Bitte verwenden Sie diesen Link, um diese Publikation zu zitieren, oder auf sie als Internetquelle zu verweisen: https://hdl.handle.net/10419/103929 
Erscheinungsjahr: 
2014
Schriftenreihe/Nr.: 
Center for Mathematical Economics Working Papers No. 514
Verlag: 
Bielefeld University, Center for Mathematical Economics (IMW), Bielefeld
Zusammenfassung: 
This paper builds on a recent proposal for microeconomic foundations for "representative agents". Herzberg [Journal of Mathematical Economics, vol. 46, no. 6, 1115-1124 (2010)] constructed a representative utility function for infinite-dimensional social decision problems and since the decision problems of macroeconomic theory are typically infinite-dimensional, Herzberg's original result is insufficient for many applications. We therefore generalise his result by allowing the social alternatives to belong to a general reflexive Banach space and provide sufficient conditions for our new results to be satisfied in economic applications.
Schlagwörter: 
microfoundation
representative agent
social choice
reflexive Banach space
convex optimisation
ultrafilter
bounded ultrapower
nonstandard analysis
JEL: 
D71
Persistent Identifier der Erstveröffentlichung: 
Dokumentart: 
Working Paper

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