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We consider the optimal investment and marginal utility pricing problem of a risk averse agent and quantify their exposure to a small amount of model uncertainty. Specifically, we compute explicitly the first-order sensitivity of their…

Mathematical Finance · Quantitative Finance 2021-11-15 Jan Obloj , Johannes Wiesel

A principal hires an agent to acquire soft information about an unknown state. Even though neither how the agent learns nor what the agent discovers are contractible, we show the principal is unconstrained as to what information the agent…

Theoretical Economics · Economics 2023-07-31 Mark Whitmeyer , Kun Zhang

We examine the evolutionary basis for risk aversion with respect to aggregate risk. We study populations in which agents face choices between alternatives with different levels of aggregate risk. We show that the choices that maximize the…

Theoretical Economics · Economics 2023-02-06 Yuval Heller , Ilan Nehama

We study Pareto-optimal risk sharing in economies with heterogeneous attitudes toward risk, where agents' preferences are modeled by distortion risk measures. Building on comonotonic and counter-monotonic improvement results, we show that…

Theoretical Economics · Economics 2025-10-22 Mario Ghossoub , Qinghua Ren , Ruodu Wang

Principal-agent problems model scenarios where a principal incentivizes an agent to take costly, unobservable actions through the provision of payments. Such problems are ubiquitous in several real-world applications, ranging from…

Computer Science and Game Theory · Computer Science 2025-02-27 Francesco Bacchiocchi , Jiarui Gan , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study a variant of the principal-agent problem in which the principal does not directly observe the agent's effort outcome; rather, she gets a signal about the agent's action according to a variable information structure designed by a…

Computer Science and Game Theory · Computer Science 2024-09-06 Yakov Babichenko , Inbal Talgam-Cohen , Haifeng Xu , Konstantin Zabarnyi

In dynamic mechanism design literature, one critical aspect has been typically ignored-the agents' periodic participation, which they can adapt and plan strategically. We propose a framework for dynamic principal-multiagent problems,…

Computer Science and Game Theory · Computer Science 2023-06-16 Tao Zhang , Quanyan Zhu

We study a continuous time contracting model in which a principal hires a risk averse agent to manage a project over a finite horizon and provides sequential payments whose timing is endogenously determined. The resulting nonzero-sum…

Theoretical Economics · Economics 2025-12-01 Guillermo Alonso Alvarez , Ibrahim Ekren , Liwei Huang

A principal uses payments conditioned on stochastic outcomes of a team project to elicit costly effort from the team members. We develop a multi-agent generalization of a classic first-order approach to contract optimization by leveraging…

Theoretical Economics · Economics 2026-03-13 Krishna Dasaratha , Benjamin Golub , Anant Shah

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,…

Risk Management · Quantitative Finance 2026-01-06 Ka Chun Cheung , Sheung Chi Phillip Yam , Fei Lung Yuen , Yiying Zhang

We study hidden-action principal-agent problems in which a principal commits to an outcome-dependent payment scheme (called contract) so as to incentivize the agent to take a costly, unobservable action leading to favorable outcomes. In…

Computer Science and Game Theory · Computer Science 2022-08-18 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study hidden-action principal-agent problems with multiple agents. These are problems in which a principal commits to an outcome-dependent payment scheme in order to incentivize some agents to take costly, unobservable actions that lead…

Computer Science and Game Theory · Computer Science 2023-02-01 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

An agent choosing between various actions tends to take the one with the lowest cost. But this choice is arguably too rigid (not adaptive) to be useful in complex situations, e.g., where exploration-exploitation trade-off is relevant in…

Data Analysis, Statistics and Probability · Physics 2018-12-04 Armen E. Allahverdyan , Aram Galstyan , Ali E. Abbas , Zbigniew R. Struzik

We show in a simulation when economic agents are subject to evolution (random change and selection based on the success in the estimation of the result of the gamble) they acquire risk aversive behavior. This behavior appears in the form of…

Physics and Society · Physics 2024-02-07 Ihor Kendiukhov

We prove an existence result for the principal-agent problem with adverse selection under general assumptions on preferences and allocation spaces. Instead of assuming that the allocation space is finite-dimensional or compact, we consider…

Optimization and Control · Mathematics 2020-03-11 Guillaume Carlier , Kelvin Shuangjian Zhang

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

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

We develop a model to study the role of rationality in economics and biology. The model's agents differ continuously in their ability to make rational choices. The agents' objective is to ensure their individual survival over time or,…

Physics and Society · Physics 2015-07-20 Wolfgang Kuhle

A principal wishes to transact business with a multidimensional distribution of agents whose preferences are known only in the aggregate. Assuming a twist (= generalized Spence-Mirrlees single-crossing) hypothesis and that agents can choose…

Optimization and Control · Mathematics 2009-12-17 Alessio Figalli , Young-Heon Kim , Robert J. McCann

We introduce a class of robust control problems formulated in min-max form, in which the principal agent is viewed as a central planner facing Nature. The agent's cost is a nonlinear function of all its possible realizations, encompassing…

Optimization and Control · Mathematics 2026-04-24 François Delarue , Pierre Lavigne