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This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions.…

Optimization and Control · Mathematics 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

In this paper we review some old and new results about the enlargement of filtrations problem, as well as their applications to credit risk and insider trading problems. The enlargement of filtrations problem consists in the study of…

Probability · Mathematics 2012-01-30 J. M. Corcuera , A. Vadivia

When utilities are additive, we uncovered in our previous paper (Bogomolnaia et al. "Dividing Goods or Bads under Additive Utilities") many similarities but also surprising differences in the behavior of the familiar Competitive rule (with…

Computer Science and Game Theory · Computer Science 2016-10-13 Anna Bogomolnaia , Herve Moulin , Fedor Sandomirskiy , Elena Yanovskaya

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

Selling a single item to $n$ self-interested buyers is a fundamental problem in economics, where the two objectives typically considered are welfare maximization and revenue maximization. Since the optimal mechanisms are often impractical…

Computer Science and Game Theory · Computer Science 2024-11-06 Billy Jin , Thomas Kesselheim , Will Ma , Sahil Singla

This paper presents a numerical model to solve the problem of cash accumulation strategies for products with an unknown future price, like assets. Stock prices are modeled by a discretized Wiener Process, and by the means of ordinary…

Mathematical Finance · Quantitative Finance 2017-11-07 Renko Siebols

We consider a financial market with a stock exposed to a counterparty risk inducing a drop in the price, and which can still be traded after this default time. We use a default-density modeling approach, and address in this incomplete…

Probability · Mathematics 2009-03-06 Ying Jiao , Huyen Pham

When modeling the demand in revenue management systems, a natural approach is to focus on a canonical interval of time, such as a week, so that we forecast the demand over each week in the selling horizon. Ideally, we would like to use…

Optimization and Control · Mathematics 2024-09-09 Weiyuan Li , Paat Rusmevichientong , Huseyin Topaloglu

Portfolio optimization methods suffer from a catalogue of known problems, mainly due to the facts that pair correlations of asset returns are unstable, and that extremal risk measures such as maximum drawdown are difficult to predict due to…

Portfolio Management · Quantitative Finance 2022-05-20 Jan Rosenzweig

In the last several years, the intimate connection between convex optimization and learning problems, in both statistical and sequential frameworks, has shifted the focus of algorithmic machine learning to examine this interplay. In…

Machine Learning · Computer Science 2014-07-23 Mehrdad Mahdavi

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang

Social Security and other public policies can be viewed as a series of cash in and outflows that depend on parameters such as the age distribution of the population and the retirement age. Given forecasts of these parameters, policies can…

General Finance · Quantitative Finance 2012-01-31 Martin Gremm , Mark B. Wise

We consider the problem of allocating a set $I$ of $m$ indivisible resources (items) to a set $P$ of $n$ customers (players) competing for the resources. Each resource $j \in I$ has a same value $v_j > 0$ for a subset of customers…

Data Structures and Algorithms · Computer Science 2016-10-12 Kamyar Khodamoradi , Ramesh Krishnamurti , Arash Rafiey , Georgios Stamoulis

We hypothesize that portfolio sorts based on the V/P ratio generate excess returns and consist of companies that are undervalued for prolonged periods. Results, for the US market show that high V/P portfolios outperform low V/P portfolios…

Econometrics · Economics 2025-06-03 Ahmad Haboub , Aris Kartsaklas , Vasilis Sarafidis

We consider the fundamental scenario where a single item is to be sold to one of two agents. Both agents draw their valuation for the item from the same probability distribution. However, only one of them submits a bid to the mechanism. The…

Computer Science and Game Theory · Computer Science 2025-08-26 Ioannis Caragiannis , Georgios Kalantzis

The Littlewood-Offord problem is a classical question in probability theory and discrete mathematics, proposed, firstly by Littlewood and Offord in the 1940s. Given a set $A$ of integer, this problem asks for an upper bound on the…

Combinatorics · Mathematics 2023-08-09 Simone Costa

Problem definition: A key challenge in supervised learning is data scarcity, which can cause prediction models to overfit to the training data and perform poorly out of sample. A contemporary approach to combat overfitting is offered by…

Optimization and Control · Mathematics 2025-10-10 Reza Belbasi , Aras Selvi , Wolfram Wiesemann

Motivated by real-world applications such as rental and cloud computing services, we investigate pricing for reusable resources. We consider a system where a single resource with a fixed number of identical copies serves customers with…

Optimization and Control · Mathematics 2025-06-24 Santiago R. Balseiro , Will Ma , Wenxin Zhang

This paper addresses the optimal scheduling of the liquidation of a portfolio using a new angle. Instead of focusing only on the scheduling aspect like Almgren and Chriss, or only on the liquidity-consuming orders like Obizhaeva and Wang,…

Trading and Market Microstructure · Quantitative Finance 2013-04-05 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

Optimization and Control · Mathematics 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner