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In many markets, like electricity or cloud computing markets, providers incur large costs for keeping sufficient capacity in reserve to accommodate demand fluctuations of a mostly fixed user base. These costs are significantly affected by…

计算机科学与博弈论 · 计算机科学 2020-04-07 Ludwig Dierks , Sven Seuken

In the ever evolving landscape of decentralized finance automated market makers (AMMs) play a key role: they provide a market place for trading assets in a decentralized manner. For so-called bluechip pairs, arbitrage activity provides a…

统计金融 · 定量金融 2025-05-16 Abe Alexander , Lars Fritz

We study a general robust utility maximization problem in a discrete-time frictionless market. The investor is assumed to have a possibly infinite, random, nonconcave, and nondecreasing utility function defined on the whole real line. She…

数理金融 · 定量金融 2025-10-14 Laurence Carassus , Massinissa Ferhoune

In this study, we develop a theoretical model of strategic equilibrium bidding and price-setting behaviour by heterogeneous and boundedly rational electricity producers and a grid operator in a single electricity market under uncertain…

物理与社会 · 物理学 2017-04-27 Jobst Heitzig , Hildegard Meyer-Ortmanns , Sabine Auer

Posted price mechanisms are prevalent in allocating goods within online marketplaces due to their simplicity and practical efficiency. We explore a fundamental scenario where buyers' valuations are independent and identically distributed,…

计算机科学与博弈论 · 计算机科学 2025-05-26 José Correa , Vasilis Livanos , Dana Pizarro , Victor Verdugo

We consider the robust utility maximization using a static holding in derivatives and a dynamic holding in the stock. There is no fixed model for the price of the stock but we consider a set of probability measures (models) which are not…

概率论 · 数学 2013-07-19 Erhan Bayraktar , Zhou Zhou

In a market with one safe and one risky asset, an investor with a long horizon, constant investment opportunities, and constant relative risk aversion trades with small proportional transaction costs. We derive explicit formulas for the…

投资组合管理 · 定量金融 2013-01-15 Stefan Gerhold , Paolo Guasoni , Johannes Muhle-Karbe , Walter Schachermayer

We present an open-source solution for the operational control of drinking water distribution networks which accounts for the inherent uncertainty in water demand and electricity prices in the day-ahead market of a volatile deregulated…

最优化与控制 · 数学 2019-04-25 Pantelis Sopasakis , Ajay K. Sampathirao , Alberto Bemporad , Panagiotis Patrinos

This paper proposes a two-step framework for techno-economic analysis of a demand-side flexibility service in distribution networks. Step one applies optimization-based modelling to propose a generic problem formulation which determines the…

系统与控制 · 电气工程与系统科学 2022-01-10 Timur Sayfutdinov , Charalampos Patsios , David Greenwood , Meltem Peker , Ilias Sarantakos

Uniswap -- and other constant product markets -- appear to work well in practice despite their simplicity. In this paper, we give a simple formal analysis of constant product markets and their generalizations, showing that, under some…

交易与市场微观结构 · 定量金融 2021-02-11 Guillermo Angeris , Hsien-Tang Kao , Rei Chiang , Charlie Noyes , Tarun Chitra

We formulate conditions for the solvability of the problem of robust utility maximization from final wealth in continuous time financial markets, without assuming weak compactness of the densities of the uncertainty set, as customary in the…

最优化与控制 · 数学 2015-07-14 Julio Backhoff , Joaquín Fontbona

Nonconvexities in markets with discrete decisions and nonlinear constraints make efficient pricing challenging, often necessitating subsidies. A prime example is the unit commitment (UC) problem in electricity markets, where costly…

最优化与控制 · 数学 2026-02-18 Cheng Guo , Lauren Henderson , Ryan Cory-Wright , Boshi Yang

We address the optimal design of a large scale multi-agent system where each agent has discrete and/or continuous decision variables that need to be set so as to optimize the sum of linear local cost functions, in presence of linear local…

最优化与控制 · 数学 2017-06-28 Alessandro Falsone , Kostas Margellos , Maria Prandini

Market-based mechanisms such as auctions are being studied as an appropriate means for resource allocation in distributed and mulitagent decision problems. When agents value resources in combination rather than in isolation, they must often…

人工智能 · 计算机科学 2013-01-30 Craig Boutilier , Moises Goldszmidt , Bikash Sabata

We consider a stochastic financial incomplete market where the price processes are described by a vector-valued semimartingale that is possibly nonlocally bounded. We face the classical problem of utility maximization from terminal wealth,…

概率论 · 数学 2008-12-18 Sara Biagini , Marco Frittelli

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

概率论 · 数学 2014-01-10 Idris Kharroubi , Huyen Pham

We consider an illiquid financial market where a risk averse investor has to liquidate a portfolio within a finite time horizon [0,T] and can trade continuously at a traditional exchange (the "primary venue") and in a dark pool. At the…

交易与市场微观结构 · 定量金融 2012-08-07 Peter Kratz , Torsten Schöneborn

We consider a discrete-time model of a financial market where a risky asset is bought and sold with transactions having a transient price impact. It is shown that the corresponding utility maximization problem admits a solution. We manage…

投资组合管理 · 定量金融 2025-11-18 Lóránt Nagy , Miklós Rásonyi

The integration of renewable sources poses challenges at the operational and economic levels of the power grid. In terms of keeping the balance between supply and demand, the usual scheme of supply following load may not be appropriate for…

系统与控制 · 计算机科学 2014-04-07 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

We study optimal monopoly pricing over consumer networks governed by general nonlinear utilities. In our framework, a consumer's utility is jointly determined by an individualized price and the consumption choices of their peers, propagated…

统计理论 · 数学 2026-05-15 Daniele Bracale , George Michailidis