Evolutionary Selection against Iteratively Weakly Dominated Strategies
(2017) In Working Papers- Abstract
- This paper provides sufficient conditions under which convex monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies, first-price auctions, finitely repeated Prisoner's Dilemmas, and the p-Beauty Contests. Our conditions also imply evolutionary selection against all iteratively strictly dominated strategies.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5f35d442-cc3c-4d9d-bec5-1b6042ddd7ee
- author
- Bernergård, Axel and Mohlin, Erik LU
- organization
- publishing date
- 2017
- type
- Working paper/Preprint
- publication status
- published
- subject
- keywords
- Iterated elimination of weakly dominated strategies, Iterated admissibility, Payoff monotonicity, Convex monotonicity, Evolutionary dynamics, Replicator dynamic, C72, C73
- in
- Working Papers
- issue
- 2017:18
- pages
- 29 pages
- publisher
- Department of Economics, Lund University
- language
- English
- LU publication?
- yes
- id
- 5f35d442-cc3c-4d9d-bec5-1b6042ddd7ee
- alternative location
- https://swopec.hhs.se/lunewp/abs/lunewp2017_018.htm
- date added to LUP
- 2018-02-16 11:19:51
- date last changed
- 2019-06-27 08:19:34
@misc{5f35d442-cc3c-4d9d-bec5-1b6042ddd7ee, abstract = {{This paper provides sufficient conditions under which convex monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies, first-price auctions, finitely repeated Prisoner's Dilemmas, and the p-Beauty Contests. Our conditions also imply evolutionary selection against all iteratively strictly dominated strategies.}}, author = {{Bernergård, Axel and Mohlin, Erik}}, keywords = {{Iterated elimination of weakly dominated strategies; Iterated admissibility; Payoff monotonicity; Convex monotonicity; Evolutionary dynamics; Replicator dynamic; C72; C73}}, language = {{eng}}, note = {{Working Paper}}, number = {{2017:18}}, publisher = {{Department of Economics, Lund University}}, series = {{Working Papers}}, title = {{Evolutionary Selection against Iteratively Weakly Dominated Strategies}}, url = {{https://swopec.hhs.se/lunewp/abs/lunewp2017_018.htm}}, year = {{2017}}, }