aps1x313_s06 - Econ 313.2 - Wissink Spring 2006 PS#1 XtraQ...

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1. Based on Coach Steroid’s rule and the facts that Wilbur Westinghouse weights 340 pounds, runs very slowly, and is fairly obedient; Harold Hotpoint weighs 240 pounds, runs very fast, and is very disobedient and Jerry Jacuzzi weighs 150 pounds, runs at average speed, and is extremely obedient. a) Coach Steroid’s “at least as good as” operator is not transitive. Note: WW is “at least as good as” HH and HH is “at least as good as” JJ. So by transitivity this SHOULD imply that WW is “at least as good as” JJ, but in fact, JJ is “strictly preferred” to WW, so we have a violation of transitivity. b) Coach Steroid’s new preferences are not complete with respect to the “at least as good as” operator over these three guys. c) Coach Steroid’s new preferences are transitive with respect to the “at least as good as” operator over these three guys, since you can not prove that transitivity will be violated. i)
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