Algorithmic Persuasion Through Simulation

Fuente: arXiv
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Autores principales: Harris, Keegan, Immorlica, Nicole, Lucier, Brendan, Slivkins, Aleksandrs
Formato: Preprint
Publicado: 2023
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author Harris, Keegan
Immorlica, Nicole
Lucier, Brendan
Slivkins, Aleksandrs
author_facet Harris, Keegan
Immorlica, Nicole
Lucier, Brendan
Slivkins, Aleksandrs
contents We study a Bayesian persuasion game where a sender wants to persuade a receiver to take a binary action, such as purchasing a product. The sender is informed about the (real-valued) state of the world, such as the quality of the product, but only has limited information about the receiver's beliefs and utilities. Motivated by customer surveys, user studies, and recent advances in AI, we allow the sender to learn more about the receiver by querying an oracle that simulates the receiver's behavior. After a fixed number of queries, the sender commits to a messaging policy and the receiver takes the action that maximizes her expected utility given the message she receives. We characterize the sender's optimal messaging policy given any distribution over receiver types. We then design a polynomial-time querying algorithm that optimizes the sender's expected utility in this game. We also consider approximate oracles, more general query structures, and costly queries.
format Preprint
id arxiv_https___arxiv_org_abs_2311_18138
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Algorithmic Persuasion Through Simulation
Harris, Keegan
Immorlica, Nicole
Lucier, Brendan
Slivkins, Aleksandrs
Computer Science and Game Theory
Artificial Intelligence
Theoretical Economics
We study a Bayesian persuasion game where a sender wants to persuade a receiver to take a binary action, such as purchasing a product. The sender is informed about the (real-valued) state of the world, such as the quality of the product, but only has limited information about the receiver's beliefs and utilities. Motivated by customer surveys, user studies, and recent advances in AI, we allow the sender to learn more about the receiver by querying an oracle that simulates the receiver's behavior. After a fixed number of queries, the sender commits to a messaging policy and the receiver takes the action that maximizes her expected utility given the message she receives. We characterize the sender's optimal messaging policy given any distribution over receiver types. We then design a polynomial-time querying algorithm that optimizes the sender's expected utility in this game. We also consider approximate oracles, more general query structures, and costly queries.
title Algorithmic Persuasion Through Simulation
topic Computer Science and Game Theory
Artificial Intelligence
Theoretical Economics
url https://arxiv.org/abs/2311.18138