Evolutionary Selection against Iteratively Weakly Dominated Strategies
(2019) In Games and Economic Behavior 117. p.82-97- Abstract
- This paper provides sufficient conditions under which regular payoff monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive a sequence of iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies and first-price auctions. Our conditions also imply evolutionary selection against iteratively strictly dominated strategies.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/45786328-e22a-4e0a-bf33-76983055a52e
- author
- Bernergård, Axel and Mohlin, Erik LU
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Iterated elimination of weakly dominated strategies, Iterated admissibility, Payoff monotonicity, Convex monotonicity, Evolutionary dynamics, Replicator dynamic, C72, C73
- in
- Games and Economic Behavior
- volume
- 117
- pages
- 82 - 97
- publisher
- 0899-8256
- external identifiers
-
- scopus:85068076580
- ISSN
- 0899-8256
- DOI
- 10.1016/j.geb.2019.05.009
- language
- Swedish
- LU publication?
- yes
- id
- 45786328-e22a-4e0a-bf33-76983055a52e
- date added to LUP
- 2019-06-26 15:38:18
- date last changed
- 2022-04-26 02:33:16
@article{45786328-e22a-4e0a-bf33-76983055a52e, abstract = {{This paper provides sufficient conditions under which regular payoff monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive a sequence of iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies and first-price auctions. Our conditions also imply evolutionary selection against iteratively strictly dominated strategies.}}, author = {{Bernergård, Axel and Mohlin, Erik}}, issn = {{0899-8256}}, keywords = {{Iterated elimination of weakly dominated strategies; Iterated admissibility; Payoff monotonicity; Convex monotonicity; Evolutionary dynamics; Replicator dynamic; C72; C73}}, language = {{swe}}, pages = {{82--97}}, publisher = {{0899-8256}}, series = {{Games and Economic Behavior}}, title = {{Evolutionary Selection against Iteratively Weakly Dominated Strategies}}, url = {{http://dx.doi.org/10.1016/j.geb.2019.05.009}}, doi = {{10.1016/j.geb.2019.05.009}}, volume = {{117}}, year = {{2019}}, }