Exam 8: Voting and Social Choice

If there are three or more candidates, there is no voting system (other than a dictatorship) for which both the Condorcet winner criterion and the independence of irrelevant alternatives hold.

Adam and Brandy divide an art collection using the initial bids: Using the adjusted winner procedure, who initially receives the drawings?

The vote tally of ranked ballots for a slate of four candidates is as follows:

The number of times that a voter is critical in some winning coalition divided by the total number of instances of critical voters is:

There are four candidates in an election. The table shows a part of the winner of one-on-one election. Which of the following is correct?

The vote tally of ranked ballots for a slate of four candidates is as follows:

Amber and Matthew divide household items using the initial bids: Using the adjusted winner procedure, who initially receives the dishes?

Suppose that there are only three hypothetical states with a distribution of popular and electoral votes as shown in the table below. Find the ordering of the Shapley-Shubik indexes for states using the popular vote. Assume that a simple majority is required.

Amber and Matthew divide household items using the initial bids: Using the adjusted winner procedure, who is the leader?

In the adjusted winner procedure, the first item whose transference would change the lead is the critical item.

The vote tally of ranked ballots for a slate of four candidates is as follows:

Amber and Matthew divide household items using the initial bids: Using the adjusted winner procedure, who is the leader?

The vote tally of ranked ballots for a slate of four candidates is as follows:

The vote tally of ranked ballots for a slate of four candidates is as follows: Is there a Condorcet winner?

The vote tally of ranked ballots for a slate of four candidates is as follows:

A set of voters with enough votes to determine the outcome of an election is a:

In the _______________ procedure, one person divides the items into two parts and the other person chooses which part he or she wants.

Suppose a country consists of 35 states, each of which is assigned a certain number of electoral votes. How many vote orders would we need to consider in order to calculate the Shapley-Shubik index for each state?

Alice, Bobby, Cathy, and David wish to divide a business property. Using the Knaster procedure with the given bids, what is the size of the kitty?

The U.S. population in 1860 was 31,443,321 and the House size was set at 238. What was the ideal congressional district size in 1860?