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Muncaster, Robert G. Song, Renming Bauer, Robert Muncaster, Robert G. Song, Renming Rapti, Zoi Vlasic, Andrew 2012-09-18T21:17:35Z 2012-09-18T21:17:35Z 2014-09-18T10:00:58Z 2012-08 2012-09-18T21:17:35Z 2012-08 We further generalize the stochastic version of the replicator dynamics due to Fudenberg and Harris. In particular, we add a random jump term to the payo ff function to simulate anomalous events and their e ffects on the fi tness. Assuming a 2 by 2 game and using a particular characteristic of the jump functions we are able to estimate the ergodic measure for all games. Lastly, working with results and methods developed by Imhoff, we prove some stability theorems for an arbitrary n by n game. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-07-06T18:32:29Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Thesis Write Up.tex: 186601 bytes, checksum: f08fbeef56e24e61b792e9ca4b9398e6 (MD5) Vlasic_Andrew.pdf: 12676540 bytes, checksum: f3d6f4e842d0eaa0702f32ef92d5238a (MD5) Made available in DSpace on 2012-09-18T21:17:35Z (GMT). No. of bitstreams: 3 Vlasic_Andrew.pdf: 12676983 bytes, checksum: 88fb1384523fe28596ef60fd74743823 (MD5) license.txt: 4063 bytes, checksum: 3039b1d82f9bb4c2d5212692be515cb5 (MD5) Thesis Write Up.tex: 186601 bytes, checksum: f08fbeef56e24e61b792e9ca4b9398e6 (MD5) Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Seth Robbins (srobbins@illinois.edu) on 2012-09-18T21:21:04Z Item is restricted until 2014-09-18T21:21:01Z Restriction data tranferred 2014-07-01T11:11:20-05:00 Original Data Group with Access UIUC Users [automated] Release Date: 2014-09-18 16:21:01 UTC Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only Restriction Lifted for Item 34720 on 2014-09-18T10:00:58Z. http://hdl.handle.net/2142/34446 en Copyright 2012 Andrew Vlasic Asymptotic stochastic stability evolutionarily stable strategy invariant measure Lyapunov function Nash equilibrium recurrence stochastic differential equation Stochastic stability of replicator dynamics with random jumps Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD