Elements of a Fair Division Problem

• A set of N players: P₁ , P₂ , . . . , P_N
• A set of goods, S to be divided

The problem is to divide the set S into N shares ( s₁ , s₂ , . . . , s_N ) so that each player gets a "fair share" of S.

For instance, if a piece of real estate is to be fairly divided among 4 people, then N=4; the players, P₁ , P₂ , P₃., and P₄ are the people among whom the real estate is to be divided; and the real estate is the set, S.

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