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We study optimal execution in markets with transient price impact in a competitive setting with $N$ traders. Motivated by prior negative results on the existence of pure Nash equilibria, we consider randomized strategies for the traders and…

Trading and Market Microstructure · Quantitative Finance 2026-05-19 Steven Campbell , Marcel Nutz

We consider the scenario where $N$ utilities strategically bid for electricity in the day-ahead market and balance the mismatch between the committed supply and actual demand in the real-time market, with uncertainty in demand and local…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Tianyu Zhao , Hanling Yi , Minghua Chen , Chenye Wu , Yunjian Xu

We prove the existence of a Radner equilibrium in a model with proportional transaction costs on an infinite time horizon and analyze the effect of transaction costs on the endogenously determined interest rate. Two agents receive…

Mathematical Finance · Quantitative Finance 2018-02-27 Kim Weston

Modeling evolving interactions among entities is critical in many real-world tasks. For example, predicting driver maneuvers in traffic requires tracking how neighboring vehicles accelerate, brake, and change lanes relative to one another…

Artificial Intelligence · Computer Science 2025-09-23 Osama Mohammed , Jiaxin Pan , Mojtaba Nayyeri , Daniel Hernández , Steffen Staab

In the era of a growing population, systemic changes to the world, and the rising risk of crises, humanity has been facing an unprecedented challenge of resource scarcity. Confronting and addressing the issues concerning the scarce…

Theoretical Economics · Economics 2022-11-23 Xiaowei Hu , Peng Li

Equity markets have long been regarded as unpredictable, with intraday price movements treated as stochastic noise. This study challenges that view by introducing the Extended Samuelson Model (ESM), a natural science-based framework that…

General Economics · Economics 2025-10-03 Qingyuan Han

In all empirical-network studies, the observed properties of economic networks are informative only if compared with a well-defined null model that can quantitatively predict the behavior of such properties in constrained graphs. However,…

Data Analysis, Statistics and Probability · Physics 2015-01-14 Giorgio Fagiolo , Tiziano Squartini , Diego Garlaschelli

As operators acting on the undetermined final settlement of a derivative security, expectation is linear but price is non-linear. When the market of underlying securities is incomplete, non-linearity emerges from the bid-offer around the…

Mathematical Finance · Quantitative Finance 2025-09-23 Paul McCloud

A key challenge in e-learning environments like Intelligent Tutoring Systems (ITSs) is to induce effective pedagogical policies efficiently. While Deep Reinforcement Learning (DRL) often suffers from sample inefficiency and reward function…

Machine Learning · Computer Science 2024-06-05 Md Mirajul Islam , Xi Yang , John Hostetter , Adittya Soukarjya Saha , Min Chi

Mixture modelling using elliptical distributions promises enhanced robustness, flexibility and stability over the widely employed Gaussian mixture model (GMM). However, existing studies based on the elliptical mixture model (EMM) are…

Machine Learning · Computer Science 2020-09-30 Shengxi Li , Zeyang Yu , Danilo Mandic

Across machine learning (ML) sub-disciplines, researchers make explicit mathematical assumptions in order to facilitate proof-writing. We note that, specifically in the area of fairness-accuracy trade-off optimization scholarship, similar…

Computers and Society · Computer Science 2021-09-09 A. Feder Cooper , Ellen Abrams

Ethereum is one of the most popular blockchain systems that supports more than half a million transactions every day and fosters miscellaneous decentralized applications with its Turing-complete smart contract machine. Whereas it remains…

Social and Information Networks · Computer Science 2020-01-16 Qianlan Bai , Chao Zhang , Yuedong Xu , Xiaowei Chen , Xin Wang

This paper formulates a model of utility for a continuous time framework that captures the decision-maker's concern with ambiguity about both volatility and drift. Corresponding extensions of some basic results in asset pricing theory are…

Pricing of Securities · Quantitative Finance 2013-01-22 Larry G. Epstein , Shaolin Ji

The Nash equilibrium paradigm, and Rational Choice Theory in general, rely on agents acting independently from each other. This note shows how this assumption is crucial in the definition of Rational Choice Theory. It explains how a…

Computer Science and Game Theory · Computer Science 2017-03-09 Ghislain Fourny

A major problem in fair division is how to allocate a set of indivisible resources among agents fairly and efficiently. The goal of this work is to characterize the tradeoffs between two well-studied measures of fairness and efficiency --…

Computer Science and Game Theory · Computer Science 2024-01-17 Michal Feldman , Simon Mauras , Tomasz Ponitka

In the late 90's, after severe financial and economic crisis, accompanied by inflation and exchange rate instability, Eastern Europe emerged into two groups of countries with radically contrasting monetary regimes (Currency Boards and…

General Finance · Quantitative Finance 2013-03-26 Muhammad Khan , Mazen Kebewar , Nikolay Nenovsky

The efficient market hypothesis (EMH), based on rational expectations and market equilibrium, is the dominant perspective for modelling economic markets. However, the most notable critique of the EMH is the inability to model periods of…

Multiagent Systems · Computer Science 2023-02-14 Benjamin Patrick Evans , Mikhail Prokopenko

How to dynamically measure the local-to-global spatio-temporal coherence between demand and supply networks is a fundamental task for ride-sourcing platforms, such as DiDi. Such coherence measurement is critically important for the…

Optimization and Control · Mathematics 2021-03-24 Fan Zhou , Shikai Luo , Xiaohu Qie , Jieping Ye , Hongtu Zhu

This paper exploits the Duration-of-Use of the demand patterns as a key concept for dealing with demand side flexibility. Starting from the consideration that fine-grained energy metering is not used at the point of supply of the…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Gianfranco Chicco , Andrea Mazza

Blockchain enables peer-to-peer transactions in cyberspace without a trusted third party. The rapid growth of Ethereum and smart contract blockchains generally calls for well-designed Transaction Fee Mechanisms (TFMs) to allocate limited…

General Economics · Economics 2023-05-05 Luyao Zhang , Fan Zhang