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

Economics

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

Keywords

Epistemic game theory
Hierarchies of beliefs
Morphisms
Type structures

ASJC Scopus subject areas

Economics and Econometrics

Access to Document

10.1007/s00199-010-0517-2

Cite this

@article{59c3d4ec451a486388bda28fa8335123,

title = "On the relationship between hierarchy and type morphisms",

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.",

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.",

year = "2011",

month = apr,

doi = "10.1007/s00199-010-0517-2",

language = "English (US)",

volume = "46",

pages = "377--399",

journal = "Economic Theory",

issn = "0938-2259",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - On the relationship between hierarchy and type morphisms

AU - Friedenberg, Amanda

AU - Meier, Martin

N1 - 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 Educación y Ciencia via a Ramon y Cajal Fellowship (IAE-CSIC) and Research Grant SEJ 2006-02079.

PY - 2011/4

Y1 - 2011/4

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

UR - http://www.scopus.com/inward/record.url?scp=79952818379&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952818379&partnerID=8YFLogxK

U2 - 10.1007/s00199-010-0517-2

DO - 10.1007/s00199-010-0517-2

M3 - Article

AN - SCOPUS:79952818379

SN - 0938-2259

VL - 46

SP - 377

EP - 399

JO - Economic Theory

JF - Economic Theory

IS - 3

ER -

On the relationship between hierarchy and type morphisms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this