ON THE COMPLETENESS OF THE UNIVERSAL KNOWLEDGE–BELIEF SPACE: A TECHNICAL NOTE

Miklós Pintér ()
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Miklós Pintér: Department of Mathematics, Corvinus University of Budapest and MTA-BCE "Lendület" Strategic Interactions Research Group, Fővám tér 13-15, Budapest, 1093, Hungary

International Game Theory Review (IGTR), 2014, vol. 16, issue 01, 1-6

Abstract: Meier [Games Econ. Behav.62, 53–66] shows that the universal knowledge–belief space exists. However, besides the universality there is an other important property might be imposed on knowledge–belief spaces, inherited also from type spaces, the completeness. In this paper, we introduce the notion of complete knowledge–belief space, and demonstrate that the universal knowledge–belief space is not complete, that is, some subjective beliefs (probability measures) on the universal knowledge–belief space are not knowledge–belief types.

Keywords: Belief; knowledge; uncertainty; complete type space; complete knowledge–belief space; universal type space; universal knowledge–belief space; games with incomplete information; C70; C72; D80; D82; D83 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0219198914400064

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