Consider a choice structure (X, B, C) where X is finite and B includes all two and three element subsets of X. Which of the following are true statements? Condition a and Condition 3 imply the WARP . 1. Condition a and Condition 3 are implied by the WARP. * Condition a implies Condition 3, provided C(B) has exactly one element for every BEB. A preference relation (complete, reflexive and transitive relation) ≥ that rationalizes the agent's choice may not exist even though the Weak Axiom is satisfied.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.11P
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Consider a choice structure (X, B, C) where X is finite and B includes all two and three
element subsets of X. Which of the following are true statements?
Condition a and Condition 3 imply the WARP .
Condition a and Condition 3 are implied by the WARP.
Condition a implies Condition 3, provided C(B) has exactly one element for every
ВЕВ.
A preference relation (complete, reflexive and transitive relation) ≥ that rationalizes
the agent's choice may not exist even though the Weak Axiom is satisfied.
Transcribed Image Text:Consider a choice structure (X, B, C) where X is finite and B includes all two and three element subsets of X. Which of the following are true statements? Condition a and Condition 3 imply the WARP . Condition a and Condition 3 are implied by the WARP. Condition a implies Condition 3, provided C(B) has exactly one element for every ВЕВ. A preference relation (complete, reflexive and transitive relation) ≥ that rationalizes the agent's choice may not exist even though the Weak Axiom is satisfied.
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