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As a schematic model of the complexity economic agents are confronted with, we introduce the ``SK-game'', a discrete time binary choice model inspired from mean-field spin-glasses. We show that even in a completely static environment,…

Statistical Mechanics · Physics 2024-08-27 Jerome Garnier-Brun , Michael Benzaquen , Jean-Philippe Bouchaud

Many real-life contractual relations differ completely from the clean, static model at the heart of principal-agent theory. Typically, they involve repeated strategic interactions of the principal and agent, taking place under uncertainty…

In robust optimization one seeks to make a decision under uncertainty, where the goal is to find the solution with the best worst-case performance. The set of possible realizations of the uncertain data is described by a so-called…

Optimization and Control · Mathematics 2022-01-25 Immanuel Bomze , Markus Gabl

We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we…

Optimization and Control · Mathematics 2018-06-06 Kerem Ugurlu

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

Principled accountability for autonomous decision-making in uncertain environments requires distinguishing intentional outcomes from negligent designs from actual accidents. We propose analyzing the behavior of autonomous agents through a…

A negotiation team is a set of agents with common and possibly also conflicting preferences that forms one of the parties of a negotiation. A negotiation team is involved in two decision making processes simultaneously, a negotiation with…

Multiagent Systems · Computer Science 2016-04-19 Victor Sanchez-Anguix , Reyhan Aydogan , Vicente Julian , Catholijn Jonker

Correlated equilibria enable a coordinator to influence the self-interested agents by recommending actions that no player has an incentive to deviate from. However, the effectiveness of this mechanism relies on accurate knowledge of the…

Computer Science and Game Theory · Computer Science 2026-05-18 Jaehan Im , Ufuk Topcu , David Fridovich-Keil

To determine an optimal plan for complex tasks, one often deals with dynamic and hierarchical relationships between several entities. Traditionally, such problems are tackled with optimal control, which relies on the optimization of cost…

Robotics · Computer Science 2025-05-12 Matteo Priorelli , Ivilin Peev Stoianov

We evaluate the robustness of agents' traffic equilibria in randomized routing games characterized by an uncertain network demand with a possibly unknown probability distribution. Specifically, we extend the so-called hose model by…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Filippo Fabiani

Methods for learning and planning in sequential decision problems often assume the learner is aware of all possible states and actions in advance. This assumption is sometimes untenable. In this paper, we give a method to learn factored…

Artificial Intelligence · Computer Science 2019-02-28 Craig Innes , Alex Lascarides

We study a two-period moral hazard problem; there are two agents, with action sets that are unknown to the principal. The principal contracts with each agent sequentially, and seeks to maximize the worst-case discounted sum of payoffs,…

Theoretical Economics · Economics 2024-02-15 Chang Liu

We investigate the probabilistic feasibility of randomized solutions to two distinct classes of uncertain multi-agent optimization programs. We first assume that only the constraints of the program are affected by uncertainty, while the…

Optimization and Control · Mathematics 2020-09-29 George Pantazis , Filiberto Fele , Kostas Margellos

This paper reconsiders the problem of the absent-minded driver who must choose between alternatives with different payoff with imperfect recall and varying degrees of knowledge of the system. The classical absent-minded driver problem…

Artificial Intelligence · Computer Science 2017-02-21 Subhash Kak

Strategic uncertainty complicates policy design in coordination games. To rein in strategic uncertainty, the Planner in this paper connects the problem of policy design to that of equilibrium selection. We characterize the subsidy scheme…

Theoretical Economics · Economics 2023-09-01 Roweno J. R. K. Heijmans

Distributed control increases system scalability, flexibility, and redundancy. Foundational to such decentralisation is consensus formation, by which decision-making and coordination are achieved. However, decentralised multi-agent systems…

Multiagent Systems · Computer Science 2024-03-11 Agathe Bouis , Christopher Lowe , Ruaridh A. Clark , Malcolm Macdonald

Content moderation is often performed by a collaboration between humans and machine learning models. However, it is not well understood how to design the collaborative process so as to maximize the combined moderator-model system…

Machine Learning · Computer Science 2021-07-12 Ian D. Kivlichan , Zi Lin , Jeremiah Liu , Lucy Vasserman

This paper proposes a model of decision-making under uncertainty in which an agent is constrained in her cognitive ability to consider complex acts. We identify the complexity of an act according to the corresponding partition of state…

Theoretical Economics · Economics 2024-06-27 Yuan Gu , Chao Hung Chan

Data-driven models (DDM) based on machine learning and other AI techniques play an important role in the perception of increasingly autonomous systems. Due to the merely implicit definition of their behavior mainly based on the data used…

Software Engineering · Computer Science 2022-06-15 Janek Groß , Rasmus Adler , Michael Kläs , Jan Reich , Lisa Jöckel , Roman Gansch

In this paper, we propose a novel approach for data-driven decision-making under uncertainty in the presence of contextual information. Given a finite collection of observations of the uncertain parameters and potential explanatory…

Optimization and Control · Mathematics 2021-09-20 Miguel Angel Muñoz , Salvador Pineda , Juan Miguel Morales
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