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Social choice theory is the study of theoretical and practical methods to aggregate or combine individual preferences into a collective social welfare function. The field generally assumes that individuals have preferences , and it follows that they can be modeled using utility functions , by the VNM theorem .
Less informally, the social choice function is the function mapping each environment S of available social states (at least two) for any given set of orderings (and corresponding social ordering R) to the social choice set, the set of social states each element of which is top-ranked (by R) for that environment and that set of orderings.
A social scoring function maps each candidate to a number representing their quality. For example, the standard social scoring function for first-preference plurality is the total number of voters who rank a candidate first. Every social ordering can be made into a choice function by considering only the highest-ranked outcome.
Sociobiology investigates social behaviors such as mating patterns, territorial fights, pack hunting, and the hive society of social insects. It argues that just as selection pressure led to animals evolving useful ways of interacting with the natural environment , so also it led to the genetic evolution of advantageous social behavior.
Functionalist thought, from Comte onwards, has looked particularly towards biology as the science providing the closest and most compatible model for social science. Biology has been taken to provide a guide to conceptualizing the structure and the function of social systems and to analyzing processes of evolution via mechanisms of adaptation.
May's theorem states that simple majority voting is the unique social welfare function satisfying all three of the following conditions: [1] Anonymity: The social choice function treats all voters the same, i.e. permuting the order of the voters does not change the result.
Social selection is a term used with varying meanings in biology. Joan Roughgarden proposed a hypothesis called social selection as an alternative to sexual selection . Social selection is argued to be a mode of natural selection based on reproductive transactions and a two-tiered approach to evolution and the development of social behavior . [ 1 ]
Émile Durkheim. In sociology, classical theories are defined by a tendency towards biological analogy and notions of social evolutionism: Functionalist thought, from Comte onwards, has looked particularly towards biology as the science providing the closest and most compatible model for social science.