Selling to a principal and a budget-constrained agent

Fuente: arXiv
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Auteurs principaux: Mishra, Debasis, Paramahamsa, Kolagani
Format: Preprint
Publié: 2022
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author Mishra, Debasis
Paramahamsa, Kolagani
author_facet Mishra, Debasis
Paramahamsa, Kolagani
contents We analyze a model of selling a single object to a principal-agent pair who want to acquire the object for a firm. The principal and the agent have different assessments of the object's value to the firm. The agent is budget-constrained while the principal is not. The agent participates in the mechanism, but she can (strategically) delegate decision-making to the principal. We derive the revenue-maximizing mechanism in a two-dimensional type space (values of the agent and the principal). We show that below a threshold budget, a mechanism involving two posted prices and three outcomes (one of which involves randomization) is the optimal mechanism for the seller. Otherwise, a single posted price mechanism is optimal.
format Preprint
id arxiv_https___arxiv_org_abs_2202_10378
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Selling to a principal and a budget-constrained agent
Mishra, Debasis
Paramahamsa, Kolagani
Theoretical Economics
Computer Science and Game Theory
We analyze a model of selling a single object to a principal-agent pair who want to acquire the object for a firm. The principal and the agent have different assessments of the object's value to the firm. The agent is budget-constrained while the principal is not. The agent participates in the mechanism, but she can (strategically) delegate decision-making to the principal. We derive the revenue-maximizing mechanism in a two-dimensional type space (values of the agent and the principal). We show that below a threshold budget, a mechanism involving two posted prices and three outcomes (one of which involves randomization) is the optimal mechanism for the seller. Otherwise, a single posted price mechanism is optimal.
title Selling to a principal and a budget-constrained agent
topic Theoretical Economics
Computer Science and Game Theory
url https://arxiv.org/abs/2202.10378