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We propose a general approximation method for determining optimal trading strategies in markets with proportional transaction costs, with a polynomial approximation of the residual value function. The method is exemplified by several…

Portfolio Management · Quantitative Finance 2024-07-11 Eberhard Mayerhofer

The field of learning-augmented algorithms has gained significant attention in recent years. These algorithms, using potentially inaccurate predictions, must exhibit three key properties: consistency, robustness, and smoothness. In…

Data Structures and Algorithms · Computer Science 2025-01-23 Ziyad Benomar , Vianney Perchet

This paper is the first attempt to formalize a new field of economics; studding the Intangibles Goods available on the Internet. We are taking advantage of the digital world's specific rules, in particular the zero marginal cost, to propose…

Economics · Quantitative Finance 2014-05-09 Laurent Fournier

Switches are operations which make local changes to the edges of a graph, usually with the aim of preserving the vertex degrees. We study a restricted set of switches, called triangle switches. Each triangle switch creates or deletes at…

Combinatorics · Mathematics 2021-07-28 Colin Cooper , Martin Dyer , Catherine Greenhill

Foreign exchange rates movements exhibit significant cross-correlations even on very short time-scales. The effect of these statistical relationships become evident during extreme market events, such as flash crashes.In this scenario, an…

Trading and Market Microstructure · Quantitative Finance 2020-09-09 Alberto Ciacci , Takumi Sueshige , Hideki Takayasu , Kim Christensen , Misako Takayasu

Hedge fund managers with the first-loss scheme charge a management fee, a performance fee and guarantee to cover a certain amount of investors' potential losses. We study how parties can choose a mutually preferred first-loss scheme in a…

Portfolio Management · Quantitative Finance 2023-10-31 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

"Fundamental theorem of asset pricing" roughly states that absence of arbitrage opportunity in a market is equivalent to the existence of a risk-neutral probability. We give a simple counterexample to this oversimplified statement. Prices…

Pricing of Securities · Quantitative Finance 2013-10-07 Louis Paulot

We consider a two-way trading problem, where investors buy and sell a stock whose price moves within a certain range. Naturally they want to maximize their profit. Investors can perform up to $k$ trades, where each trade must involve the…

Data Structures and Algorithms · Computer Science 2017-06-19 Stanley P. Y. Fung

In this paper, we examine the biases that arise when firms run A/B tests on continuous parameters to estimate global treatment effects on performance metrics of interest; we particularly focus on price experiments to measure the price…

Methodology · Statistics 2026-01-22 Ramesh Johari , Orrie B. Page , Gabriel Y. Weintraub

We consider a social choice setting in which agents and alternatives are represented by points in a metric space, and the cost of an agent for an alternative is the distance between the corresponding points in the space. The goal is to…

Computer Science and Game Theory · Computer Science 2023-05-25 Elliot Anshelevich , Aris Filos-Ratsikas , Christopher Jerrett , Alexandros A. Voudouris

Advertising options have been recently studied as a special type of guaranteed contracts in online advertising, which are an alternative sales mechanism to real-time auctions. An advertising option is a contract which gives its buyer a…

Computer Science and Game Theory · Computer Science 2018-08-29 Bowei Chen , Mohan Kankanhalli

Identical products being sold at different prices in different locations is a common phenomenon. Price differences might occur due to various reasons such as shipping costs, trade restrictions and price discrimination. To model such…

Computer Science and Game Theory · Computer Science 2010-08-02 Sourav Chakraborty , Nikhil Devanur , Chinmay Karande

Regularization is a well-established technique in machine learning (ML) to achieve an optimal bias-variance trade-off which in turn reduces model complexity and enhances explainability. To this end, some hyper-parameters must be tuned,…

Machine Learning · Computer Science 2020-12-03 Nima Safaei , Pooria Assadi

The impact of trades on asset prices is a crucial aspect of market dynamics for academics, regulators and practitioners alike. Recently, universal and highly nonlinear master curves were observed for price impacts aggregated on all…

Trading and Market Microstructure · Quantitative Finance 2018-01-17 Felix Patzelt , Jean-Philippe Bouchaud

The research presented in this work is motivated by some recent papers regarding hedging and valuation of financial securities subject to funding costs, collateralization and counterparty credit risk. Our goal is to provide a sound…

Pricing of Securities · Quantitative Finance 2013-06-24 Tomasz R. Bielecki , Marek Rutkowski

The notion of fractional minimal rank of a partial matrix is introduced, a quantity that lies between the triangular minimal rank and the minimal rank of a partial matrix. The fractional minimal rank of partial matrices whose bipartite…

Functional Analysis · Mathematics 2017-10-23 Ben W. Grossmann , Hugo J. Woerdeman

Off-chain transaction channels represent one of the leading techniques to scale the transaction throughput in cryptocurrencies such as Bitcoin. They allow multiple agents to route payments through one another. So far, the topology and…

Computer Science and Game Theory · Computer Science 2020-07-28 Yotam Sali , Aviv Zohar

We investigate online pricing in two-sided markets where a platform repeatedly posts prices based on binary accept/reject feedback to maximize gains-from-trade (GFT) or profit. We characterize the regret achievable across three mechanism…

Computer Science and Game Theory · Computer Science 2026-02-13 Yiding Feng , Mengfan Ma , Bo Peng , Zongqi Wan

We consider a one-period Kyle (1985) framework where the insider can be subject to a penalty if she trades. We establish existence and uniqueness of equilibrium for virtually any penalty function when noise is uniform. In equilibrium, the…

Trading and Market Microstructure · Quantitative Finance 2018-09-21 Sylvain Carré , Pierre Collin-Dufresne , Franck Gabriel

The network pricing problem (NPP) is a bilevel problem, where the leader optimizes its revenue by deciding on the prices of certain arcs in a graph, while expecting the followers (also known as the commodities) to choose a shortest path…

Optimization and Control · Mathematics 2024-01-31 Quang Minh Bui , Margarida Carvalho , José Neto
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