… 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 …

… Nevertheless, the idea of maximizing the Nash social welfare … But it does not give useful
guarantees for the type of … Recall that our objective function is the log of the Nash welfare. Hence…

… 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 …

… social welfare. In a dynamic context in which the relative number of firms (ie, the percentage
of firms of type G and of type … coordinate themselves on the Nash equilibrium given the level …

… To formalize the two market designs (i) and (ii), we introduce the costs, utility functions,
social welfare, private information and main assumptions on which our model relies. …

… Nash Bargaining (NB) [14], a type of cooperative game, describes the … the quadratic functions
into piecewise linear functions, … In the proposed model, we can improve social welfare and …

… of the analysis, are a function only of the set of agreements … contracting literature to analyze
similar types of problems (cf. … We discuss the role of equilibria with immediate agreement …

… The REM given by this paper is composed of some kinds of … The target of game is to maximize
the revenue functions as U … Take social benefits of retailers into account, the average price …

… There are two kinds of fully distributed Nash equilibrium … functions, a gradient-like algorithm
can be leveraged to optimize clusters’ objective functions [105], [107], thus achieving Nash …

… Each player has access to her own smooth local cost function and can communicate to her
… to a Nash equilibrium with a geometric rate. Furthermore, we introduce the Nesterov type …