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Electricity markets are experiencing a rapid increase in energy storage unit participation. Unlike conventional generation resources, quantifying the competitive operation and identifying if a storage unit is exercising market power is…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Yiqian Wu , Bolun Xu , James Anderson

Pricing and settlement mechanisms are crucial for efficient re-source allocation, investment incentives, market competition, and regulatory oversight. In the United States, Regional Transmission Operators (RTOs) adopts a uniform pricing…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Hamid Davoudi , Fengyu Wang , Yonghong Chen , Di Shi , Alinson Xavier , Feng Qiu

The energy transition is expected to significantly increase the share of renewable energy sources whose production is intermittent in the electricity mix. Apart from key benefits, this development has the major drawback of generating a…

Trading and Market Microstructure · Quantitative Finance 2023-01-30 Thibaut Théate , Antonio Sutera , Damien Ernst

This paper describe the implementation details of constant ellipse based automated market makers (CoinSwap). A CoinSwap prototype has been implemented at http://coinswapapp.io/ and the source codes are available at…

Cryptography and Security · Computer Science 2021-03-08 Yongge Wang

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes since they do not allow for proper predictability removal: for instance the exploitation of a single large trade whose size…

Physics and Society · Physics 2010-01-27 Damien Challet

We study decentralized markets for goods whose utility perishes in time, with compute as a primary motivation. Recent advances in reproducible and verifiable execution allow jobs to pause, verify, and resume across heterogeneous hardware,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

This paper presents an application of mean field control to dynamic production optimization. Both noncooperative and cooperative solutions are considered. We first introduce a market of a large number of agents (firms) with sticky prices…

Optimization and Control · Mathematics 2018-10-02 Bingchang Wang , Minyi Huang

With the increasing integration of power plants into the frequency-regulation markets, the importance of optimal trading has grown substantially. This paper conducts an in-depth analysis of their optimal trading behavior in sequential…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Saeed Nordin , Abolfazl Khodadadi , Priyanka Shinde , Evelin Blom , Mohammad Reza Hesamzadeh , Lennart Söder

The mean-field variant of the model of limit order driven market introduced recently by Maslov is formulated and solved. The agents do not have any strategies and the memory of the system is kept within the order book. We show that he…

Statistical Mechanics · Physics 2009-11-07 Frantisek Slanina

In this work, we aim to reconcile several apparently contradictory observations in market microstructure: is the famous "square-root law" of metaorder impact, which decays with time, compatible with the random-walk nature of prices and the…

Trading and Market Microstructure · Quantitative Finance 2026-03-05 Guillaume Maitrier , Jean-Philippe Bouchaud

Silkswap is an automated market maker model designed for efficient stablecoin trading with minimal price impact. The original purpose of Silkswap is to facilitate the trading of fiat-pegged stablecoins with the stablecoin Silk, but it can…

Computational Finance · Quantitative Finance 2023-02-16 Nicola Cantarutti , Alex Harker , Carter Woetzel

This paper compares mathematical models for automated market makers including logarithmic market scoring rule (LMSR), liquidity sensitive LMSR (LS-LMSR), constant product/mean/sum, and others. It is shown that though LMSR may not be a good…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Yongge Wang

We study an equilibrium-based continuous asset pricing problem for the securities market. In the previous work [16], we have shown that a certain price process, which is given by the solution to a forward backward stochastic differential…

Mathematical Finance · Quantitative Finance 2021-12-13 Masaaki Fujii , Akihiko Takahashi

We consider the consumption-based asset pricing model, derive a new modified basic pricing equation, and present its successive approximations using the Taylor series expansions of the investor's utility during the averaging time interval.…

General Economics · Economics 2024-01-18 Victor Olkhov

We introduce a notion of substitutability for correspondences and establish a monotone comparative static result, unifying results such as the inverse isotonicity of M-matrices, Berry, Gandhi and Haile's identification of demand systems,…

Theoretical Economics · Economics 2022-07-15 Alfred Galichon , Larry Samuelson , Lucas Vernet

The increasing penetration of variable renewable energy and flexible demand technologies, such as electric vehicles and heat pumps, introduces significant uncertainty in power systems, resulting in greater imbalance; defined as the…

Statistical Finance · Quantitative Finance 2025-09-08 Timothée Hornek , Sergio Potenciano Menci , Ivan Pavić

In this paper, we assume that the permanent market impact of metaorders is linear and that the price is a martingale. Those two hypotheses enable us to derive the evolution of the price from the dynamics of the flow of market orders. For…

Trading and Market Microstructure · Quantitative Finance 2014-02-07 Thibault Jaisson

This paper addresses the decentralized coordinated charging problem for a large population of battery storage agents (e.g. residential batteries, electrical vehicles, charging station batteries) using Mean Field Game (MFG). Agents are…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Nour Al Dandachly , Shuang Gao , Roland Malhamé

The average economic agent is often used to model the dynamics of simple markets, based on the assumption that the dynamics of many agents can be averaged over in time and space. A popular idea that is based on this seemingly intuitive…

Trading and Market Microstructure · Quantitative Finance 2015-07-29 Sebastian M. Krause , Stefan Boerries , Stefan Bornholdt

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens
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