On the relationship between hierarchy and type morphisms

Amanda Friedenberg; Martin Meier

doi:10.1007/s00199-010-0517-2

On the relationship between hierarchy and type morphisms

Amanda Friedenberg, Martin Meier

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Here, we establish a relationship between hierarchy and type morphisms. Both concepts have been used to relate the types in one structure to types in a second "larger" structure. In general, the two concepts may differ, in the sense that a hierarchy morphism need not be a type morphism. We provide a necessary and sufficient condition under which the two concepts coincide. We go on to provide situations under which this condition must be satisfied.

Original language	English (US)
Pages (from-to)	377-399
Number of pages	23
Journal	Economic Theory
Volume	46
Issue number	3
DOIs	https://doi.org/10.1007/s00199-010-0517-2
State	Published - Apr 2011
Externally published	Yes

Keywords

Epistemic game theory
Hierarchies of beliefs
Morphisms
Type structures

ASJC Scopus subject areas

Economics and Econometrics

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10.1007/s00199-010-0517-2

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keywords = "Epistemic game theory, Hierarchies of beliefs, Morphisms, Type structures",

author = "Amanda Friedenberg and Martin Meier",

note = "Funding Information: We thank Pierpaolo Battigalli, Adam Brandenburger, Ethan Bueno de Mesquita, Aviad Heifetz, Marciano Siniscalchi, and Elias Tsakas for helpful conversations. We also thank a referee for invaluable suggestions. Meier was supported by the Spanish Ministerio de Educaci{\'o}n y Ciencia via a Ramon y Cajal Fellowship (IAE-CSIC) and Research Grant SEJ 2006-02079.",

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AU - Meier, Martin

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PY - 2011/4

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N2 - Here, we establish a relationship between hierarchy and type morphisms. Both concepts have been used to relate the types in one structure to types in a second "larger" structure. In general, the two concepts may differ, in the sense that a hierarchy morphism need not be a type morphism. We provide a necessary and sufficient condition under which the two concepts coincide. We go on to provide situations under which this condition must be satisfied.

AB - Here, we establish a relationship between hierarchy and type morphisms. Both concepts have been used to relate the types in one structure to types in a second "larger" structure. In general, the two concepts may differ, in the sense that a hierarchy morphism need not be a type morphism. We provide a necessary and sufficient condition under which the two concepts coincide. We go on to provide situations under which this condition must be satisfied.

KW - Epistemic game theory

KW - Hierarchies of beliefs

KW - Morphisms

KW - Type structures

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JO - Economic Theory

JF - Economic Theory

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ER -

On the relationship between hierarchy and type morphisms

Abstract

Keywords

ASJC Scopus subject areas

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