The Power-Dependence Solution to Five Exchange Networks
The power-dependence solution to exchange networks assumes that both members of every exchange have equally good alternatives outside the exchange; this solution is an application of the game-theoretic concept of the kernel  to exchange networks. All the illustrated networks have four or five nodes and all exchanges are worth 24 points. In every network, nodes and divide 24 points, as do nodes and . You can try to equalize dependence within exchanging pairs by controlling the amounts earned by nodes and .[more]
For example, in the 4-line network let earn 16 in a trade with , who earns 8, and let earn 16 in a trade with , who earns 8. If leaves for , his only alternative partner, he will have to offer at least 16 points and will earn the remaining 8, 8 less than he was earning. , who has no alternative partner, will receive nothing, 8 less than what he was earning. and , then, are equally harmed by a change, as are and . This is the power-dependence solution.[less]
 K. S. Cook and T. Tamagishi, "Power in Exchange Networks: A Power-Dependence Formulation," Social Networks, 14(3-4), 1992 pp. 245–265.
 R. B. Myerson, Game Theory: Analysis of Conflict, Cambridge: Harvard University Press, 1991 p. 454.