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In this article, we employ a principal-agent model to analyze optimal contract design in a monopolistic reinsurance market under adverse selection with a continuum of insurer types. Instead of using the classical expected utility framework,…

风险管理 · 定量金融 2026-01-06 Ka Chun Cheung , Sheung Chi Phillip Yam , Fei Lung Yuen , Yiying Zhang

We develop a dual-control method for approximating investment strategies in incomplete environments that emerge from the presence of trading constraints. Convex duality enables the approximate technology to generate lower and upper bounds…

数理金融 · 定量金融 2019-10-29 Thijs Kamma , Antoon Pelsser

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

机器学习 · 计算机科学 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

A set of objects is to be divided fairly among agents with different tastes, modeled by additive utility-functions. If we consider the objects as indivisible, many instances of the decision problem: ``Is there a fair division of the objects…

计算机科学与博弈论 · 计算机科学 2025-07-03 Samuel Bismuth , Ivan Bliznets , Erel Segal-Halevi

We study the problem of decision-making in the setting of a scarcity of shared resources when the preferences of agents are unknown a priori and must be learned from data. Taking the two-sided matching market as a running example, we focus…

计算机科学与博弈论 · 计算机科学 2021-11-24 Xiaowu Dai , Michael I. Jordan

A seller is selling a pair of divisible complementary goods to an agent. The agent consumes the goods only in a specific ratio and freely disposes of excess in either goods. The value of the bundle and the ratio are private information of…

理论经济学 · 经济学 2022-07-15 Komal Malik , Kolagani Paramahamsa

There are several aspects of data markets that distinguish them from a typical commodity market: asymmetric information, the non-rivalrous nature of data, and informational externalities. Formally, this gives rise to a new class of games…

计算机科学与博弈论 · 计算机科学 2023-03-29 Samir Wadhwa , Roy Dong

For incomplete preference relations that are represented by multiple priors and/or multiple -- possibly multivariate -- utility functions, we define a certainty equivalent as well as the utility buy and sell prices and indifference price…

最优化与控制 · 数学 2021-04-06 Birgit Rudloff , Firdevs Ulus

Robust and distributionally robust optimization are modeling paradigms for decision-making under uncertainty where the uncertain parameters are only known to reside in an uncertainty set or are governed by any probability distribution from…

最优化与控制 · 数学 2023-07-21 Jianzhe Zhen , Daniel Kuhn , Wolfram Wiesemann

We study the power of price discrimination via an intermediary in bilateral trade, when there is a revenue-maximizing seller selling an item to a buyer with a private value drawn from a prior. Between the seller and the buyer, there is an…

计算机科学与博弈论 · 计算机科学 2023-04-28 Shao-Heng Ko , Kamesh Munagala

Designing revenue optimal auctions for selling an item to $n$ symmetric bidders is a fundamental problem in mechanism design. Myerson (1981) shows that the second price auction with an appropriate reserve price is optimal when bidders'…

计算机科学与博弈论 · 计算机科学 2015-07-30 Hu Fu , Nicole Immolica , Brendan Lucier , Philipp Strack

The question of the minimum menu-size for approximate (i.e., up-to-$\varepsilon$) Bayesian revenue maximization when selling two goods to an additive risk-neutral quasilinear buyer was introduced by Hart and Nisan (2013), who give an upper…

计算机科学与博弈论 · 计算机科学 2018-07-12 Yannai A. Gonczarowski

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

计算机科学与博弈论 · 计算机科学 2020-03-05 Daniel Lehmann

We characterize the extreme points of the set of incentive-compatible mechanisms for screening problems with linear utility. Our framework subsumes problems with and without transfers, such as monopoly pricing, principal-optimal bilateral…

理论经济学 · 经济学 2025-10-24 Patrick Lahr , Axel Niemeyer

This work studies discrete-time discounted Markov decision processes with continuous state and action spaces and addresses the inverse problem of inferring a cost function from observed optimal behavior. We first consider the case in which…

最优化与控制 · 数学 2024-05-27 Angeliki Kamoutsi , Peter Schmitt-Förster , Tobias Sutter , Volkan Cevher , John Lygeros

We consider a deterministic continuous time model of monopolistic firm, which chooses production and pricing strategies of a single good. Firm's goal is to maximize the discounted profit over infinite time horizon. The no-backlogging…

最优化与控制 · 数学 2016-01-19 Dmitry B. Rokhlin , Georgii Mironenko

Constrained competitive optimization involves multiple agents trying to minimize conflicting objectives, subject to constraints. This is a highly expressive modeling language that subsumes most of modern machine learning. In this work we…

最优化与控制 · 数学 2020-06-19 Florian Schäfer , Anima Anandkumar , Houman Owhadi

We study a bilateral trade problem where a principal has private information that is revealed with delay, such as a seller who does not yet know her production cost. Postponing the contracting process incurs a costly delay, while early…

理论经济学 · 经济学 2024-08-05 Francesco Giovannoni , Toomas Hinnosaar

We state the problem of inverse reinforcement learning in terms of preference elicitation, resulting in a principled (Bayesian) statistical formulation. This generalises previous work on Bayesian inverse reinforcement learning and allows us…

机器学习 · 统计学 2011-06-30 Constantin Rothkopf , Christos Dimitrakakis

We study the monopolist's screening problem with a multi-dimensional distribution of consumers and a one-dimensional space of goods. We establish general conditions under which solutions satisfy a structural condition known as nestedness,…

最优化与控制 · 数学 2025-10-30 Omar Abdul Halim , Brendan Pass