Equitability
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Equitability is a criterion for fair division. A division is called equitable if the subjective value of all partners is the same, i.e., each partner is equally happy with his/her share. Mathematically, that means that for all partners and : : V_i(X_i) = V_j(X_j) Where: * X_i is the part of the resource allocated to partner ; * V_i is the value function of partner . Usually these functions are normalized such that V_i(\emptyset)=0 and V_i(EntireCake)=1 for every .
Equitability is a criterion for fair division. A division is called equitable if the subjective value of all partners is the same, i.e., each partner is equally happy with his/her share. Mathematically, that means that for all partners and : V_i(X_i) = V_j(X_j) Where: X_i is the part of the resource allocated to partner ; V_i is the value function of partner . Usually these functions are normalized such that V_i(\emptyset)=0 and V_i(EntireCake)=1 for every .
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