DM.6† Historically, popular voting methods have often led to The student will use problem solving, mathematical communication, counterintuitive results. mathematical reasoning, connections, and representations to A candidate who wins over every other candidate in a one-on-one Determine in how many different ways a can rank choices. ballot is a Condorcet winner. Investigate and describe the following voting procedures: A Borda count assigns points in descending order to each voter’s weighted voting; subsequent ranking and then adds these points to arrive at a group’s plurality; final ranking. majority; To select a voting system is to compromise between the shortcomings sequential (winners runoff); inherent in each system. sequential (losers are eliminated); Borda count; and Condorcet winner. Compare and contrast different voting procedures. Describe the possible effects of approval voting, insincere and sincere voting, a preference schedule, and strategic voting on the election outcome. Standard should be included in a one-semester course in Discrete Mathematics. †
DM.6† Historically, popular voting methods have often led to counterintuitive results. A candidate who wins over every other candidate in a one-on-one ballot is a Condorcet winner. A Borda count assigns points in descending order to each voter’s subsequent ranking and then adds these points to arrive at a group’s final ranking. To select a voting system is to compromise between the shortcomings inherent in each system. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Determine in how many different ways a can rank choices. Investigate and describe the following voting procedures: weighted voting; plurality; majority; sequential (winners runoff); sequential (losers are eliminated); Borda count; and Condorcet winner. Compare and contrast different voting procedures. Describe the possible effects of approval voting, insincere and sincere voting, a preference schedule, and strategic voting on the election outcome. † Standard should be included in a one-semester course in Discrete Mathematics.