论文信息 - On the number and the distribution of the nash equilibria in supermodular games and their impact on the tipping set

On the number and the distribution of the nash equilibria in supermodular games and their impact on the tipping set

In this paper we analyze a class of n-person supermodular games that arise in the context of interdependent security analysis. More specifically, we quantify the number and the distribution of Nash equilibria in pure strategies and their impact on the tipping set.

S. Lakshmivarahan | Sudarshan K. Dhall | Pramode Verma

[1] Lin Zhou,et al. The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice , 1994 .

[2] D. M. Topkis. Supermodularity and Complementarity , 1998 .

[3] H. Kunreuther,et al. Interdependent Security , 2003 .

[4] M. Dufwenberg. Game theory. , 2011, Wiley interdisciplinary reviews. Cognitive science.

[5] Paul R. Milgrom,et al. Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities , 1990 .

[6] Avinash Dixit,et al. Clubs with Entrapment , 2003 .

[7] X. Vives. Nash equilibrium with strategic complementarities , 1990 .

[8] T. Schelling. Micromotives and Macrobehavior , 1978 .

[9] Andrew McLennan,et al. The Maximal Generic Number of Pure Nash Equilibria , 1997 .

[10] H. Kunreuther,et al. IDS Models of Airline Security , 2005 .

[11] M. Gladwell,et al. The Tipping Point , 2011 .

[12] Howard Kunreuther,et al. Supermodularity and Tipping , 2006 .

[13] X. Vives. Complementarities and Games: New Developments , 2004 .

[14] Donald M. Topkis,et al. Minimizing a Submodular Function on a Lattice , 1978, Oper. Res..

[15] H. Kunreuther,et al. Social Reinforcement: Cascades, Entrapment and Tipping , 2007 .

[16] D. M. Topkis. Equilibrium Points in Nonzero-Sum n-Person Submodular Games , 1979 .