… Somewhat surprisingly, Nash welfare has not been studied for two-sided preferences. Our
work … , let us illustrate a key difference between one-sided and two-sided preferences through …

… 1950, Kaneko and Nakamura 1979) and was proposed by Nash as a solution for … we need
to know the preferences of the participants. When these preferences are private information of …

… social welfare objective. We consider both ordinal mechanisms, where agents submit preference
… We start with the following two lemmas, which prove that in a pure Nash equilibrium of …

… Nashbargaining-based models for one-sided and two-sided matching markets, in both Fisher
and Arrow-Debreu settings, … further explored under the name of Nash Social Welfare [CG18…

… Our paper addresses both these issues by proposing Nash-bargaining-based matching …
-sided but also two-sided. Moreover, all models work for Fisher as well as Arrow-Debreu settings…

… Nevertheless, the idea of maximizing the Nash social welfare … ’s utilitarian notion of social
welfare—maximize the sum of utilities—… Nash welfare is known to be appealing in settings with …

… They studied a twosided matching market and they called it an “important special case of …
Nash bargaining solution. For dichotomous preferences, [7] showed that a Nash social welfare …

… game form which we construct has a unique Nash equilibrium for every preference profile
when the virtually implementable social choice correspondence is actually a function. The …

… heterogeneous preferences over matches on the other side, and the model allows for both
… The solution concept we adopt for most of the analysis is pure-strategy Nash equilibrium. …

… This paper investigates Nash equilibrium under the possibility that preferences may be
incomplete. I characterize the Nash-equilibrium-set of such a game as the union of the Nash-…