A mini-society with five individuals has direct democracy and makes decisions by voting over different alternatives. The voters are labeled 1, 2, 3, 4 and 5, respectively. The mini-society is to decide over three locations for supplying public services and is to vote over various proposals. Three locations are put up for voting, namely A, B and C. The voters have the following preferences (with the operator > indicating "preferred to"): 1: B >C> A, 2: A > B> C, 3: C> B> A, 4: A > C > B. and 5: A>B>C. a) Find the majority voting equilibrium, i.e. the outcome of majority voting over the three locations. b) Which alternative wins with Borda rule? c) Which alternative wins with plurality voting method?

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