Tipping and Supermodularity
28 Pages Posted: 15 May 2006
Date Written: April 22, 2006
We model tipping as a game-theoretic phenomenon and investigate the connection between supermodular games, tipping of equilibria and cascading, and apply the results to issues that arise in the context of homeland security and computer security. We show that tipping and cascading can occur in supermodular games and that increasing differences is a sufficient condition for tipping. Supermodularity and tipping of equilibria are closely related. We relate our results to Schelling's early work on tipping.
Keywords: tipping, security, supermodularity, increasing differences, cascading, interdependence, networks
JEL Classification: C72, D80, H23
Suggested Citation: Suggested Citation