Representation of Binary Choice Probabilities. Part I: Scalability

Arbeitspapier

Scalability refers to the existence of a utility scale on alternatives, with respect to which binary choice probabilities are suitably monotone. This is a fundamental concept in psychophysical theory (Falmagne, 1985). We introduce a new notion of scalability which we call strict scalability, and establish axiomatic foundations for this concept. Strict scalability lies between the classical notion of simple scalability, which was axiomatised by Tversky and Russo (1969), and the weaker notion of monotone scalability, which was axiomatised by Fishburn (1973). When the set of alternatives is countable, a binary choice probability is strictly scalable if and only if it satis?es the familiar condition of weak substitutability.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Economics Working Paper Series ; No. 2016/04

Klassifikation und Themen

• Klassifikation: Wirtschaft

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Ryan, Matthew
• Ereignis: Veröffentlichung
• (wer): Auckland University of Technology (AUT), Faculty of Business, Economics and Law
• (wo): Auckland
• (wann): 2016

Weitere Informationen

• Handle: http://hdl.handle.net/10419/242543
• Letzte Aktualisierung: 20.09.2024, 08:22 MESZ