Another alternate is rank order voting in which individual assign a particular rank order vote according to their preference and lower rank value represents most preferred allocation.
Problem with rank order vote is that it may lead to no decisions if same rank is assigned.
In addition, outcome can be manipulated by including more variables. Therefore, an important question arises which says is there any social decision mechanism in order to get social preference.
Following are the few properties that are required in order to have social preferences:-
When a set of complete, transitive or reflexive preferences is give, social decision mechanism ought to result in social preferences that satisfy the same properties.
If all the people prefer allocation x to allocation y, then social preferences should rank x prior to y.
The preferences between x and y must depend on the ranking between x and y and not on how people rank other allocations.
As these three requirements cannot be satisfied together, according to Arrow’s Impossibility Theorem if a social decision mechanism satisfies all these three properties then it must be a dictatorship implying that these three desirable features are inconsistent with democracy.
