Original Article

International Journal of Game Theory

, Volume 34, Issue 3, pp 305-318

First online:

Definitions of equilibrium in network formation games

  • Francis BlochAffiliated withGREQAM, Université d’Aix-Marseille Email author 
  • , Matthew O. JacksonAffiliated withDepartment of Economics, Stanford University

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We examine a variety of stability and equilibrium definitions that have been used to study the formation of social networks among a group of players. In particular we compare variations on three types of definitions: those based on a pairwise stability notion, those based on the Nash equilibria of a link formation game, and those based on equilibria of a link formation game where transfers are possible.


Networks Network games Game theory Equilibrium Side payments Transfers Bargaining

JEL Classification Numbers

D85 C71 C72 L14 Z13