The Nash Social Welfare Function

DOI10.2307/1914191zbMath0431.90091OpenAlexW2050020465MaRDI QIDQ3869114

Mamoru Kaneko, Kenjiro Nakamura

Publication date: 1979

Published in: Econometrica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1914191

zbMATH Keywords

Nash bargainingsolution conceptNash social welfare functionlottery spacesvon Neumann Morgenstern utilities

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (34)

Approximating the Nash Social Welfare with Indivisible Items ⋮ Multiplicative decision rules for multiobjective decision problems ⋮ Belief-weighted Nash aggregation of Savage preferences ⋮ Arrow's theorem with a fixed feasible alternative ⋮ An additive approximation scheme for the Nash social welfare maximization with identical additive valuations ⋮ Exact solution approaches for integer linear generalized maximum multiplicative programs through the lens of multi-objective optimization ⋮ An extension of the Nash bargaining problem and the Nash social welfare function ⋮ Almost Envy-Freeness with General Valuations ⋮ EFX under budget constraint ⋮ Exact and approximation algorithms for PMMS under identical constraints ⋮ WPO, COV and IIA bargaining solutions for non-convex bargaining problems ⋮ The Nash social welfare function for a measure space of individuals ⋮ The existence and efficiency of PMMS allocations ⋮ Approval-based apportionment ⋮ The possibility of group choice: pairwise comparisons and merging functions ⋮ Expected utility theory with probability grids and preference formation ⋮ The optimal progressive income tax. The existence and the limit tax rates ⋮ Economic planning based on social preference functions ⋮ Retrospective survey: Kenjiro Nakamura (1947-1979) ⋮ Social preferences for the evaluation of procedures ⋮ Rawlsian Nash solutions ⋮ Minimizing envy and maximizing average Nash social welfare in the allocation of indivisible goods ⋮ Markets for public decision-making ⋮ The ordinal Nash social welfare function ⋮ On measuring welfare `behind a veil of ignorance' ⋮ Recursive Nash bargaining over a productive asset ⋮ On the existence of Pareto efficient and envy-free allocations ⋮ Reformulation of the Nash social welfare function for a continuum of individuals ⋮ Fair and efficient cake division with connected pieces ⋮ On interpersonal utility comparisons ⋮ Independence of the status quo? A weak and a strong impossibility result for social decisions by bargaining ⋮ Fair Cake Division Under Monotone Likelihood Ratios ⋮ Nash social welfare orderings. ⋮ Nash Social Welfare Approximation for Strategic Agents

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