Title
Predictive Theory of Mind Models Based on Public Announcement Logic
Author
Top, Jakob Dirk (Rijksuniversiteit Groningen)
Jonker, C.M. (TU Delft Interactive Intelligence; Universiteit Leiden) 
Verbrugge, Rineke (Rijksuniversiteit Groningen)
de Weerd, Harmen (Rijksuniversiteit Groningen)
Contributor
Gierasimczuk, Nina (editor)
Velázquez-Quesada, Fernando R. (editor)
Date
2024
Abstract
Epistemic logic can be used to reason about statements such as ‘I know that you know that I know that φ ’. In this logic, and its extensions, it is commonly assumed that agents can reason about epistemic statements of arbitrary nesting depth. In contrast, empirical findings on Theory of Mind, the ability to (recursively) reason about mental states of others, show that human recursive reasoning capability has an upper bound. In the present paper we work towards resolving this disparity by proposing some elements of a logic of bounded Theory of Mind, built on Public Announcement Logic. Using this logic, and a statistical method called Random-Effects Bayesian Model Selection, we estimate the distribution of Theory of Mind levels in the participant population of a previous behavioral experiment. Despite not modeling stochastic behavior, we find that approximately three-quarters of participants’ decisions can be described using Theory of Mind. In contrast to previous empirical research, our models estimate the majority of participants to be second-order Theory of Mind users.
Subject
Behavioral Modeling
Cognitive Science
Epistemic Logic
Public Announcement Logic
Random-Effects Bayesian Model Selection
Theory of Mind
To reference this document use:
http://resolver.tudelft.nl/uuid:f7d1ba47-20c5-446f-b21b-fe7651661070
DOI
https://doi.org/10.1007/978-3-031-51777-8_6
Publisher
Springer, Cham
Embargo date
2024-07-13
ISBN
978-3-031-5177-6-1
Source
Dynamic Logic. New Trends and Applications - 5th International Workshop, DaLi 2023, Revised Selected Papers
Event
5th International Workshop on Dynamic Logic - New Trends and Applications, DaLi 2023, 2023-09-15 → 2023-09-16, Tbilisi, Georgia
Series
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 0302-9743, 14401 LNCS
Bibliographical note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.
Part of collection
Institutional Repository
Document type
conference paper
Rights
© 2024 Jakob Dirk Top, C.M. Jonker, Rineke Verbrugge, Harmen de Weerd