The Evolution of Coordination under Inertia
This paper models the phenomenon of inertia driven by individual strategy switching costs in a stochastic evolutionary context. Kandori, Mailath, and Rob`s (1993) model of a finite population of agents repeatedly playing a 2x2 symmetric coordination game is extended to allow for such inertia. Taking noise to the limit, a number of new short- to medium-run equilibria emerge, centred around the mixed-strategy equilibrium. Thus, unusually, an evolutionary model is seen to provide some justification for the controversial concept of mixed-strategy equilibrium. However, Kandori, Mailath, and Rob`s long-run selection of the risk-dominant equilibrium continues to hold, both under fixed-rate mutations and under state-dependent mutations driven by stochastic switching costs. The key to this is the satisfaction of Blume`s (1999) skew-symmetry of the noise process, which is shown to be crucial even under simultaneous strategy revisions. In fact, the presence of the new short-run equilibria can under certain conditions serve to reduce the expected waiting time before the risk-dominant equilibrium is reached - an instance of Ellison`s (2000) idea that evolution is more rapid when it can proceed via a series of small steps between extremes. This suggests inertia to be a surprisingly efficient phenomenon, and also serves to moderate the force of the Ellison (1993) critique of excessively long transition times in models with vanishing noise.
|Date of creation:||01 Jan 2003|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.economics.ox.ac.uk/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Adam Szeidl & In Ho Lee & Akos Valentinyi, 2001.
"Contagion and State Dependent Mutations,"
IEHAS Discussion Papers
0104, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
- Lee, In Ho & Szeidl, Adam & Valentinyi, Akos, 2000. "Contagion and state dependent mutations," Discussion Paper Series In Economics And Econometrics 0027, Economics Division, School of Social Sciences, University of Southampton.
- van Damme, E.E.C. & Weibull, J., 1998.
"Evolution with Mutations Driven by Control Costs,"
1998-94, Tilburg University, Center for Economic Research.
- Weibull, Jörgen W. & van Damme, Eric, 1998. "Evolution with Mutations Driven by Control Costs," Working Paper Series 501, Research Institute of Industrial Economics.
- Eric Van Damme & Jorgen W Weibull, 1999. "Evolution with Mutations Driven by Control Costs," Levine's Working Paper Archive 2113, David K. Levine.
- Thomas Norman, 2003. "The Evolution of Conflict under Inertia," Economics Papers 2003-W07, Economics Group, Nuffield College, University of Oxford.
- David P. Myatt & Chris Wallace, 2002. "Adaptive Play by Idiosyncratic Agents," Economics Series Working Papers 89, University of Oxford, Department of Economics.
- Barton L. Lipman & Ruqu Wang, 1997.
"Switching Costs in Frequently Repeated Games,"
1190, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
When requesting a correction, please mention this item's handle: RePEc:oxf:wpaper:2003-w06. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Caroline Wise)The email address of this maintainer does not seem to be valid anymore. Please ask Caroline Wise to update the entry or send us the correct address
If references are entirely missing, you can add them using this form.