Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Let the choice set to be R: all non-negative vectors of length N. Show that completeness is implied
by transitivity, monotonicity and G-continuity.
In other words, what I ask you to do is to take an arbitrary choice set RN, assume that transitivity,
monotonicity and G-continuity hold and then show that completeness must hold.
Please be explicit about each step (e.g., explain which of the three properties you use in each step).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd51bf9e1-9fde-40b5-bbcf-25785dba5689%2F1c1c7e0b-3174-4a34-8f94-5bf4c1b3779e%2Fab4qjja_processed.png&w=3840&q=75)
Transcribed Image Text:Let the choice set to be R: all non-negative vectors of length N. Show that completeness is implied
by transitivity, monotonicity and G-continuity.
In other words, what I ask you to do is to take an arbitrary choice set RN, assume that transitivity,
monotonicity and G-continuity hold and then show that completeness must hold.
Please be explicit about each step (e.g., explain which of the three properties you use in each step).
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