TY - JOUR AU - Heal,Geoffrey AU - Kunreuther,Howard TI - Supermodularity and Tipping JF - National Bureau of Economic Research Working Paper Series VL - No. 12281 PY - 2006 Y2 - June 2006 UR - http://www.nber.org/papers/w12281 L1 - http://www.nber.org/papers/w12281.pdf N1 - Author contact info: Geoffrey Heal Graduate School of Business 616 Uris Hall Columbia University New York, NY 10027-6902 Tel: 212/854-6459 Fax: 212/316-9219 E-Mail: gmh1@columbia.edu Howard Kunreuther Operations and Information Management The Wharton School University of Pennsylvania 3730 Walnut Street, 500 JMHH Philadelphia, PA 19104-6366 Tel: 215/898-4589 Fax: 215/573-2130 E-Mail: kunreuther@wharton.upenn.edu M2 - featured in NBER digest on 2006-06-05 AB - 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%u2019s early work on tipping. ER -