… We have shown the optimal angles for the Bentham-type and Nash-type social welfare
functions. We have also shown the qualitative properties for the two optimal values. For the …

… (Nash) tariffs with the cooperative (social) tariffs and we classify the game type according to
… function of the countries. We compare such tariffs and classify the games according to their …

… bundle in the optimal Nash social welfare allocation. Recently, … on a special type of matching,
namely Nash Social Welfare … Throughout the paper, we assume that a valuation function vi …

… Other important examples of welfare functions captured by … as egalitarian social welfare, as
well as the utilitarian social welfare, … For the types of valuations that we consider here, ie, for …

… write µ(w) to denote the firm that worker w is matched with under µ, ie, µ(w) := {f ∈ F : µ(w,
f)=1}. Similarly, we will write … decreases as a function of the optimal Nash welfare and provides …

… games considered in this work, the social welfare functions need to be minimized and …
Nash social welfare NSW(Δ) can be seen as continuous composition of several functions of type …

… of all jobs V into certain types, and require that at most one job of each type to be assigned—a
… 2.2 Continuous Valuation Functions The valuation functions v in the Nash social welfare …

… how the competitive ratio deteriorates as a function of the error in the prediction. Our work
contributes to this literature by proposing a natural type of parameter to predict in multiagent …

… or asymmetric, and is the type of agent valuation functions. We skip one or both qualiiers
when they are clear from the context. 2Observe that the partition problem reduces to the NSW …

… We consider the social dilemma related to the … social welfare function (SWF) into our model
that encompasses the three types of Bentham- ( ρ = 0 ), Nash- ( ρ → 1 ), and Rawls-type ( ρ …