Lin, Po-Hsuan and Palfrey, Thomas R. (2022) Cognitive Hierarchies in Extensive Form Games. Social Science Working Paper, 1460. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220207-233838741
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Abstract
The cognitive hierarchy (CH) approach posits that players in a game are heterogeneous with respect to levels of strategic sophistication. A level-k player believes all other players in the game have lower levels of sophistication distributed from 0 to k-1, and these beliefs correspond to the truncated distribution of a "true" distribution of levels. We extend the CH framework to extensive form games, where these initial beliefs over lower levels are updated as the history of play in the game unfolds, providing information to players about other players' levels of sophistication. For a class of centipede games with a linearly increasing pie, we fully characterize the dynamic CH solution and show that it leads to the game terminating earlier than in the static CH solution for the centipede game in reduced normal form.
Item Type: | Report or Paper (Working Paper) | ||||||
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ORCID: |
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Additional Information: | We thank Colin F. Camerer, Jean-Laurent Rosenthal, Joseph Tao-yi Wang and audiences at the 2021 ESA North American Conference and the 2022 SAET Conference for their valuable comments. | ||||||
Group: | Social Science Working Papers | ||||||
Subject Keywords: | Cognitive Hierarchy, Extensive Form Games, Learning, Centipede Game | ||||||
Series Name: | Social Science Working Paper | ||||||
Issue or Number: | 1460 | ||||||
Classification Code: | JEL Classification Numbers: C72 | ||||||
Record Number: | CaltechAUTHORS:20220207-233838741 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220207-233838741 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 113326 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Mary Martin | ||||||
Deposited On: | 08 Feb 2022 17:33 | ||||||
Last Modified: | 15 Aug 2022 16:26 |
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