Autore:
Moscati, Ivan Titolo:
Interactive and common knowledge in the state-space modelPeriodico:
Università degli studi di Torino. Dip. Di Economia e Statistica Cognetti de Martiis. CESMEP. Working paper seriesAnno:
2009 - Volume:
3 - Fascicolo:
3 - Pagina iniziale:
1 - Pagina finale:
23This paper deals with the prevailing formal model for knowledge in contemporary
economics, namely the state-space model introduced by Robert Aumann in 1976. In particular, the paper addresses the following question arising in this formalism: in order to state that an event is interactively or commonly known among a group of agents, do we need to assume that each of them knows how the information is imparted to the others? Aumann answered
in the negative, but his arguments apply only to canonical, i.e., completely specified
state spaces, while in most applications the state space is not canonical. This paper addresses the same question along original lines, demonstrating that the answer is negative for both canonical and not-canonical state spaces. Further, it shows that this result ensues from two counterintuitive properties held by knowledge in the state-space model, namely Substitutivity and Monotonicity.
Testo completo:
http://www.cesmep.unito.it/WP/2009/3_WP_Cesmep.pdfEsportazione dati in Refworks (solo per utenti abilitati)
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