Chapter 17.2, Problem 56PS

To determine

a)

Which project wins using the Borda count method if $100$ senators vote on appropriation: a new bridge in Alabama ($\text{A}$), a new freeway interchange in California ($\text{C}$), or a grain subsidy for Iowa ($\text{I}$). The preferences of senators are as follows:

$\begin{array}{ccc}\left(\text{ACI}\right)& \left(\text{CIA}\right)& \left(\text{ICA}\right)\\ 10& 38& 52\end{array}$

To determine

b)

How the borda count affects for voters who favor California believes that Iowa could win and they vote insincerely for Alabama as their second choice if $100$ senators vote on appropriation: a new bridge in Alabama ($\text{A}$), a new freeway interchange in California ($\text{C}$), or a grain subsidy for Iowa ($\text{I}$). The preferences of senators are as follows:

$\begin{array}{ccc}\left(\text{ACI}\right)& \left(\text{CIA}\right)& \left(\text{ICA}\right)\\ 10& 38& 52\end{array}$

To determine

c)

Whether those who favor Iowa should still vote the same or not so as to cause the funds to go to Iowa even if they believe the insincere voting in part (b) might take place.