Two hotels are considering a location along a newly constructed highway through the esert. The highway is 500 miles long with an exit every 50 miles (including both ends). he hotels may choose to to locate at any exit. These will be the only hotels for any traveler sing the highway. Each traveler has their own most preferred location along the highway t some exit) for a hotel, and will choose to go the hotel closest to that location. Travelers ost preferred locations are distributed evenly, so that each exit has the same number of avelers who prefer that exit. If both hotels are the same distance from a traveler's most referred location, then that traveler flips a coin to determine which hotel to stay at. A otel would each like to maximize the number of travelers who stay at it.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Two hotels are considering a location along a newly constructed highway through the
desert. The highway is 500 miles long with an exit every 50 miles (including both ends).
The hotels may choose to to locate at any exit. These will be the only hotels for any traveler
using the highway. Each traveler has their own most preferred location along the highway
(at some exit) for a hotel, and will choose to go the hotel closest to that location. Travelers
most preferred locations are distributed evenly, so that each exit has the same number of
travelers who prefer that exit. If both hotels are the same distance from a traveler's most
preferred location, then that traveler flips a coin to determine which hotel to stay at. A
hotel would each like to maximize the number of travelers who stay at it.
If Hotel 1 locates at the 100 mile exit, where should Hotel 2 locate?
Given Hotel 2's location that you just found, where would Hotel 1 prefer to locate?
Which pairs of locations form Nash equilibria?
Transcribed Image Text:Two hotels are considering a location along a newly constructed highway through the desert. The highway is 500 miles long with an exit every 50 miles (including both ends). The hotels may choose to to locate at any exit. These will be the only hotels for any traveler using the highway. Each traveler has their own most preferred location along the highway (at some exit) for a hotel, and will choose to go the hotel closest to that location. Travelers most preferred locations are distributed evenly, so that each exit has the same number of travelers who prefer that exit. If both hotels are the same distance from a traveler's most preferred location, then that traveler flips a coin to determine which hotel to stay at. A hotel would each like to maximize the number of travelers who stay at it. If Hotel 1 locates at the 100 mile exit, where should Hotel 2 locate? Given Hotel 2's location that you just found, where would Hotel 1 prefer to locate? Which pairs of locations form Nash equilibria?
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