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.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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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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