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Interactive Communication in Bilateral Trade

Authors Jieming Mao, Renato Paes Leme, Kangning Wang

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Author Details

Jieming Mao
  • Google Research, New York, NY, USA
Renato Paes Leme
  • Google Research, New York, NY, USA
Kangning Wang
  • Duke University, Durham, NC, USA

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Jieming Mao, Renato Paes Leme, and Kangning Wang. Interactive Communication in Bilateral Trade. In 13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 215, pp. 105:1-105:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.ITCS.2022.105

Abstract

We define a model of interactive communication where two agents with private types can exchange information before a game is played. The model contains Bayesian persuasion as a special case of a one-round communication protocol. We define message complexity corresponding to the minimum number of interactive rounds necessary to achieve the best possible outcome. Our main result is that for bilateral trade, agents don't stop talking until they reach an efficient outcome: Either agents achieve an efficient allocation in finitely many rounds of communication; or the optimal communication protocol has infinite number of rounds. We show an important class of bilateral trade settings where efficient allocation is achievable with a small number of rounds of communication.

Subject Classification

ACM Subject Classification
  • Theory of computation → Algorithmic game theory
  • Theory of computation → Solution concepts in game theory
  • Theory of computation → Exact and approximate computation of equilibria
Keywords
  • Bayesian persuasion
  • bilateral trade
  • information design

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