English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Paper

A homeomorphism theorem for the universal type space with the uniform topology

MPS-Authors
/persons/resource/persons183129

Hellwig,  Martin
Max Planck Institute for Research on Collective Goods, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2016_17online.pdf
(Any fulltext), 409KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Hellwig, M. (2016). A homeomorphism theorem for the universal type space with the uniform topology.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-BC8A-A
Abstract
The paper shows that the Mertens-Zamir (1985) reconciliation of belief hierarchy and type space models of incomplete information is robust to the requirement that the topology on belief hierarchies reflect the continuity properties of strategic behaviour, taking account of the fact that beliefs of arbitrarily high orders in agents.belief hierarchies can have a signi.cant impact on strategic behaviour. When endowed with one of the .ner topologies proposed by Fudenberg et al. (2006) and Chen et al. (2010, 2017), the space of belief hierarchies is still homeomorphic to the space of probability measures (beliefs) over exogenous data and other agents.belief hierarchies. The canonical mapping from nonredundant abstract type spaces with continuous belief functions to the space of belief hierarchies is an embedding if the range of belief functions has the topology of convergence in total variation.