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A monopolist wishes to maximize her profits by finding an optimal price policy. After she announces a menu of products and prices, each agent $x$ will choose to buy that product $y(x)$ which maximizes his own utility, if positive. The…

Optimization and Control · Mathematics 2021-02-12 Robert J. McCann , Kelvin Shuangjian Zhang

We study the principal-agent problem. We show that $b$-convexity of the space of products, a condition which appears in a recent paper by Figalli, Kim and McCann \cite{fkm}, is necessary to formulate the problem as a maximization over a…

Optimization and Control · Mathematics 2011-08-19 Brendan Pass

We study a principal-agent team production model. The principal hires a team of agents to participate in a common production task. The exact effort of each agent is unobservable and unverifiable, but the total production outcome (e.g. the…

Computer Science and Game Theory · Computer Science 2025-05-27 Shiliang Zuo

A monopolist sells goods with possibly a characteristic consumers dislike (for instance, he sells random goods to risk averse agents), which does not affect the production costs. We investigate the question whether using undesirable goods…

Optimization and Control · Mathematics 2010-06-03 Aimé Lachapelle , Filippo Santambrogio

A screening instrument is costly if it is socially wasteful and productive otherwise. A principal screens an agent with multidimensional private information and quasilinear preferences that are additively separable across two components: a…

Theoretical Economics · Economics 2025-10-02 Frank Yang

For multidimensional Euclidean type spaces, we study convex choice: from any choice set, the set of types that make the same choice is convex. We establish that, in a suitable sense, this property characterizes the sufficiency of local…

Theoretical Economics · Economics 2024-06-28 Navin Kartik , Andreas Kleiner

We study the existence of equilibrium when agents' preferences may not beconvex. For some specific utility functions, we provide a necessary and sufficientcondition under which there exists an equilibrium. The standard approach cannot be…

Computational Finance · Quantitative Finance 2025-03-24 Cuong Le Van , Ngoc-Sang Pham

We consider a principal who wishes to screen an agent with \emph{discrete} types by offering a menu of \emph{discrete} quantities and \emph{discrete} transfers. We assume that the principal's valuation is discrete strictly concave and use a…

Theoretical Economics · Economics 2025-10-27 Alejandro Francetich , Burkhard C. Schipper

We study a principal-agent problem with adverse selection, where the principal does not know the agent's true cost but must design a contract to optimize a specific criterion. Unlike standard screening frameworks that allow for…

Theoretical Economics · Economics 2026-05-19 Guillermo Alonso Alvarez , Ibrahim Ekren , Liwei Huang

We consider the problem of Adverse Selection and optimal derivative design within a Principal-Agent framework. The principal's income is exposed to non-hedgeable risk factors arising, for instance, from weather or climate phenomena. She…

Computational Engineering, Finance, and Science · Computer Science 2007-10-31 U. Horst , S. Moreno

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,…

Optimization and Control · Mathematics 2025-10-30 Omar Abdul Halim , Brendan Pass

We analyze a principal-agent procurement problem in which the principal (she) is unaware some of the marginal cost types of the agent (he). Communication arises naturally as some types of the agent may have an incentive to raise the…

Theoretical Economics · Economics 2025-10-27 Alejandro Francetich , Burkhard C. Schipper

We study a model of delegation in which a principal takes a multidimensional action and an agent has private information about a multidimensional state of the world. The principal can design any direct mechanism, including stochastic ones.…

Theoretical Economics · Economics 2022-08-26 Andreas Kleiner

We study principal-agent problems in which a principal commits to an outcome-dependent payment scheme (a.k.a. contract) so as to induce an agent to take a costly, unobservable action. We relax the assumption that the principal perfectly…

Computer Science and Game Theory · Computer Science 2021-06-02 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In the classical principal-agent problem, a principal must design a contract to incentivize an agent to perform an action on behalf of the principal. We study the classical principal-agent problem in a setting where the agent can be of one…

Computer Science and Game Theory · Computer Science 2020-10-15 Guru Guruganesh , Jon Schneider , Joshua Wang

Recently, Frazier et al. proposed a natural model for crowdsourced exploration of different a priori unknown options: a principal is interested in the long-term welfare of a population of agents who arrive one by one in a multi-armed bandit…

Computer Science and Game Theory · Computer Science 2015-12-29 Li Han , David Kempe , Ruixin Qiang

We study a screening problem in which an agent privately observes a set of feasible technologies and can strategically disclose only a subset to the principal. The principal then takes an action whose payoff consequences for both players…

Theoretical Economics · Economics 2026-01-23 Tan Gan , Yingkai Li

A multi-product monopolist faces a buyer who is privately informed about his valuations for the goods. As is well-known, optimal mechanisms are in general complicated, while simple mechanisms -- such as pure bundling or separate sales --…

Theoretical Economics · Economics 2025-09-03 Mira Frick , Ryota Iijima , Yuhta Ishii

A principal screens an agent with an arbitrary set of allocations $X$. The agent's preferences over allocations are comonotonic. A subset of allocations $X^*\subseteq X$ is a surplus-elasticity frontier if (i) any other allocation has a…

Theoretical Economics · Economics 2026-02-24 Frank Yang

We consider a multi-dimensional screening problem of selling a product with multiple quality levels and design virtual value functions to derive conditions that imply optimality of only selling highest quality. A challenge of designing…

Computer Science and Game Theory · Computer Science 2015-08-25 Nima Haghpanah , Jason Hartline
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