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Thesis_final.pdf (1.94 MB)
ETD Abstract Container
Abstract Header
Singularity Theory of Strategy Functions Under Dimorphism Equivalence
Author Info
Wang, Xiaohui
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1426460461
Abstract Details
Year and Degree
2015, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
We study dimorphisms by applying adaptive dynamics theory and singularity theory based on a new type of equivalence relation called dimorphism equivalence. Dimorphism equivalence preserves ESS singularities, CvSS singularities, and dimorphisms for strategy functions. Specifically, we classify and compute normal forms and universal unfoldings for strategy functions with low codimension singularities up to dimorphism equivalence. These calculations lead to the classification of local mutual invasibility plots that can be seen in systems of two parameters. This problem is complicated because the allowable coordinate changes are restricted to those that preserve dimorphisms and the singular nature of strategy functions; hence the singularity theory applied in this thesis is not a standard one.
Committee
Martin Golubitsky, Dr. (Advisor)
Yuan Lou, Dr. (Committee Member)
King-Yeung Lam, Dr. (Committee Member)
Rephael Wenger, Dr. (Committee Member)
Pages
144 p.
Subject Headings
Evolution and Development
;
Mathematics
Keywords
Singularity Theory, Adaptive Dynamics, Evolutionary Game Theory
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Citations
Wang, X. (2015).
Singularity Theory of Strategy Functions Under Dimorphism Equivalence
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1426460461
APA Style (7th edition)
Wang, Xiaohui.
Singularity Theory of Strategy Functions Under Dimorphism Equivalence.
2015. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1426460461.
MLA Style (8th edition)
Wang, Xiaohui. "Singularity Theory of Strategy Functions Under Dimorphism Equivalence." Doctoral dissertation, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1426460461
Chicago Manual of Style (17th edition)
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Document number:
osu1426460461
Download Count:
1,128
Copyright Info
© 2015, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.