Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/148907 
Autor:innen: 
Erscheinungsjahr: 
2016
Schriftenreihe/Nr.: 
Preprints of the Max Planck Institute for Research on Collective Goods No. 2016/17
Verlag: 
Max Planck Institute for Research on Collective Goods, Bonn
Zusammenfassung: 
Kolmogorov's extension theorem provides a natural mapping from the space of coherent hierarchies of an agent's first-order, second- order, etc. beliefs to the space of probability measures over the exogenous parameters and the other agents' belief hierarchies. Mertens and Zamir (1985) showed that, if the spaces of belief hierarchies are endowed with the product topology, then this mapping is a homeomorphism. This paper shows that this mapping is also a homeomorphism if the spaces of belief hierarchies are endowed with the uniform weak topology of Chen et al. (2010) or the universal strategic topology of Dekel et al. (2006), both of which ensure that strategic behaviour exhibits desirable continuity properties.
Schlagwörter: 
incomplete information
universal type space
uniform weak topology
uniform strategic topology
homeomorphism theorem
JEL: 
C70
C72
Dokumentart: 
Working Paper

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