Welfare

Dependencies:

1. Fair division

For a fair division instance $(N, M, V, w)$ and allocation $A$,

• the social welfare is $\sum_{i=1}^n w_iv_i(A_i)$. $A$ is called social-welfare-optimal if it maximizes the social welfare.
• the Nash social welfare is $\prod_{i=1}^n v_i(A_i)^{w_i}$. $A$ is called maximum Nash welfare (MNW) or Nash optimal (NO, NashOpt) if it maximizes the Nash social welfare.
• the egalitarian welfare is $\min_{i=1}^n \frac{v_i(A_i)}{w_i}$.

Dependency for: None

Info:

• Depth: 4
• Number of transitive dependencies: 4

Transitive dependencies:

1. /sets-and-relations/countable-set
2. σ-algebra
3. Set function
4. Fair division