--- _id: '1673' abstract: - lang: eng text: 'When a new mutant arises in a population, there is a probability it outcompetes the residents and fixes. The structure of the population can affect this fixation probability. Suppressing population structures reduce the difference between two competing variants, while amplifying population structures enhance the difference. Suppressors are ubiquitous and easy to construct, but amplifiers for the large population limit are more elusive and only a few examples have been discovered. Whether or not a population structure is an amplifier of selection depends on the probability distribution for the placement of the invading mutant. First, we prove that there exist only bounded amplifiers for adversarial placement-that is, for arbitrary initial conditions. Next, we show that the Star population structure, which is known to amplify for mutants placed uniformly at random, does not amplify for mutants that arise through reproduction and are therefore placed proportional to the temperatures of the vertices. Finally, we construct population structures that amplify for all mutational events that arise through reproduction, uniformly at random, or through some combination of the two. ' acknowledgement: 'K.C. gratefully acknowledges support from ERC Start grant no. (279307: Graph Games), Austrian Science Fund (FWF) grant no. P23499-N23, and FWF NFN grant no. S11407-N23 (RiSE). ' article_number: '20150114' author: - first_name: Ben full_name: Adlam, Ben last_name: Adlam - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin full_name: Nowak, Martin last_name: Nowak citation: ama: 'Adlam B, Chatterjee K, Nowak M. Amplifiers of selection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015;471(2181). doi:10.1098/rspa.2015.0114' apa: 'Adlam, B., Chatterjee, K., & Nowak, M. (2015). Amplifiers of selection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London. https://doi.org/10.1098/rspa.2015.0114' chicago: 'Adlam, Ben, Krishnendu Chatterjee, and Martin Nowak. “Amplifiers of Selection.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Royal Society of London, 2015. https://doi.org/10.1098/rspa.2015.0114.' ieee: 'B. Adlam, K. Chatterjee, and M. Nowak, “Amplifiers of selection,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 471, no. 2181. Royal Society of London, 2015.' ista: 'Adlam B, Chatterjee K, Nowak M. 2015. Amplifiers of selection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471(2181), 20150114.' mla: 'Adlam, Ben, et al. “Amplifiers of Selection.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 471, no. 2181, 20150114, Royal Society of London, 2015, doi:10.1098/rspa.2015.0114.' short: 'B. Adlam, K. Chatterjee, M. Nowak, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2015).' date_created: 2018-12-11T11:53:24Z date_published: 2015-09-08T00:00:00Z date_updated: 2021-01-12T06:52:26Z day: '08' ddc: - '000' department: - _id: KrCh doi: 10.1098/rspa.2015.0114 ec_funded: 1 file: - access_level: open_access checksum: e613d94d283c776322403a28aad11bdd content_type: application/pdf creator: kschuh date_created: 2019-04-18T12:39:56Z date_updated: 2020-07-14T12:45:11Z file_id: '6342' file_name: 2015_rspa_Adlam.pdf file_size: 391466 relation: main_file file_date_updated: 2020-07-14T12:45:11Z has_accepted_license: '1' intvolume: ' 471' issue: '2181' language: - iso: eng month: '09' oa: 1 oa_version: Published Version project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 2584A770-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P 23499-N23 name: Modern Graph Algorithmic Techniques in Formal Verification - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences' publication_status: published publisher: Royal Society of London publist_id: '5477' quality_controlled: '1' scopus_import: 1 status: public title: Amplifiers of selection type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 471 year: '2015' ...