Bi†cooperative network games: A link†based allocation rule

Surajit Borkotokey (), Loyimee Gogoi and Diganta Mukherjee

International Journal of Economic Theory, 2018, vol. 14, issue 2, 103-128

Abstract: We study the notion of a bi†cooperative network game and obtain a link†based allocation rule for the corresponding class. Unlike classical network games where players have single motive of forming (or not forming) a network, a player under a bi†cooperative set up has two more variations: all her links attribute exclusively to her positive or negative contributions, or few links are positive while few others are negative. We extend the position value, an important link†based allocation rule in classical network games, and show that it is the only rule for all the three variations of a bi†cooperative network game.

Date: 2018
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