football coach says that given two players, he always prefers the one who is bigger and faster. Is his preference relation transitive? Is it complete? Prove it. The second coach says that she always prefers the one who is bigger or faster. Is her preference relation transitive? Is it complete? Prove it.

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
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A football coach says that given two players, he always prefers the one who is bigger and faster. Is his preference relation transitive? Is it complete? Prove it. The second coach says that she always prefers the one who is bigger or faster. Is her preference relation transitive? Is it complete? Prove it.
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