Implicit Knowledge in Unawareness Structures

Gaia Belardinelli and Burkhard Schipper

No 360, Working Papers from University of California, Davis, Department of Economics

Abstract: Awareness structures by Fagin and Halpern (1988) (FH) feature a syntactic awareness correspondence and accessibility relations modeling implicit knowledge. They are a flexible model of unawareness, and best interpreted from a outside modeler's perspective. Unawareness structures by Heifetz, Meier, and Schipper (2006, 2008) (HMS) model awareness by a lattice of state spaces and explicit knowledge via possibility correspondences. Sublattices thereof can be interpreted as subjective views of agents. Open questions include (1) how implicit knowledge can be defined in HMS structures, and (2) in which way FH structures can be extended to model the agents' subjective views. In this paper, we address (1) by defining implicit knowledge such that it is consistent with explicit knowledge in HMS models. We also introduce a variant of HMS models that instead of explicit knowledge, takes implicit knowledge and awareness as primitives. Further, we address (2) by introducing a category of FH models that are modally equivalent relative to sublanguages and can be interpreted as agents' subjective views depending on their awareness. These constructions allow us to show an equivalence between HMS and FH models. As a corollary, we obtain soundness and completeness of HMS models with respect to the Logic of Propositional Awareness, based on a language featuring both implicit and explicit knowledge.

Keywords: Unawareness; awareness; implicit knowledge; explicit knowledge (search for similar items in EconPapers)
JEL-codes: C70 D83 (search for similar items in EconPapers)
Pages: 46
Date: 2023-11-06
New Economics Papers: this item is included in nep-knm
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://repec.dss.ucdavis.edu/files/gjhxwpj079y07ahk7mhwagtspw6e/implicit32.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cda:wpaper:360

Access Statistics for this paper

More papers in Working Papers from University of California, Davis, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by Letters and Science IT Services Unit ().