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Dynamic pricing is the practice of adjusting the selling price of a product to maximize a firm's revenue by responding to market demand. The literature typically distinguishes between two settings: infinite inventory, where the firm has…

Machine Learning · Computer Science 2025-10-15 Anush Anand , Pranav Agrawal , Tejas Bodas

In this paper we study the evolution of asset price bubbles driven by contagion effects spreading among investors via a random matching mechanism in a discrete-time version of the liquidity based model of [25]. To this scope, we extend the…

Mathematical Finance · Quantitative Finance 2022-11-03 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis , Katharina Oberpriller

This study explores the behavioral dynamics of illiquid stock prices in a listed stock market. Illiquidity, characterized by wide bid and ask spreads affects price formation by decoupling prices from standard risk and return relationships…

Statistical Finance · Quantitative Finance 2025-09-16 Erina Nanyonga , Juma Kasozi , Fred Mayambala , Hassan W. Kayondo , Matt Davison

Global supply networks in agriculture, manufacturing, and services are a defining feature of the modern world. The efficiency and the distribution of surpluses across different parts of these networks depend on choices of intermediaries.…

General Finance · Quantitative Finance 2019-06-05 Felipe M. Cardoso , Carlos Gracia-Lazaro , Frederic Moisan , Sanjeev Goyal , Angel Sanchez , Yamir Moreno

Liquidity providers (LPs) on decentralized exchanges (DEXs) can protect themselves from adverse selection risk by updating their positions more frequently. However, repositioning is costly, because LPs have to pay gas fees for each update.…

Trading and Market Microstructure · Quantitative Finance 2024-03-20 Basile Caparros , Amit Chaudhary , Olga Klein

In two previous papers the author developed a second-order price adjustment (t\^atonnement) process. This paper extends the approach to include both quantity and price adjustments. We demonstrate three results: a analogue to physical…

General Finance · Quantitative Finance 2012-04-17 Eric Kemp-Benedict

We study the dynamics of a generalized Minority Game (GMG) and of the Bar Attendance Model (BAM) in which a number of agents self-organize to match an attendance that is fixed externally as a control parameter. We compare the usual dynamics…

Condensed Matter · Physics 2009-10-31 E. Burgos , H. Ceva , R. P. J. Perazzo

Constant Product Market Makers use fees that are typically fixed proportions of trade size. When these fees are automatically reinvested into the pool, as in Uniswap~V2 and some designs of Uniswap V4, the final state after a trade can…

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

We study the trading activity of designated market makers (DMMs) in electronic markets using a unique dataset with audit-trail information on trader classification. DMMs may either adhere to their market-making agreements and offer…

Econometrics · Economics 2026-02-03 Mario Bellia , Kim Christensen , Aleksey Kolokolov , Loriana Pelizzon , Roberto Renò

We develop an axiomatic theory for Automated Market Makers (AMMs) in local energy sharing markets and analyze the Markov Perfect Equilibrium of the resulting economy with a Mean-Field Game. In this game, heterogeneous prosumers solve a…

Theoretical Economics · Economics 2026-01-01 Michele Fabi , Viraj Nadkarni , Leonardo Leone , Matheus X. V. Ferreira

This study deals with the problem of pricing compound options when the underlying asset follows a mixed fractional Brownian motion with jumps. An analytic formula for compound options is derived under the risk neutral measure. Then, these…

Pricing of Securities · Quantitative Finance 2019-04-09 Foad Shokrollahi

Flight delay is a significant issue affecting air travel. The runway system, frequently falling short of demand, serves as a bottleneck. As demand increases, runway capacity expansion becomes imperative to mitigate congestion. However, the…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Ziyue Li , Joseph Y. J. Chow , Qianwen Guo

Triangle fees are a novel fee structure for AMMs, in which marginal fees are decreasing in a trade's size. That decline is proportional to the movement in the AMM's implied price, i.e. for every basis point the trade moves the ratio of…

Mathematical Finance · Quantitative Finance 2023-07-03 Rithvik Rao , Nihar Shah

This paper proposes a novel model of financial prices where: (i) prices are discrete; (ii) prices change in continuous time; (iii) a high proportion of price changes are reversed in a fraction of a second. Our model is analytically…

Trading and Market Microstructure · Quantitative Finance 2024-06-21 Neil Shephard , Justin J. Yang

The sub-fractional Brownian motion (sfBm) is a stochastic process, characterized by non-stationarity in their increments and long-range dependency, considered as an intermediate step between the standard Brownian motion (Bm) and the…

Mathematical Finance · Quantitative Finance 2021-04-09 Axel A. Araneda , Nils Bertschinger

In traditional finance, the Black & Scholes model has guided almost 50 years of derivatives pricing, defining a standard to model any volatility-based product. With the rise of Decentralized Finance (DeFi) and constant product Automated…

Mathematical Finance · Quantitative Finance 2023-03-13 Niccolò Bardoscia , Alessandro Nodari

Traditional market makers are losing their importance as automated systems have largely assumed the role of liquidity provision in markets. We update the model of Glosten and Milgrom (1985) to analyze this new world: we add multiple…

Trading and Market Microstructure · Quantitative Finance 2010-07-15 Austin Gerig , David Michayluk

Gradient Boosting Machine (GBM) is an extremely powerful supervised learning algorithm that is widely used in practice. GBM routinely features as a leading algorithm in machine learning competitions such as Kaggle and the KDDCup. In this…

Machine Learning · Computer Science 2020-08-28 Haihao Lu , Sai Praneeth Karimireddy , Natalia Ponomareva , Vahab Mirrokni

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

Prediction markets rely on liquidity to convert trades into informative prices, yet existing mechanisms fix liquidity ex ante. This restriction enforces a static trade-off between price responsiveness and worst-case loss despite inherently…

Computer Science and Game Theory · Computer Science 2026-05-12 Enrique Nueve , Bao Nguyen , Rafael Frongillo , Bo Waggoner