Abstract
Heifetz, Meier and Schipper [Heifetz, A., Meier, M., Schipper, B.C., 2006a. Interactive unawareness, J. Econ. Theory 130, 78-94; Heifetz, A., Meier, M., Schipper, B.C., 2006b. Unawareness, beliefs and games. Mimeo] introduced unawareness structures. These are generalized state-space models that allow for non-trivial unawareness among several individuals and strong properties of knowledge. We show that a canonical unawareness structure arises naturally if states consist of maximally consistent sets of formulas in an appropriate axiom system. As a corollary, we obtain a strong soundness and completeness theorem for this axiom system with respect to the class of unawareness structures.
| Original language | English |
|---|---|
| Pages (from-to) | 304-324 |
| Number of pages | 21 |
| Journal | Games and Economic Behavior |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2008 |
Bibliographical note
Funding Information:Keywords: Unawareness; Awareness; Knowledge; Interactive epistemology; Modal logic; Lack of conception; Bounded perception * Corresponding author. E-mail addresses: [email protected] (A. Heifetz), [email protected] (M. Meier), [email protected] (B.C. Schipper). 1 Martin acknowledges financial support from the European Union via a Marie-Curie Individual Fellowship (HPMF-2002-02073), the Spanish Ministerio de Educación y Ciencia via a Ramon y Cajal Fellowship, Research Grant SEJ2004-07861 as well as Barcelona Economics (XREA) and the Fundación Ramón Areces. 2 Burkhard received financial support from the NSF SES-0647811, the DFG SFB/TR 15 and the Minerva Stiftung.
Keywords
- Awareness
- Bounded perception
- Interactive epistemology
- Knowledge
- Lack of conception
- Modal logic
- Unawareness