Title
Perfect foresight dynamics in games with linear incentives and time symmetry
Abstract
This paper investigates absorption and global accessibility under perfect foresight dynamics in games with linear incentives. An action distribution in the society is absorbing if there is no equilibrium path escaping from the distribution, and globally accessible if, from every initial distribution, there exists an equilibrium path which converges to the distribution. Using time symmetry of the dynamics, we show that every absorbing strict Nash equilibrium, if it exists, is globally accessible under zero rate of time preference. With the additional assumption of supermodularity, we prove that there generically exists an absorbing strict Nash equilibrium. Relations with a global game and a reaction-diffusion model also become clear.
Year
DOI
Venue
2008
10.1007/s00182-007-0101-6
Int. J. Game Theory
Keywords
DocType
Volume
perfect foresight dynamics · games with linear incentives · supermodular games · equilibrium selection,nash equilibrium,equilibrium selection,time preference,reaction diffusion,global game,dynamic game
Journal
37
Issue
ISSN
Citations 
1
1432-1270
1
PageRank 
References 
Authors
0.37
8
1
Name
Order
Citations
PageRank
Satoru Takahashi1334.39