A 'Dual'-Improved Shortcut to the Long Run

30 Pages Posted: 4 Mar 2008

See all articles by Kareen Rozen

Kareen Rozen

Brown University - Department of Economics

Date Written: March 2008

Abstract

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.

Keywords: Evolutionary games, Stochastic stability, Optimal branchings, Extended radius, Extended coradius, Modified coradius

JEL Classification: C73

Suggested Citation

Rozen, Kareen, A 'Dual'-Improved Shortcut to the Long Run (March 2008). Cowles Foundation Discussion Paper No. 1643; Yale Economics Department Working Paper No. 41. Available at SSRN: https://ssrn.com/abstract=1102341

Kareen Rozen (Contact Author)

Brown University - Department of Economics ( email )

64 Waterman Street
Providence, RI 02912
United States

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