Three core values that are pertinent to the issue of electoral systems are identified: democracy, diversity, and efficiency. I demonstrate that many of the attributes of the current system are not in tune with Canadian constitutional values. Each of these core values is divided into different aspects. I begin with an evaluation of the plurality model of elections, which is currently used in Canada. These aspects will form the backbone of the evaluation of different electoral systems in this work. This research is an enquiry to find an electoral formula that conforms to Canadian constitutional values. Next, I examine proportional systems and demonstrate that these systems too have problems of their own. I introduce a new variant of the majority model, which I call a majority-preferential two-round variant. I demonstrate that this new variant will outperform the other variants in the attainment of values.... In the next stage, I make a new proposal for elections to the Canadian Parliament.