Network Potentials

Arbeitspapier

A network payoff function assigns a utility to all participants in a (social) network. In this paper we discuss properties of such network payoff functions that guarantee the existence of certain types of pairwise stable networks and the convergence of certain network formation processes. In particular we investigate network payoff functions that admit an exact network potential or an ordinal network potential. We relate these network potentials to exact and ordinal potentials of a non-cooperative network formation game based on consent in link formation. Our main results extend and strengthen the current insights in the literature on game theoretic approaches to social network formation.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Bonn Econ Discussion Papers ; No. 28/2005

Classification and Topics

• Classification: Wirtschaft ; Game Theory and Bargaining Theory: Other ; Noncooperative Games ; Network Formation and Analysis: Theory
• Subject: Network formation ; pairwise stability ; potential functions

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Chakrabarti, Subhadip ; Gilles, Robert Paul
• Event: Veröffentlichung
• (who): University of Bonn, Bonn Graduate School of Economics (BGSE)
• (where): Bonn
• (when): 2005

Further information

• Handle: http://hdl.handle.net/10419/22934
• Last update: 10.03.2025, 11:45 AM CET