… so-called Bernoulli-Nash Social Welfare Function. We introduce a … Social Welfare Function
A utilitarian social welfare function … SWFs of this type are used in most ambulance planning …

… achieve some kind of balance between the efficiency of the maximum utilitarian social
welfare—… We first identify the subclasses of valuation functions for which the MNW allocations are …

… , we show a price of anarchy type result: for general concave … yields an approximate
CE for all concave utility functions; we … Nash social welfare for indivisible items under separable, …

… In this case, we could write each agent’s utility function as \(u_i(x_i) = \max _{p \in P_i} \min
_{j \in p} x_{ij}\), where \(P_i\) is the set of paths from agent i’s desired source to desired …

… functions are part of the input. The goal is to find an allocation of the goods A = (A1,...,An) to
maximize the Nash social welfare… We will consider two kinds of alternating paths in Gh : A- A-…

… The most common type of valuation functions are additive … In terms of social welfare,
however, every allocation is equally … other, as all complete allocations have social welfare of 2. …

… We discuss different kinds of aggregation procedures that have been studied in the literature.
… As a final remark, note that the three social welfare functions we defined above (utilitarian, …

… the type of fairness that can be attained when an allocation reaches the maximum Nash Social
Welfare… Throughout this paper, we adopt the assumption that the valuation function vi(·) of …

… Furthermore, the Nash welfare function has been used … When there is only one type the
instance is identical and we … Approximating Nash social welfare under submodular valuations …

… social welfare functions are characterized by the weak Pareto principle, a continuity axiom,
and the following informational robustness property: the social … Nash social welfare functions …