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In this paper we consider the distributed linear quadratic control problem for networks of agents with single integrator dynamics. We first establish a general formulation of the distributed LQ problem and show that the optimal control gain…

Optimization and Control · Mathematics 2019-05-14 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

We investigate the market microstructure of Automated Market Makers (AMMs), the most prominent type of blockchain-based decentralized exchanges. We show that the order execution mechanism yields token value loss for liquidity providers if…

Trading and Market Microstructure · Quantitative Finance 2021-07-22 Agostino Capponi , Ruizhe Jia

This paper explores the decentralized control of linear deterministic systems in which different controllers operate based on distinct state information, and extends the findings to the output feedback scenario. Assuming the controllers…

Optimization and Control · Mathematics 2024-09-09 Hongdan Li , Yawen Sun , Huanshui Zhang

As a trusted middleware connecting the blockchain and the real world, the blockchain oracle can obtain trusted real-time price information for financial applications such as payment and settlement, and asset valuation on the blockchain.…

Cryptography and Security · Computer Science 2024-10-17 Youquan Xian , Xueying Zeng , Hao Wu , Danping Yang , Peng Wang , Peng Liu

Decentralized exchanges (DEXes) have introduced an innovative trading mechanism, where it is not necessary to match buy-orders and sell-orders to execute a trade. DEXes execute each trade individually, and the exchange rate is automatically…

Computational Finance · Quantitative Finance 2021-10-12 Lioba Heimbach , Ye Wang , Roger Wattenhofer

When making decisions in a network, it is important to have up-to-date knowledge of the current state of the system. Obtaining this information, however, comes at a cost. In this paper, we determine the optimal finite-time update policy for…

Information Theory · Computer Science 2024-05-21 Eric Graves , Jake B. Perazzone , Kevin Chan

We investigate the behavior of liquidity providers (LPs) by modeling a decentralized cryptocurrency exchange (DEX) based on Uniswap v3. LPs with heterogeneous characteristics choose optimal liquidity positions subject to uncertainty…

Trading and Market Microstructure · Quantitative Finance 2024-04-16 Erhan Bayraktar , Asaf Cohen , April Nellis

Coordination of distributed agents is required for problems arising in many areas, including multi-robot systems, networking and e-commerce. As a formal framework for such problems, we use the decentralized partially observable Markov…

Artificial Intelligence · Computer Science 2014-01-16 Daniel S. Bernstein , Christopher Amato , Eric A. Hansen , Shlomo Zilberstein

We propose a method for analyzing the distributed random coordinate descent algorithm for solving separable resource allocation problems in the context of an open multiagent system, where agents can be replaced during the process. In…

Multiagent Systems · Computer Science 2023-09-21 Charles Monnoyer de Galland , Renato Vizuete , Julien M. Hendrickx , Elena Panteley , Paolo Frasca

We investigate the problems of model estimation and reward-free learning in episodic Block MDPs. In these MDPs, the decision maker has access to rich observations or contexts generated from a small number of latent states. We are first…

Machine Learning · Computer Science 2023-02-27 Yassir Jedra , Junghyun Lee , Alexandre Proutière , Se-Young Yun

In many resource allocation problems, a centralized controller needs to award some resource to a user selected from a collection of distributed users with the goal of maximizing the utility the user would receive from the resource. This can…

Information Theory · Computer Science 2016-04-20 Bradford D. Boyle , Jie Ren , John MacLaren Walsh , Steven Weber

Decentralized optimization is effective to save communication in large-scale machine learning. Although numerous algorithms have been proposed with theoretical guarantees and empirical successes, the performance limits in decentralized…

Machine Learning · Computer Science 2022-10-17 Kun Yuan , Xinmeng Huang , Yiming Chen , Xiaohan Zhang , Yingya Zhang , Pan Pan

We derive a closed form solution for an optimal control problem related to an interbank lending schemes subject to terminal probability constraints on the failure of banks which are interconnected through a financial network. The derived…

Mathematical Finance · Quantitative Finance 2019-10-07 Francesco Cordoni , Luca Di Persio , Luca Prezioso

State-of-the-art decentralized learning algorithms typically require the data distribution to be Independent and Identically Distributed (IID). However, in practical scenarios, the data distribution across the agents can have significant…

Machine Learning · Computer Science 2024-03-07 Sai Aparna Aketi , Sakshi Choudhary , Kaushik Roy

In this review, we evaluate the mechanisms behind the decentralized finance protocols for generating stable, passive income. Currently, such savings interest rates can be as high as 20% annually, payable in traditional currency values such…

Computers and Society · Computer Science 2021-08-16 Hakwan Lau , Stephen Tse

We propose a decentralized penalty method for general convex constrained multi-agent optimization problems. Each auxiliary penalized problem is solved approximately with a special parallel descent splitting method. The method can be…

Optimization and Control · Mathematics 2020-08-11 Igor Konnov

By employing the technique of enlargement of filtrations, we demonstrate how to incorporate information about the future trend of the stochastic interest rate process into a financial model. By modeling the interest rate as an affine…

Pricing of Securities · Quantitative Finance 2025-04-25 Bernardo D'Auria , José Antonio Salmerón

Financial options are fundamental to traditional markets, enabling strategies ranging from hedging to speculating. Yet, while the Automated Market Maker paradigm has revolutionized decentralized spot markets, no equivalent standard has…

Mathematical Finance · Quantitative Finance 2026-05-20 Maxim Bichuch , Zachary Feinstein

Decentralized Finance (DeFi) is a rapidly evolving segment of blockchain technology that enables a transformative approach to financial services through Web3 applications. By leveraging smart contracts, DeFi allows developers to build…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Ignat Melnikov , Roman Vlasov , Vladimir Gorgadze , Andrey Seoev , Yury Yanovich

We propose an efficient protocol for decentralized training of deep neural networks from distributed data sources. The proposed protocol allows to handle different phases of model training equally well and to quickly adapt to concept…

Machine Learning · Computer Science 2018-11-14 Michael Kamp , Linara Adilova , Joachim Sicking , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel