Minculescu, Andreea (2024) Cutting Cheryl’s Birthday cake: Modeling theory of mind orders in public announcement logic. Master's Thesis / Essay, Artificial Intelligence.
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Abstract
Theory of Mind (ToM) refers to the ability to reason about the behaviour of others and oneself by attributing internal mental states, such as knowledge, desires and intentions. ToM can be applied recursively - for example, “Amy thinks that Bernard knows that it is raining” is said to be a second-order ToM statement. Past research suggests that there is a limit to the number of times humans can apply ToM recursively - for example, they tend to use up to second-order ToM reasoning in strategic games. In the present study, I propose and conduct a novel human experimental design, in which different orders of ToM reasoning in the “Cheryl’s Birthday” epistemic puzzle can be properly distinguished from other strategies. Results show that higher-order ToM reasoning is associated with more prolonged time to solve the puzzle(s) and a higher rate of mistakes. Additionally, based on observations revealed by the aforementioned experiment, I propose a novel way to model how humans may reason about too complex high-order ToM statements, whereby parts of the complex ToM statement are sequentially removed until the transformed statement can be processed. I compare the predictions made by models using this strategy against the answers of the human participants and show that these models are a better fit than two baseline models: one model of perfect rationality and one model that randomly selects answers from a list of options.
| Item Type: | Thesis (Master's Thesis / Essay) |
|---|---|
| Supervisor name: | Verbrugge, L.C. and Weerd, H.A. de and Top, J.D. |
| Degree programme: | Artificial Intelligence |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 12 Jul 2024 08:52 |
| Last Modified: | 12 Jul 2024 08:52 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/33277 |
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