Homework 4: Game Theory (2016)

Prepared by:

Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451



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1. Given the election below:

Determine the winner (if there is one) using the methods listed. Should ties occur break the ties in some reasonable manner that you explain.

a. Plurality

b. Condorcet

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

c. Borda count

(as part of your solution construct a pairwise preference matrix. - which shows votes in a two-way race between the different candidate pairs)

d. Sequential run-off

e (Standard) Run-off


f. Borda count sequential run-off

g. Coombs