TEKS: Chapter 111. Mathematics See All Teacher Resources

111.46.c.5

(5) Fair division. The student applies the adjusted winner procedure and Knaster inheritance procedure to real-world situations. The student is expected to:

(A) use the adjusted winner procedure to determine a fair allocation of property;

(B) use the adjusted winner procedure to resolve a dispute;

(D) solve fair division problems with three or more players using the Knaster inheritance procedure;

(E) explain the conditions under which the trimming procedure can be applied to indivisible goods;

(F) identify situations appropriate for the techniques of fair division;

(G) compare the advantages of the divider and the chooser in the divider-chooser method;

(H) discuss the rules and strategies of the divider-chooser method;

(I) resolve cake-division problems for three players using the last-diminisher method;

(J) analyze the relative importance of the three desirable properties of fair division: equitability, envy-freeness, and Pareto optimality; and

(K) identify fair division procedures that exhibit envy-freeness.

Substandards

TEKS.111.46.c.5.A

TEKS.111.46.c.5.B

TEKS.111.46.c.5.C

TEKS.111.46.c.5.D

TEKS.111.46.c.5.E

TEKS.111.46.c.5.F

TEKS.111.46.c.5.G

TEKS.111.46.c.5.H

TEKS.111.46.c.5.I

TEKS.111.46.c.5.J

TEKS.111.46.c.5.K