A 'Dual'-Improved Shortcut to the Long Run
I use the theories of duality and optimal branchings to find a necessary and sufficient characterization of stochastically stable limit sets (SSLS) that helps improve the radius-modified coradius test of Ellison (2000). The improved shortcut I offer may permit the identification of SSLS when Ellison's radius-modified coradius test fails to identify any, or may be able to pinpoint the true SSLS in cases where Ellison's test identifies only a superset. I also demonstrate precisely why the radius-modified coradius test is not universally applicable and illuminate the connection between the modified coradius and the Lagrange multipliers of the optimal branching problem.
|Date of creation:||Mar 2008|
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- Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 17-45.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Troger, Thomas, 2002. "Why Sunk Costs Matter for Bargaining Outcomes: An Evolutionary Approach," Journal of Economic Theory, Elsevier, vol. 102(2), pages 375-402, February.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993.
"Learning, Mutation, and Long Run Equilibria in Games,"
Econometric Society, vol. 61(1), pages 29-56, January.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
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