stock markets…

Pricing of Securities · Quantitative Finance 2014-07-31 Yuhong Xu

This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by…

Probability · Mathematics 2016-09-05 Umut Çetin , Albina Danilova

This paper studies self-sustained dynamic multiagent systems (MAS) for decentralized resource allocation operating at a competitive equilibrium over a finite horizon. The utility of resource consumption, along with the income from resource…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

This work builds on the theoretical frameworks presented in "Liquidity pools as mean field games: A new framework" and "Liquidity pools as mean field games with transaction costs" by the same author, where the strategic interactions among…

Optimization and Control · Mathematics 2026-03-19 Agustín Muñoz González

This paper studies the problem of optimal investment in incomplete markets, robust with respect to stopping times. We work on a Brownian motion framework and the stopping times are adapted to the Brownian filtration. Robustness can only be…

Probability · Mathematics 2008-12-02 Traian A Pirvu , Ulrich G Haussmann

We study a type of reverse (procurement) auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same…

Computer Science and Game Theory · Computer Science 2016-10-05 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

In this paper I empirically investigate prediction markets for binary options. Advocates of prediction markets have suggested that asset prices are consistent estimators of the "true" probability of a state of the world being realized. I…

Economics · Quantitative Finance 2016-09-13 Joachim R. Groeger

We consider the setting in which an electric power utility seeks to curtail its peak electricity demand by offering a fixed group of customers a uniform price for reductions in consumption relative to their predetermined baselines. The…

Machine Learning · Computer Science 2018-06-20 Kia Khezeli , Eilyan Bitar

We model the behavior of three agent classes acting dynamically in a limit order book of a financial asset. Namely, we consider market makers (MM), high-frequency trading (HFT) firms, and institutional brokers (IB). Given a prior dynamic of…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Nicolas Baradel , Bruno Bouchard , David Evangelista , Othmane Mounjid

We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader-follower…

Trading and Market Microstructure · Quantitative Finance 2025-03-31 Alif Aqsha , Philippe Bergault , Leandro Sánchez-Betancourt

Large deployment of distribute energy resources and the increasing awareness of end-users towards their energy procurement are challenging current practices of electricity markets. A change of paradigm, from a top-down hierarchical approach…

Optimization and Control · Mathematics 2020-09-18 Fabio Moret , Andrea Tosatto , Thomas Baroche , Pierre Pinson

Serverless computing platforms currently rely on basic pricing schemes that are static and do not reflect customer feedback. This leads to significant inefficiencies from a total utility perspective. As one of the fastest-growing cloud…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-26 Vipul Gupta , Soham Phade , Thomas Courtade , Kannan Ramchandran

We adress the maximization problem of expected utility from terminal wealth. The special feature of this paper is that we consider a financial market where the price process of risky assets can have a default time. Using dynamic…

Computational Finance · Quantitative Finance 2010-07-13 Thomas Lim , Marie-Claire Quenez

We study competitive equilibrium in the canonical Fisher market model, but with indivisible goods. In this model, every agent has a budget of artificial currency with which to purchase bundles of goods. Equilibrium prices match between…

Computer Science and Game Theory · Computer Science 2019-11-25 Moshe Babaioff , Noam Nisan , Inbal Talgam-Cohen

Stability of the utility maximization problem with random endowment and indifference prices is studied for a sequence of financial markets in an incomplete Brownian setting. Our novelty lies in the nonequivalence of markets, in which the…

Portfolio Management · Quantitative Finance 2015-06-25 Kim Weston

We study a robust utility maximization problem in the case of an incomplete market and logarithmic utility with general stochastic constraints, not necessarily convex. Our problem is equivalent to maximizing of nonlinear expected…

Mathematical Finance · Quantitative Finance 2024-06-17 Wahid Faidi

In this paper we investigate a utility maximization problem with drift uncertainty in a multivariate continuous-time Black-Scholes type financial market which may be incomplete. We impose a constraint on the admissible strategies that…

Portfolio Management · Quantitative Finance 2021-11-04 Jörn Sass , Dorothee Westphal

We consider the issue of a market maker acting at the same time in the lit and dark pools of an exchange. The exchange wishes to establish a suitable make-take fees policy to attract transactions on its venues. We first solve the stochastic…

Mathematical Finance · Quantitative Finance 2019-12-04 Bastien Baldacci , Iuliia Manziuk , Thibaut Mastrolia , Mathieu Rosenbaum

In a financial market with a continuous price process and proportional transaction costs we investigate the problem of utility maximization of terminal wealth. We give sufficient conditions for the existence of a shadow price process,…

Portfolio Management · Quantitative Finance 2015-05-06 Christoph Czichowsky , Walter Schachermayer , Junjian Yang

Load-serving entities which procure electricity from the wholesale electricity market to service end-users face significant quantity and price risks due to the volatile nature of electricity demand and quasi-fixed residential tariffs at…

Systems and Control · Computer Science 2017-03-21 Datong P. Zhou , Munther A. Dahleh , Claire J. Tomlin
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