Voting
Voting systems based on majority rule are susceptible to strategic agenda-setting. Let’s explore how one might do this on some basic examples. 1. Suppose there are four alternatives, named A, B, C, and D. There are three voters who have the following individual rankings: That is, we have:
C ≻1 D ≻1 A ≻1 B
D ≻2 A ≻2 C ≻2 B
B ≻3 C ≻3 D ≻3 A
You’re in charge of designing an agenda for considering the alternatives in pairs and eliminating them using majority vote, via an elimination tournament
(a) Can you design an agenda in which A wins? If so, describe how you would structure it; if not, explain why it is not possible.
(b) Can you design an agenda in which B wins? If so, describe how you would structure it; if not, explain why it is not possible.
(c) Can you design an agenda in which C wins? If so, describe how you would structure it; if not, explain why it is not possible.
(d) Can you design an agenda in which D wins? If so, describe how you would structure it; if not, explain why it is not possible.
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