A Homeomorphism Theorem for the Universal Type Space with the Uniform Topology

Hellwig, Martin

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

このアイテムの新しいバージョンが利用可能です:
https://pure.mpg.de/pubman/item/item_2361864_9

詳細要約

公開

成果報告書

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

http://www.coll.mpg.de/pdf_dat/2016_17online.pdf
(プレプリント)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

公開されているフルテキストはありません

付随資料 (公開)

There is no public supplementary material available

引用

Hellwig, M. (2016). A Homeomorphism Theorem for the Universal Type Space with the Uniform Topology.

引用: https://hdl.handle.net/11858/00-001M-0000-002B-BC8A-A

要旨

The paper proves a homeomorphism theorem for the universal type space with the uniform strategic topology or the uniform weak topology that Dekel et al. (2006) and Chen et al. (2010) introduced in order to take account of the fact that beliefs of arbitrarily high orders in agents' belief hierarchies can have a significant impact on strategic behaviour. Probability measures on the larger σ-algebras associated with these finer topologies are the completions of probability measures on the product σ-algebras, Kolmogorov's extension theorem can still be used to derive probability measures from belief hierarchies. The extended Kolmogorov mapping that is thus obtained is a homeomorphism.