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The theorem of the envelopment of societies for resource-dependent populations, also called the Bruss–Duerinckx theorem, is a mathematical result on the behavior of populations which choose their society form according to only two hypotheses, namely those which are seen as most "natural": * Hypothesis 1 (H1): Individuals want to survive and see a future for their descendants, * Hypothesis 2 (H2): The average individual prefers a higher standard of living to a lower one, where H1 is supposed to precede H2 in the case of incompatibility of H1 with H2.

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  • The theorem of the envelopment of societies for resource-dependent populations, also called the Bruss–Duerinckx theorem, is a mathematical result on the behavior of populations which choose their society form according to only two hypotheses, namely those which are seen as most "natural": * Hypothesis 1 (H1): Individuals want to survive and see a future for their descendants, * Hypothesis 2 (H2): The average individual prefers a higher standard of living to a lower one, where H1 is supposed to precede H2 in the case of incompatibility of H1 with H2. Here populations with a society structure are modeled by so-called resource-dependent branching processes (RDBPs).The objective of RDBPs is to model different society structures and to compare the advantages and disadvantages of different societies, with the focus being on human societies. A RDBP is a discrete time branching process (BP) in which individuals are supposed to have to work in order to be able to live and to reproduce. The population decides on a current society form by a policy, that is a prescription of rules how available resources are to be distributed among the individuals. Policies may change over the generations by the interaction of individuals. (en)
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  • The theorem of the envelopment of societies for resource-dependent populations, also called the Bruss–Duerinckx theorem, is a mathematical result on the behavior of populations which choose their society form according to only two hypotheses, namely those which are seen as most "natural": * Hypothesis 1 (H1): Individuals want to survive and see a future for their descendants, * Hypothesis 2 (H2): The average individual prefers a higher standard of living to a lower one, where H1 is supposed to precede H2 in the case of incompatibility of H1 with H2. (en)
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  • Bruss–Duerinckx theorem (en)
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