**Ordinal Ballot Election Practice (2016)**

Prepared by:

Joseph Malkevitch

Department of Mathematics

York College (CUNY)

Jamaica, New York 11451

email:

__malkevitch@york.cuny.edu__

web page:

__http://york.cuny.edu/~malk__

Given the election below:

Determine the winner (if there is one) using the methods:

a. Plurality

b. Condorcet

(As part of your solution draw a digraph which shows who beats whom in a two-way race. Use a directed edge from X to Y if X beats Y in a two-way contest.)

c. Borda count (to find the count for a candidate use the number of candidates below that person on the ordinal ballot)

(as part of your solution construct a pairwise preference matrix.)

d. Sequential run-off

e (Standard) Run-off

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f. Borda count sequential run-off

g. Coombs

h. Bucklin

Bucklin works as follow: If no one wins a majority based of the first place votes, look at only first and second place votes, to see if someone now has a majority. Continue until a winner emerges. Note at some point several people may have a majority.