Consider a matching market with three buyers (x, y, z) and three sellers (a, b, c). Among buyers, the valuations for sellers (a, b, c) are (1, 3, 10) for x, (1, 4, 6) for y, and (5, 6, 7) for z. 1.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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Consider a matching market with three buyers
(x, y, z) and three sellers (a, b, c). Among buyers,
the valuations for sellers (a, b, c) are (1, 3, 10) for
X, (1, 4, 6) for y, and (5, 6, 7) for z. 1.
1. Show step-by-step matching process, the
corresponding preferred-seller graph at each
step, and finally a set of market-clearing prices.
2. Is it possible to have multiple constricted sets
in a step? Will the selection order of constricted
sets matter in the final outcome? Briefly explain
your conclusions.
Transcribed Image Text:Consider a matching market with three buyers (x, y, z) and three sellers (a, b, c). Among buyers, the valuations for sellers (a, b, c) are (1, 3, 10) for X, (1, 4, 6) for y, and (5, 6, 7) for z. 1. 1. Show step-by-step matching process, the corresponding preferred-seller graph at each step, and finally a set of market-clearing prices. 2. Is it possible to have multiple constricted sets in a step? Will the selection order of constricted sets matter in the final outcome? Briefly explain your conclusions.
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