Standard 3 : Apply techniques from Election Theory and Fair Division Theory to solve problems.



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General Information

Number: MA.912.LT.3
Title: Apply techniques from Election Theory and Fair Division Theory to solve problems.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 912
Strand: Logic and Discrete Theory

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.LT.3.1: Define and explain the basic concepts of Election Theory and voting.
Clarifications:
Clarification 1: Basic concepts include approval and preference voting, plurality, majority, runoff, sequential runoff, Borda count, Condorcet and other fairness criteria, dummy voters and coalition.
MA.912.LT.3.2: Analyze election data using election theory techniques. Explain how Arrow’s Impossibility Theorem may be related to the fairness of the outcome of the election.
MA.912.LT.3.3: Decide voting power within a group using weighted voting techniques. Provide real-world examples of weighted voting and its pros and cons.
MA.912.LT.3.4: Solve problems using fair division and apportionment techniques.
Clarifications:
Clarification 1: Problems include fair division among people with different preferences, fairly dividing an inheritance that includes indivisible goods, salary caps in sports and allocation of representatives to Congress.