Spatial preferences

Answer the following questions, and upload your answers to Canvas.  You can write your answers in word, or write them by hand and upload a picture or scanned copy as long as it is clearly readable.  You may collaborate with any of your classmates, but make sure that you fully understand how to answer each problem so that you can do a similar problem on the exams.

 

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Spatial preferences

  1. Samuel and Deborah are running for provincial governor in a developing country that does not yet have widespread access to COVID vaccines. Obviously, everyone’s main concern is what precautions to take against COVID. For simplicities sake, assume there are 100 voters, with the following positions
    • 5 favor no restrictions of any type
    • 12 favor mandating masks in public, but no other restrictions
    • 18 favor mask mandates + limiting the number of people that can be in businesses or events at once
    • 13 favor mask mandates, limited occupancy, and restricting travel in and out of the province
    • 35 favor a partial shutdown, with restaurants and bars closed but all other businesses allowed to open with limited occupancy
    • 17 favor a complete shutdown until the virus is under control, such that only grocery stores and medical facilities are open

Both candidates have perfect information about the preferences of the electorate.  The candidate to get the most votes wins, and Samuel and Deborah are the only candidates in the election.  To maximize their chances of getting elected, which option should Samuel and Deborah support?  Explain your reasoning.

 

  1. Bajor is considering how many refugees to accept. The procedure is that the Prime Minister makes a proposal for how many refugees to accept, and then the Parliament (60 members) approves or disapproves this number. Currently, Bajor accepts 20,000 refugees annually.  If no agreement is reached (i.e. Parliament rejects the Minister’s proposal), this number will remain.  The actors have the following preferences:
    • The Prime Minister wants to accept 35,000 refugees
    • 8 Members of Parliament want to accept 0 refugees
    • 14 Members of Parliament want to accept 10,000 refugees
    • 11 Members of Parliament want to accept 15,000 refugees
    • 18 Members of Parliament want to accept 25,000 refugees
    • 7 Members of Parliament want to accept 30,000 refugees
    • 2 Members of Parliament want to accept 50,000 refugees

Assume that all actors have single peaked and symmetric preferences, such that they prefer any outcome closer to their ideal point to one further away.  How many refugees will the Prime Minister propose accepting?  Will Parliament accept or reject this proposal?  How many refugees will Bajor accept?

 

  1. Consider the same problem, but if Parliament rejects the Prime Minister’s proposal, assume that no refugees will be accepted. How many refugees will the Prime Minister propose accepting? Will Parliament accept or reject this proposal? How many refugees will Bajor accept?