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Standards/Math/Texas/DM.5

DM.5

DM Discrete Mathematics for Problem Solving
DM.2
DM.3
DM.4
DM.5
DM.5.ADM.5.BDM.5.CDM.5.DDM.5.EDM.5.FDM.5.GDM.5.HDM.5.IDM.5.JDM.5.K
DM.6
DM.7

Fair division. The student applies the adjusted winner procedure and Knaster inheritance procedure to real-world situations.

DM.5.AUse the adjusted winner procedure to determine a fair allocation of property.DM.5.BUse the adjusted winner procedure to resolve a dispute.DM.5.CExplain how to reach a fair division using the Knaster inheritance procedure.DM.5.DSolve fair division problems with three or more players using the Knaster inheritance procedure.DM.5.EExplain the conditions under which the trimming procedure can be applied to indivisible goods.DM.5.FIdentify situations appropriate for the techniques of fair division.DM.5.GCompare the advantages of the divider and the chooser in the divider-chooser method.DM.5.HDiscuss the rules and strategies of the divider-chooser method.DM.5.IResolve cake-division problems for three players using the last-diminished method.DM.5.JAnalyze the relative importance of the three desirable properties of fair division: equitability, envy-freeness, and Pareto optimality.DM.5.KIdentify fair division procedures that exhibit envy-freeness.
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