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Three friends are choosing a restaurant for dinner. Here are their preferences:
a. If the three friends use a Borda count to make their decision, where do they go to eat?b. On their way to their chosen restaurant, they see that the Mexican and French restaurants are closed, so they use a Borda count again to decide between the remaining two restaurants. Where do they decide to go now?c. How do your answers to parts (a) and (b) relate to Arrow's impossibility theorem?
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Chapter 22
Frontiers of Microeconomics
How Markets Work
Topics for Further Study
Introduction
02:33
Three friends are choosing…
01:53
2.A restaurant menu has fi…
01:13
You invite five friends fo…
03:37
but the gas a different Chapter 22 problem. Six. We're given this table that is Rachel Ross and Joey's preferences on where they like dinner tonight on the first part's asking us to use a board account to determine where they're going to eat. So the board account is just a voting method where the first place vote is worth more. Then the second place, though, which is worth more in the third place about no eccentric cetera, cetera assume using that. We see the Italian cast to first place about serious four plus four and 1/3 for Starla forthis know, which, along with one that equals nine Chinese, has to second place those that each worth three and won. First place villages were four. That's 10. Next Kin has to Third place isn't in one second place vote and fast for seven. And then lastly, French guys Teo fourth place them two and 1/3 place, though which is equal to four, to receive that using this board account, uh, they're goingto have Chinese for dinner. The second part of the question, then Stan is what if the next day and the French restaurants were closed so now is using us still using aboard account where that now there's only two choices which restaurant I'm going to go to and so we can see that you know Italian now has two still to first place those. But now, since there are only two restaurants, each first place about is only worth 10 points and then one second place vote that equals five. And now Chinese has to second place in those and won first place Bill, which is only worth four times that. We see that with only two choices. I have the Italian restaurant on me, the one where you eat and the last part of the question asked Tess. How does Parts A and B relate to Erin's Impossibility theorem and still remember that era's impossibility? Theorem says there's no way to aggregate individual preferences into a valid that abstention presences. And I would argue that our results from Parts A and B support this because we can see that one specially in part a. The restaurant where the most people that was their top difference wasn't the restaurant we ended up going to, and then there's preferences change. When we just came to a couple of the parameters of the problem and many of them were unanimous. Decision is there's no way to make everybody happy on said. This word is Chapter 22 problem six.
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