MET Seminar - Ani Guerdjikova
| Dates: | 16 October 2024 |
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| Times: | 17:00 - 18:00 |
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| What is it: | Seminar |
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| Organiser: | School of Social Sciences |
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| Who is it for: | University staff, Current University students |
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Title: Do You Know What I mean? A Syntactic Representation for Differential Bounded Awareness (joint with JohnQuiggin)
Abstract: This paper provides methodological foundations for the study of learning and interactions in the presence of bounded awareness by exploiting the interplay between semantic (state space) and syntactic (propositional) representations of awareness. Differential awareness both in terms of coarsening and restriction of an underlying objective state space gives rise to distinct languages. Information signals, considered in semantic terms as observations on a partition of the state space, can be expressed in terms of propositions in the language of the sender and have to be translated into the language of the receiver. We define a translation operator between two languages which preserves the meaning of propositions in a restricted sense (subject to the expressive power of the languages). Since languages represent different states of awareness, the translation operator in general fails to preserve logical operations. We study the properties and provide a characterization of the translation operator defined with respect to an objective common state space. This approach allows us to compare languages with respect to their expressiveness and thus, w.r.t. to their degree of awareness of the underlying objective state space.
Speaker website: https://sites.google.com/site/aniguerdjikova/home
Contact: david.delacretaz@manchester.ac.uk
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Boardroom 2.016
Arthur Lewis Building
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