1. Consider an economy populated by three groups of individuals. Individuals can be poor (P), middle income (M) or rich (R), and their income is Y'p = 1/2, Y'M = 2/3 and YR = 1, respectively, and their proportions in the population are Op = 45%, OM = 30% and OR = 25%, respectively. The indirect utility function is: V(G) = [Y, - G] + y;InG = Y; - G+ (A - Y) InG Questions: a) Calculate the political equilibrium in a majority voting election b) Calculate the political equilibrium in a probabilistic voting model, in which the density of the ideology distribution function is equal to one in every income group, i.e., $ = 1 for all J, and the density of the average popularity, Y is equal to 1