Preference Function Modelling: The Mathematical Foundations of Decision Theory

Jonathan Barzilai ()
Additional contact information
Jonathan Barzilai: Dalhousie University

Chapter Chapter 3 in Trends in Multiple Criteria Decision Analysis, 2010, pp 57-86 from Springer

Abstract: Abstract We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of decision theory and related theories depend on these conditions which have not been correctly identified in the classical literature. Operations Research and Decision Analysis Societies should act to correct fundamental errors in the mathematical foundations of measurement theory, utility theory, game theory, mathematical economics, decision theory, mathematical psychology, and related disciplines.

Keywords: Foundations of science; Measurement theory; Decision theory; Social choice; Group decision making; Utility theory; Game theory; Economic theory; Mathematical psychology (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-1-4419-5904-1_3

Ordering information: This item can be ordered from
http://www.springer.com/9781441959041

DOI: 10.1007/978-1-4419-5904-1_3

Access Statistics for this chapter

More chapters in International Series in Operations Research & Management Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().