Efficient and envy-free fair divisions. A fair division is called efficient if there is
Chapter 3, Problem 68(choose chapter or problem)
Efficient and envy-free fair divisions. A fair division is called efficient if there is no other fair division that gives every player a share that is as good or better (i.e., any other fair division that gives some players a better share must give some other players a worse share). A fair division is called envy-free if every player ends up with a share that he or she feels is as good as or better than that of any other player. Suppose that three partners (A, B, and C) jointly own a piece of land that has been subdivided into six parcels (s1, s2,c, s6). The partnership is splitting up, and the partners are going to divide fairly the six parcels among themselves. Table 31 shows the value of each parcel in the eyes of each partner.
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