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class+February+1 - Math 103 Section 11 February 1 2011 Dear...

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Math 103, Section 11, February 1, 2011 Dear Students, I hope you come to see me if you have questions. There are also Learning Centers for help. Here is the information about the Learning Centers. The learning centers are offering free drop-in tutoring for Math 103 at the following times each week: College Ave (Kreeger Learning Center) Monday 3-5pm Tuesday 10am-12pm Douglass (Loree Hall) Tuesday 5:30-7:30pm Wednesday 2-4pm 1. Submitted Homework due date: For Chapter 1: Exercises 34,38,42,60 due on Tuesday, February 1. 2. Submitted Homework for Chapter 2: 18b, 18c, 20,24,28d,34,36. Due dates to be announced. 3. Homework to be discussed on Friday, February 4, 2011 1. In the weighted voting system, [30:10,10,10,9], Identify all dictators, dummies, and players with veto power. Write out all winning coalitions, and underline the critical player(s) in each one. 2. In the weighted voting system, [24:16,8,4,1], Identify all dictators, dummies, and players with veto power. Write out all winning coalitions, and underline the critical player(s) in each one. 3. Consider the weighted voting system [14:10,7,4,2] Identify all dictators, dummies, and players with veto power. Write out all winning coalitions, and underline the critical player(s) in each one. 4. Consider the weighted voting system [15:10,7,4,2] Identify all dictators, dummies, and players with veto power. Write out all winning coalitions, and underline the critical player(s) in each one.
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Arrow's Impossibility Theorem : Every preference voting system violates at least one of the four fairness criteria we have discussed. Arrow’s Impossibility Theorem (another formulation):   It is mathematically  impossible for a democratic preference voting method to satisfy all of the fairness  criteria. High praise to Phylisha! A penny for your thoughts! 5. The sum of consecutive integers formula is 1+2+3+4+5+…+L=L*(L+1) 2 where L is the last integer to be added. Exercise 1. You are having a Thanksgiving dinner and there will be 31 people around the table. You make a toast and everyone clinks glasses. How many glass clinks are there? Answer near end of handout. Exercise 2. On January 1, you put $1. in your piggy bank. On January 2, you put $2. in your piggy bank. On January 3, you put $3. In your piggy bank. You continue putting money in your piggy bank for the whole month of January. How much money will be in your piggy bank on February 1? Answer near end of handout. What’s wrong with the plurality with elimination method? Table1-9 Results of the Straw Poll -Need 15 votes to win # of voters 7 8 10 4 1 st choice A B C A 2 ND choice B C A C 3 rd choice C A B B Find the winner using the plurality with elimination method. Candidate
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This note was uploaded on 01/20/2012 for the course MATH 103 taught by Professor Berkowitz during the Spring '07 term at Rutgers.

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class+February+1 - Math 103 Section 11 February 1 2011 Dear...

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