Simplified preferences, voting, and the power of combination.

In this paper we interpreted the decision to vote for a particular party as a process of delegation to decision makers having a simplified system of preferences. Each person in a population votes for the political party that place priority on one or more issues that they consider important. Moreover, on the basis of a survey on preferences of population, we have simulated a delegation procedure which chart the selection process of a particular party. Finally, making use of noncommutative harmonic analysis, we decomposed the delegation function, and isolated the effect of a particular affinity, or a combination of either the pair of items that characterize a party. We used noncommutative harmonic analysis as an application of some results obtained by Michael E. Orrison and Brian L. %%@ Lawson in relation to spectral analysis applied in voting in political committees.