players choose different integers, the player with the largest integer gets $100, and the two other players get $0. If two players choose the same integer Q, and the third player chooses a different integer Q', then the player playing Q' gets $0, and the two players who played Q get $50 each. Find 2 Nash equilibriums in this game.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Three players (player 1, player 2 and player 3)
each chooses a positive integer QE {1, 2, 3, .
100}. If all three players choose the same
integer Q, each player gets $100/3. If all three
players choose different integers, the player
with the largest integer gets $100, and the
two other players get $0. If two players
choose the same integer Q, and the third
player chooses a different integer Q', then the
player playing Q' gets $0, and the two players
who played Q get $50 each. Find 2 Nash
equilibriums in this game.
....
Transcribed Image Text:Three players (player 1, player 2 and player 3) each chooses a positive integer QE {1, 2, 3, . 100}. If all three players choose the same integer Q, each player gets $100/3. If all three players choose different integers, the player with the largest integer gets $100, and the two other players get $0. If two players choose the same integer Q, and the third player chooses a different integer Q', then the player playing Q' gets $0, and the two players who played Q get $50 each. Find 2 Nash equilibriums in this game. ....
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