Universiteit Leiden

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Proefschrift

Strategy Dynamics

In the thesis the dynamics of strategies is studied from two perspectives.In the first part of the thesis strategies are considered to be opinions present in a community.

Auteur
Jacobs, F.J.A.
Datum
08 december 2020
Links
Thesis in Leiden Repository

In the thesis the dynamics of strategies is studied from two perspectives.In the first part of the thesis strategies are considered to be opinions present in a community. Firstly, the change of support in time for two opinions is being analysed in case opinion bearers repeatedly meet in groups of size three. An opinion bearer is either an inflexible or a floater. An inflexible always adheres to the supported opinion, whereas a floater changes from opinion if the originally supported opinion has the minority in the group. A second chapter on opinion dynamics allows floaters to show either contrarian or non-contrarian behaviour. Both types of floaters adopt the opinion that has the majority in the group of size three, but a contrarian floater subsequently shifts to the alternative opinion.The second part deals with adaptive dynamics. Adaptive dynamics mathematically models the formation of evolutionary trees. The focus here is on phenotypic strategies present in ecological communities. The interest does not so much lie in the densities these strategies have, but in which strategies are present in the course of evolutionary time. The changes in presence are caused by repeated invasions of a mutant population in which the individuals express a strategy that deviates from those present in the invaded community.

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