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Singularity Theory of Strategy Functions Under Dimorphism Equivalence
Wang, Xiaohui

2015, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Martin Golubitsky, Dr. (Advisor)
Yuan Lou, Dr. (Committee Member)
King-Yeung Lam, Dr. (Committee Member)
Rephael Wenger, Dr. (Committee Member)
144 p.

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Wang, X. (2015). Singularity Theory of Strategy Functions Under Dimorphism Equivalence. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Wang, Xiaohui. "Singularity Theory of Strategy Functions Under Dimorphism Equivalence." Electronic Thesis or Dissertation. Ohio State University, 2015. OhioLINK Electronic Theses and Dissertations Center. 23 Nov 2017.

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Wang, Xiaohui "Singularity Theory of Strategy Functions Under Dimorphism Equivalence." Electronic Thesis or Dissertation. Ohio State University, 2015. https://etd.ohiolink.edu/

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