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Persistent link: https://www.econbiz.de/10009782964
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for potential applications of asymmetric unawareness. Applying our unawareness belief structures, we show that the common prior assumption is too weak to rule out...
Persistent link: https://www.econbiz.de/10013116677
Morris (1996, 1997) introduced preference-based definitions of knowledge and belief in standard state-space structures … defining unawareness and knowledge in terms of preferences over acts in unawareness structures and showing their equivalence to … the epistemic notions of unawareness and knowledge, we try to build a bridge between decision theory and epistemic logic …
Persistent link: https://www.econbiz.de/10013093614
We provide a syntactic model of unawareness. By introducing multiple knowledge modalities, one for each sub … knowledge of more aware agents. We show that the model is a complete and sound axiomatization of the set-theoretic model of …
Persistent link: https://www.econbiz.de/10012936579
This paper provides a set-theoretic model of knowledge and unawareness. A new property called Awareness Leads to … Knowledge shows that unawareness of theorems not only constrains an agent's knowledge, but also, can impair his reasoning about … what other agents know. For example, in contrast to Li (2009), Heifetz et al. (2006) and the standard model of knowledge …
Persistent link: https://www.econbiz.de/10012918267
if common knowledge is assumed (as in the settings of Aumann [1976] and Milgrom and Stokey [1982]), unawareness cannot … generate speculation. This is not true, however, in settings where no common knowledge is assumed, such as speculation in …
Persistent link: https://www.econbiz.de/10012928334
We define a generalized state-space model with interactive unawareness and probabilistic beliefs. Such models are desirable for potential applications of asymmetric unawareness. Applying our unawareness belief structures, we show that the common prior assumption is too weak to rule out...
Persistent link: https://www.econbiz.de/10009544213
Morris (1996, 1997) introduced preference-based definitions of knowledge of belief in standard state-space structures … defining unawareness and knowledge in terms of preferences over acts in unawareness structures and showing their equivalence to … the epistemic notions of unawareness and knowledge, we try to build a bridge between decision theory and epistemic logic …
Persistent link: https://www.econbiz.de/10009544215
as knowledge, subject to their own awareness constraints. I characterize the interactive knowledge hierarchies under … knowledge. Aumann's classic characterization of common knowledge does not immediately apply in this environment, even if there … is "common awareness" of the event involved. An alternative characterization of common knowledge is provided …
Persistent link: https://www.econbiz.de/10014216944
allow for non-trivial unawareness among several individuals and strong properties of knowledge. We show that a canonical …
Persistent link: https://www.econbiz.de/10014062201