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Standards/Math/Texas/DM.4

DM.4

DM Discrete Mathematics for Problem Solving
DM.2
DM.3
DM.4
DM.4.ADM.4.BDM.4.CDM.4.DDM.4.EDM.4.FDM.4.GDM.4.HDM.4.IDM.4.J
DM.5
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DM.7

Group decision making. The student uses mathematical processes to apply decision-making schemes. The student analyzes the effects of multiple types of weighted voting and applies multiple voting concepts to real-world situations.

DM.4.ADescribe the concept of a preference schedule and how to use it.DM.4.BExplain how particular decision-making schemes work.DM.4.CDetermine the outcome for various voting methods, given the voters' preferences.DM.4.DExplain how different voting schemes or the order of voting can lead to different results.DM.4.EDescribe the impact of various strategies on the results of the decision-making process.DM.4.FExplain the impact of Arrow's Impossibility Theorem.DM.4.GRelate the meaning of approval voting.DM.4.HExplain the need for weighted voting and how it works.DM.4.IIdentify voting concepts such as Borda count, Condorcet winner, dummy voter, and coalition.DM.4.JCompute the Banzhaf power index and explain its significance.
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