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      Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics

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      Mathematical Models and Methods in Applied Sciences
      World Scientific Pub Co Pte Lt

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          The architecture of mutualistic networks minimizes competition and increases biodiversity.

          The main theories of biodiversity either neglect species interactions or assume that species interact randomly with each other. However, recent empirical work has revealed that ecological networks are highly structured, and the lack of a theory that takes into account the structure of interactions precludes further assessment of the implications of such network patterns for biodiversity. Here we use a combination of analytical and empirical approaches to quantify the influence of network architecture on the number of coexisting species. As a case study we consider mutualistic networks between plants and their animal pollinators or seed dispersers. These networks have been found to be highly nested, with the more specialist species interacting only with proper subsets of the species that interact with the more generalist. We show that nestedness reduces effective interspecific competition and enhances the number of coexisting species. Furthermore, we show that a nested network will naturally emerge if new species are more likely to enter the community where they have minimal competitive load. Nested networks seem to occur in many biological and social contexts, suggesting that our results are relevant in a wide range of fields.
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            Mean field games

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              Social class, solipsism, and contextualism: how the rich are different from the poor.

              Social class is shaped by an individual's material resources as well as perceptions of rank vis-à-vis others in society, and in this article, we examine how class influences behavior. Diminished resources and lower rank create contexts that constrain social outcomes for lower-class individuals and enhance contextualist tendencies--that is, a focus on external, uncontrollable social forces and other individuals who influence one's life outcomes. In contrast, abundant resources and elevated rank create contexts that enhance the personal freedoms of upper-class individuals and give rise to solipsistic social cognitive tendencies--that is, an individualistic focus on one's own internal states, goals, motivations, and emotions. Guided by this framework, we detail 9 hypotheses and relevant empirical evidence concerning how class-based contextualist and solipsistic tendencies shape the self, perceptions of the social environment, and relationships to other individuals. Novel predictions and implications for research in other socio-political contexts are considered. Copyright 2012 APA, all rights reserved.
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                Author and article information

                Journal
                Mathematical Models and Methods in Applied Sciences
                Math. Models Methods Appl. Sci.
                World Scientific Pub Co Pte Lt
                0218-2025
                1793-6314
                June 15 2016
                June 15 2016
                : 26
                : 06
                : 1051-1093
                Article
                10.1142/S0218202516500251
                ce5cb1c3-1cb3-4084-861b-10848b418ba4
                © 2016
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