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In the information-based pricing framework of Brody, Hughston and Macrina, the market filtration $\{ \mathcal F_t\}_{t\geq 0}$ is generated by an information process $\{ \xi_t\}_{t\geq0}$ defined in such a way that at some fixed time $T$ an…

Mathematical Finance · Quantitative Finance 2020-10-01 Lane P. Hughston , Leandro Sánchez-Betancourt

The robust option pricing problem is to find upper and lower bounds on fair prices of financial claims using only the most minimal assumptions. It contrasts with the classical, model-based approach and gained prominence in the wake of the…

Mathematical Finance · Quantitative Finance 2023-12-15 Alexander M. G. Cox , Annemarie M. Grass

We study the price-setting problem of market makers under risk neutrality and perfect competition in continuous time. Thereby we follow the classic Glosten-Milgrom model that defines bid and ask prices as expectations of a true value of the…

Trading and Market Microstructure · Quantitative Finance 2012-10-16 Christoph Kühn , Matthias Riedel

In this paper, we describe a novel agent-based approach for modelling the transaction cost of buying or selling an asset in financial markets, e.g., to liquidate a large position as a result of a margin call to meet financial obligations.…

Trading and Market Microstructure · Quantitative Finance 2025-05-22 Perukrishnen Vytelingum , Rory Baggott , Namid Stillman , Jianfei Zhang , Dingqiu Zhu , Tao Chen , Justin Lyon

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

Computational Finance · Quantitative Finance 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

We consider the mean-variance hedging problem under partial Information. The underlying asset price process follows a continuous semimartingale and strategies have to be constructed when only part of the information in the market is…

Probability · Mathematics 2008-12-10 M. Mania , R. Tevzadze , T. Toronjadze

We consider the computation of model-free bounds for multi-asset options in a setting that combines dependence uncertainty with additional information on the dependence structure. More specifically, we consider the setting where the…

Pricing of Securities · Quantitative Finance 2024-04-04 Evangelia Dragazi , Shuaiqiang Liu , Antonis Papapantoleon

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time,…

Mathematical Finance · Quantitative Finance 2017-09-29 Erhan Bayraktar , Gu Wang

A first attempt at obtaining market--directional information from a non--stationary solution of the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. We demonstrate…

Trading and Market Microstructure · Quantitative Finance 2019-03-29 Vladislav Gennadievich Malyshkin

We study a dynamic market setting where an intermediary interacts with an unknown large sequence of agents that can be either sellers or buyers: their identities, as well as the sequence length $n$, are decided in an adversarial, online…

Computer Science and Game Theory · Computer Science 2017-03-29 Yiannis Giannakopoulos , Elias Koutsoupias , Philip Lazos

Market making refers to a form of trading in financial markets characterized by passive orders which add liquidity to limit order books. Market makers are important for the proper functioning of financial markets worldwide. Given the…

Mathematical Finance · Quantitative Finance 2024-07-24 Timothy DeLise

We consider a generalization of the third degree price discrimination problem studied in Bergemann et al. (2015), where an intermediary between the buyer and the seller can design market segments to maximize any linear combination of…

Computer Science and Game Theory · Computer Science 2019-12-13 Rachel Cummings , Nikhil R. Devanur , Zhiyi Huang , Xiangning Wang

Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

Standard approaches to the theory of financial markets are based on equilibrium and efficiency. Here we develop an alternative based on concepts and methods developed by biologists, in which the wealth invested in a financial strategy is…

General Finance · Quantitative Finance 2022-10-12 Maarten P. Scholl , Anisoara Calinescu , J. Doyne Farmer

This paper studies optimal mechanisms for collecting and trading data. Consumers benefit from revealing information about their tastes to a service provider because this improves the service. However, the information is also valuable to a…

Theoretical Economics · Economics 2026-01-29 Jiadong Gu

We study a single-buyer pricing problem with unreliable side information, motivated by the increasing use of AI-assisted decision-making and LLM-based predictions. The seller observes a private sample that may be either accurate (coinciding…

Computer Science and Game Theory · Computer Science 2026-04-06 Zhihao Gavin Tang , Yixin Tao , Shixin Wang

We design three continuous--time models in finite horizon of a commodity price, whose dynamics can be affected by the actions of a representative risk--neutral producer and a representative risk--neutral trader. Depending on the model, the…

Mathematical Finance · Quantitative Finance 2020-03-04 René Aïd , Giorgia Callegaro , Luciano Campi

The ultimate value of theories of the fundamental mechanisms comprising the asset price in financial systems will be reflected in the capacity of such theories to understand these systems. Although the models that explain the various states…

Trading and Market Microstructure · Quantitative Finance 2016-04-27 Kyubin Yim , Gabjin Oh , Seunghwan Kim

A marketplace is defined where the private data of suppliers (e.g., prosumers) are protected, so that neither their identity nor their level of stock is made known to end customers, while they can sell their products at a reduced price. A…

Cryptography and Security · Computer Science 2016-03-02 Maurizio Naldi , Giuseppe D'Acquisto

Automated market makers are a popular mechanism used on decentralized exchange, through which users trade assets with each other directly and automatically through a liquidity pool and a fixed pricing function. The liquidity provider…

Mathematical Finance · Quantitative Finance 2024-11-27 Xue Dong He , Chen Yang , Yutian Zhou
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