09 Jun Question S19 SOCI 111: Social Networks Homework 3 – 91 points total DUE: 5/28/19
Question
S19 SOCI 111: Social Networks Homework 3 – 91 points total DUE: 5/28/19
Instructions:
As before, these problems give you an opportunity to use the concepts and techniques we’ve learned in class to analyze interesting social systems. This time I’ve leaned more toward interesting conceptual puzzles rather than brute calculations. I encourage you to work in groups (of no more than 5), but each student should prepare her or his own solutions, along with a note at the top of your assignment crediting other members of the working group. Please make sure you truly understand the solution to a problem, and please: DO NOT COPY SOLUTIONS. This includes copying solutions from earlier years. We will figure it out. In particular, do not go to the testbank at SAC, do not go to Course Hero, and do not get solutions from friends who have taken the course in the past. This will impede your learning, it will not prepare you for the final exam, and I will treat it as academic misconduct.
In general, you should show your work rather than just writing down a number. This makes it easier for us to see that you know what you are doing, and easier for you to see when you’ve made a trivial mistake. On the other hand, don’t just throw everything vaguely relevant at the wall and hope that something sticks. You need to be judicious!
Please turn in a hard copy of your solutions to the TA at the beginning of class. Your submission should be neat and legible: you can type it up or write it out by hand, but we aren’t going to engage in decipherment here. Please follow the breakdown of questions into parts (a, b, c, etc.) to make these easier for your TA to grade.
Q1. Suppose a network exchange theory experiment is run on the graph depicted below using the one-exchange rule.
a. Say which node or nodes you would expect to make the most money (i.e., receive the most favorable exchanges). (2 points)
b. Explain why you would expect these nodes to make the most money. (3 points)
c. Do you think the advantage experienced by the most powerful nodes in this graph will be more similar to the advantage experienced by the most powerful node on a 3-node path, or more similar to the advantage experienced by the most powerful node on a 4-node path? (2 points)
d. Give a brief (1-3 sentence) explanation for your answer to part c, and be sure to compare the advantage experienced by the most powerful nodes in this graph to the most powerful nodes in the 3-node path and the 4- node path. (You do not need to give actual numbers for the amounts of money the nodes would receive). (4 points)
Q2. Now consider the following outcome of a network exchange experiment:
Bold lines represent the matching (who exchanges with whom), while the numbers give the values.
a. Is this outcome stable? (2 points)
b. Explain how you know whether or not the outcome is stable. (2 points)
c. Is this outcome balanced? (2 points)
d. Explain your answer to part c and show your work. Make sure you do the appropriate calculation for all edges in the matching.
i. Calculation for A-B (2 points) ii. Calculation for C-D (2 points) iii. Calculation for E-F (2 points) iv. How do these calculations allow you to see whether or not the outcome is balanced? (1 point)
Q3. Now consider the following outcome for a network-exchange theory experiment:
a. If you performed the experiment with real people, would you expect to see these precise values? (2 points)
b. Why or why not? Explain! (3 points)
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