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The call auction is a widely used trading mechanism, especially during the opening and closing periods of financial markets. In this paper, we study a standard call auction problem where orders are submitted according to Poisson processes,…

交易与市场微观结构 · 定量金融 2019-07-15 Ioane Muni Toke

Many discrete-time optimal stopping problems are known to have more tractable limit forms based on a planar Poisson process. Using this tool we find a solution to the optimal stopping problem for i.i.d. sequence of $n$ discrete uniform…

概率论 · 数学 2026-01-09 Alexander Gnedin

In this work we study the optimal execution problem with multiplicative price impact in algorithm trading, when an agent holds an initial position of shares of a financial asset. The inter-selling-decision times are modelled by the arrival…

数理金融 · 定量金融 2018-05-04 Daniel Hernández-Hernández , Harold A. Moreno-Franco , José Luis Pérez

In a classical optimal stopping problem in continuous time, the agent can choose any stopping time without constraint. Dupuis and Wang (Optimal stopping with random intervention times, Advances in Applied Probability, 34, 141--157, 2002)…

概率论 · 数学 2019-01-23 David Hobson , Matthew Zeng

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

计算机科学与博弈论 · 计算机科学 2018-05-08 Arsenii Vanunts , Alexey Drutsa

In this article we study an optimal stopping/optimal control problem which models the decision facing a risk-averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the…

投资组合管理 · 定量金融 2008-12-10 Vicky Henderson , David Hobson

Sellers in online markets face the challenge of determining the right time to sell in view of uncertain future offers. Classical stopping theory assumes that sellers have full knowledge of the value distributions, and leverage this…

理论经济学 · 经济学 2022-06-30 Pieter Kleer , Johan van Leeuwaarden

The claim arrival process to an insurance company is modeled by a compound Poisson process whose intensity and/or jump size distribution changes at an unobservable time with a known distribution. It is in the insurance company's interest to…

最优化与控制 · 数学 2008-12-10 Erhan Bayraktar , H. Vincent Poor

We study the optimal bailout dividend problem with transaction costs for an insurance company, where shareholder payouts align with the arrival times of an independent Poisson process. In this scenario, the underlying risk model follows a…

最优化与控制 · 数学 2024-03-26 Harold A. Moreno-Franco , Jose-Luis Pérez

Optimal stopping problems give rise to random distributions describing how many applicants the decision-maker will sample or interview before choosing one, a quantity sometimes referred to as the search time or process duration. This…

应用统计 · 统计学 2019-12-13 Simon Demers

We study the problem of designing posted-price mechanisms in order to sell a single unit of a single item within a finite period of time. Motivated by real-world problems, such as, e.g., long-term rental of rooms and apartments, we assume…

计算机科学与博弈论 · 计算机科学 2020-12-11 Giulia Romano , Gianluca Tartaglia , Alberto Marchesi , Nicola Gatti

In this paper, we study a continuous-time discounted jump Markov decision process with both controlled actions and observations. The observation is only available for a discrete set of time instances. At each time of observation, one has to…

最优化与控制 · 数学 2019-07-16 Yunhan Huang , Veeraruna Kavitha , Quanyan Zhu

Trailing stop is a popular stop-loss trading strategy by which the investor will sell the asset once its price experiences a pre-specified percentage drawdown. In this paper, we study the problem of timing buy and then sell an asset subject…

数理金融 · 定量金融 2019-03-26 Tim Leung , Hongzhong Zhang

We study decision timing problems on finite horizon with Poissonian information arrivals. In our model, a decision maker wishes to optimally time her action in order to maximize her expected reward. The reward depends on an unobservable…

最优化与控制 · 数学 2012-05-07 Michael Ludkovski , Semih Sezer

In this research, we develop a trading strategy for the discrete-time optimal liquidation problem of large order trading with different market microstructures in an illiquid market. In this framework, the flow of orders can be viewed as a…

交易与市场微观结构 · 定量金融 2015-12-29 A. Sadoghi , J. Vecer

Simultaneous ascending auctions present agents with the exposure problem: bidding to acquire a bundle risks the possibility of obtaining an undesired subset of the goods. Auction theory provides little guidance for dealing with this…

计算机科学与博弈论 · 计算机科学 2012-07-09 Anna Osepayshvili , Michael P. Wellman , Daniel Reeves , Jeffrey K. MacKie-Mason

We revisit the problem of designing the profit-maximizing single-item auction, solved by Myerson in his seminal paper for the case in which bidder valuations are independently distributed. We focus on general joint distributions, seeking…

计算机科学与博弈论 · 计算机科学 2012-05-15 Christos Papadimitriou , George Pierrakos

We consider an optimal stopping problem with n correlated offers where the goal is to design a (randomized) stopping strategy that maximizes the expected value of the offer in the sequence at which we stop. Instead of assuming to know the…

最优化与控制 · 数学 2025-07-08 Pieter Kleer , Daan Noordenbos

In this article, we investigate a dynamic control problem of a production-inventory system. Here, demands arrive at the production unit according to a Poisson process and are processed in an FCFS manner. The processing time of the…

最优化与控制 · 数学 2024-08-06 Subrata Golui , Chandan Pal , Manikandan R. , Abhay Sobhanan

We study the problem of when to sell an indivisible object. There is a monopolistic seller who owns an indivisible object and plans to sell it over a given span of time to the set of potential buyers whose valuations for the object evolve…

理论经济学 · 经济学 2024-08-05 Kiho Yoon
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