6. Consider two ice cream sellers competing at a beach that is 1000 metres long. Ice cream prices are fixed by the ice cream company, but companies can choose their locations simultaneously. Customers are located uniformly (spread out evenly on the beach) and do not like walking. The cost of walking every metre is the same (i.e. linear cost). Where will the ice cream stands be located in the Nash equilibrium if the locations are chosen simultaneously? а. b. What are the socially optimal locations, i.e. the best from society's point of view that minimise transportation cost? Are the locations in the Nash equilibrium different from the socially optimal locations? Explain. Suppose there are three ice cream sellers that locate simultaneously. Find the Nash equilibrium is there is one. Else, explain why there is none. (Focus on pure strategy Nash equilibria) С.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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6. Consider two ice cream sellers competing at a beach that is 1000 metres long. Ice
cream prices are fixed by the ice cream company, but companies can choose their
locations simultaneously. Customers are located uniformly (spread out evenly on the
beach) and do not like walking. The cost of walking every metre is the same (i.e. linear
cost).
Where will the ice cream stands be located in the Nash equilibrium if the locations
are chosen simultaneously?
а.
b.
What are the socially optimal locations, i.e. the best from society's point of view that
minimise transportation cost? Are the locations in the Nash equilibrium different
from the socially optimal locations? Explain.
Suppose there are three ice cream sellers that locate simultaneously. Find the Nash
equilibrium is there is one. Else, explain why there is none. (Focus on pure strategy
Nash equilibria)
С.
Transcribed Image Text:6. Consider two ice cream sellers competing at a beach that is 1000 metres long. Ice cream prices are fixed by the ice cream company, but companies can choose their locations simultaneously. Customers are located uniformly (spread out evenly on the beach) and do not like walking. The cost of walking every metre is the same (i.e. linear cost). Where will the ice cream stands be located in the Nash equilibrium if the locations are chosen simultaneously? а. b. What are the socially optimal locations, i.e. the best from society's point of view that minimise transportation cost? Are the locations in the Nash equilibrium different from the socially optimal locations? Explain. Suppose there are three ice cream sellers that locate simultaneously. Find the Nash equilibrium is there is one. Else, explain why there is none. (Focus on pure strategy Nash equilibria) С.
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