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Related papers: A Utility Framework for Bounded-Loss Market Makers

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Geometric mean market makers (G3Ms), such as Uniswap and Balancer, comprise a popular class of automated market makers (AMMs) defined by the following rule: the reserves of the AMM before and after each trade must have the same (weighted)…

Mathematical Finance · Quantitative Finance 2020-07-16 Alex Evans

Since they were authorized by the U.S. Security and Exchange Commission in 1998, electronic exchanges have boomed, and by 2010 high frequency trading accounted for over 70% of equity trades in the US. Such markets are thought to increase…

Trading and Market Microstructure · Quantitative Finance 2012-10-23 Rene Carmona , Kevin Webster

We propose a continuous-time model of trading with heterogeneous beliefs. Risk-neutral agents face quadratic costs-of-carry on positions and thus their marginal valuations decrease with the size of their position, as it would be the case…

Mathematical Finance · Quantitative Finance 2019-07-31 Marcel Nutz , José A. Scheinkman

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

We study the sensitivity of the expected utility maximization problem in a continuous semi-martingale market with respect to small changes in the market price of risk. Assuming that the preferences of a rational economic agent are modeled…

Portfolio Management · Quantitative Finance 2017-05-24 Oleksii Mostovyi , Mihai Sîrbu

We study a problem inspired by regulated health insurance markets, such as those created by the government in the Affordable Care Act Exchanges or by employers when they contract with private insurers to provide plans for their employees.…

Computer Science and Game Theory · Computer Science 2020-02-18 Meryem Essaidi , Kira Goldner , S. Matthew Weinberg

Recent results, establishing evidence of intractability for such restrictive utility functions as additively separable, piecewise-linear and concave, under both Fisher and Arrow-Debreu market models, have prompted the question of whether we…

Computer Science and Game Theory · Computer Science 2010-10-21 Vijay V. Vazirani

We consider two market designs for a network of prosumers, trading energy: (i) a centralized design which acts as a benchmark, and (ii) a peer-to-peer market design. High renewable energy penetration requires that the energy market design…

Computer Science and Game Theory · Computer Science 2020-04-07 Ilia Shilov , Hélène Le Cadre , Ana Busic

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…

Optimization and Control · Mathematics 2015-07-14 Julio Backhoff , Joaquín Fontbona

In classification with a reject option, the classifier is allowed in uncertain cases to abstain from prediction. The classical cost-based model of a reject option classifier requires the cost of rejection to be defined explicitly. An…

Machine Learning · Computer Science 2021-02-01 V. Franc , D. Prusa , V. Voracek

This paper deals with an optimal position management problem for a market maker who has to face uncertain customer order flows in an illiquid market, where the market maker's continuous trading incurs a stochastic linear price impact.…

Pricing of Securities · Quantitative Finance 2015-09-08 Masaaki Fujii

Automated Market Makers (AMMs) are a central component of decentralized exchanges, yet their equilibrium foundations and microeconomic mechanisms remain incompletely understood. This paper develops a dynamic equilibrium framework for…

General Economics · Economics 2026-03-10 Chengqi Zang , Zhenghui Wang , Weitong Zhang

Financial exchanges provide incentives for limit order book (LOB) liquidity provision to certain market participants, termed designated market makers or designated sponsors. While quoting requirements typically enforce the activity of these…

Statistical Finance · Quantitative Finance 2015-08-19 Efstathios Panayi , Gareth W. Peters , Jon Danielsson , Jean-Pierre Zigrand

This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of…

Trading and Market Microstructure · Quantitative Finance 2010-06-24 Pekka Malo , Teemu Pennanen

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…

Portfolio Management · Quantitative Finance 2025-11-18 Lóránt Nagy , Miklós Rásonyi

We consider a continuous-time market with proportional transaction costs. Under appropriate assumptions we prove the existence of optimal strategies for investors who maximize their worst-case utility over a class of possible models. We…

Mathematical Finance · Quantitative Finance 2018-12-06 Huy N. Chau , Miklos Rasonyi

We look at discovering the impact of market microstructure on equitability for market participants at public exchanges such as the New York Stock Exchange or NASDAQ. Are these environments equitable venues for low-frequency participants…

Multiagent Systems · Computer Science 2021-11-02 Kshama Dwarakanath , Svitlana S Vyetrenko , Tucker Balch

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

We study the problem of fairly allocating indivisible goods among a set of agents. Our focus is on the existence of allocations that give each agent their maximin fair share--the value they are guaranteed if they divide the goods into as…

Computer Science and Game Theory · Computer Science 2024-07-19 Sirin Botan , Angus Ritossa , Mashbat Suzuki , Toby Walsh

Consider a financial market in which an agent trades with utility-induced restrictions on wealth. For a utility function which satisfies the condition of reasonable asymptotic elasticity at $-\infty$ we prove that the utility-based…

Probability · Mathematics 2008-12-10 Frank Oertel , Mark Owen