Appendix 3. The Weak Axiom of Revealed Preference and the Slutsky Decomposition

Market Demand ◽  
1994 ◽  
pp. 175-179
2012 ◽  
Vol 08 (03) ◽  
pp. 297-310
Author(s):  
S. R. CHAUDHARI ◽  
S. S. DESAI

In this paper we establish interrelations between fuzzy direct revelation axiom (FDRA), fuzzy transitive-closure coherence axiom (FTCCA), fuzzy consistent-closure coherence axiom (FCCCA) and fuzzy intermediate congruence axiom (FICA). We also establish their relationships with weak fuzzy congruence axiom (WFCA), strong fuzzy congruence axiom (SFCA) and weak axiom of fuzzy revealed preference (WAFRP). Condition for equivalence of fuzzy Arrow axiom (FAA) and weak fuzzy congruence axiom (WFCA) on arbitrary domain is also given.


1989 ◽  
Vol 56 (4) ◽  
pp. 635 ◽  
Author(s):  
B. Grodal ◽  
W. Hildenbrand

Econometrica ◽  
1989 ◽  
Vol 57 (4) ◽  
pp. 979 ◽  
Author(s):  
Werner Hildenbrand

2015 ◽  
Vol 58 ◽  
pp. 82-91 ◽  
Author(s):  
Bart Smeulders ◽  
Laurens Cherchye ◽  
Bram De Rock ◽  
Frits C.R. Spieksma ◽  
Fabrice Talla Nobibon

Econometrica ◽  
1976 ◽  
Vol 44 (5) ◽  
pp. 971 ◽  
Author(s):  
Richard Kihlstrom ◽  
Andreu Mas-Colell ◽  
Hugo Sonnenschein

Author(s):  
Indraneel Dasgupta ◽  
P. K Pattanaik

We extend the revealed preference theory of consumer’s behavior originating in Samuelson’s Weak Axiom of Revealed Preference to simultaneously permit both non-singleton choice sets and random choice. We provide a consistency postulate for demand behavior when such behavior is represented in terms of a stochastic demand correspondence. When the consumer spends his or her entire wealth, our rationality postulate is equivalent to a condition we term “stochastic substitutability.” This equivalence generates as special cases in most of the basic results regarding consumers’ demand behavior in the existing revealed preference literature.


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