… Nash social welfare function, aggregating non-expected utility individual risk preferences
over social states to social ranking of the deterministic social states. The axiomatization of the …

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… yield a unique social welfare function. We now define this social welfare func which we call
the Nash social welfare function. Let U(Ri) be the set of von Neumann and Morgenstern utility …

… functions representing them are called the Nash social welfare orderings and the Nash social
welfare functions … The last functions are ordinal equivalent to −p − (x),−p + (x), respectively. …

… social welfare by means of the Nash product. We focus on the computational complexity
involved in maximizing Nash product social welfare … maximum Nash product social welfare can …

… social welfare by the average Nash product. We provide a fast greedy approximation algorithm
for this problem when the agents’ utility functions … have the same additive utility function. …

… If individual welfare indices are just ordinal, we can always transform a Nash SWF into a …
others, by suitable monotonic transformation of individual welfare indices. For example, Max W=…

… the implications of Nash axioms in ordinal environments, that is… For ordinal environments,
the scale invariance axiom of Nash … It needs to be replaced with a stronger axiom called ordinal …

… Nash equilibrium points, or at subgame-perfect Nash equilibria, or with respect to some other
Nash refinement,4 or even with respect to extended Nash … a function of ordinal preference …

… The Nash social welfare function (also referred to as the Nash collective utility function) is …
An ordinal preference can be induced from any cardinal preference structure, by setting a ≼ …