155 Spatial Models of Majority Rule form parties of their own promises of the tw

Question

155 Spatial Models of Majority Rule form parties of their own promises of the two parties would be very similar Why is that? How does his conclusion follow from Black's Median-Voter Theorem? :Downs takes politicians to be interested only in winning office. Does a different result (Gi.e, something other than convergence) arise when politicians have strong policy preferences of their own? Under what circumstances? Which other of Downs's assumptions (about the number of candidates, voting behavior, or the dimensionality of the issue space) might explain the apparent differences in party platforms in the United States, and elsewhere?

Explanation / Answer

ANSWERS TO PAGE 149

person 1 person 2 person 3

x y z

y z x

z x y

here we have listed the rankings for 3 alternatives x,y,z by 3 people. majority prefers x to y( person 1 and person 3) a mjority prefers y to z (person 1 and person 2) and a mjority prefers z to x( person 2 and person 3). thus we see that prefernces are not transitive ( x>y , y>z => x>z but here z>x) and therefore there will be no best alterntive from the set of alternatives( x,y,z)

x vs y 1: x ; 2:y ; 3:x x

read as between x and y person 1 will choose x , person 2 will choose y , and person 3 will choose x and thus the result would be the median option of x

y vs z 1:y ; 2:y ;3:z y

z vs x 1:x ; 2:z ; 3:z z

thus we see that no conclusion is reached even when we use black median voter theorem as prefrences are not transitive. hence no policy can be chosen collectively among the three policies x, y, z

since majority prefers x to y , the second contest will be between x and z , which means z will be the outcome.

since majority prefers z to x , the second contest will be between z and y , which means y will be chosen as majority prefers y to z (person 1 and person 2)

since majority prefers y to z , the second contest will be between y and x , which means x will be chosen as majority prefers x to y.

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