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Envy coupled with competition divides society into an upper and lower class, game theoretical study shows -- ScienceDaily

Game theory provides the mathematical tools necessary for the modelling of decision situations with several participants, as in Gros' study. In general, constellations in which the decision strategies of the individual actors mutually influence each other are particularly revealing. The success of the individual depends then not only on his or her own actions, but on others' actions as well, which is typical of both economic and social contexts. Game theory is consequently firmly anchored in the economy. The stability condition of game theory, the "Nash equilibrium," is a concept developed by John Forbes Nash in his dissertation in 1950, using the example of poker players. It states that in equilibrium no player has anything to gain by changing their strategy if the other players do not change theirs either. An individual only tries out new behaviour patterns if there is a potential gain. Since this causal chain also applies to evolutionary processes, the evolutionary and behavioural sciences regularly fall back on game theoretical models, for example when researching animal behaviours such as the migratory flight routes of birds, or their competition for nesting sites. Even in an envy-induced class society there is no incentive for an individual to change his or her strategy, according to Gros. It is therefore Nash stable. In the divided envy society there is a marked difference in income between the upper and lower class which is the same for all members of each social class. Typical for the members of the lower class is, according to Gros, that they spend their time on a series of different activities, something game theory terms a "mixed strategy." Members of the upper class, however, concentrate on a single task, i.e., they pursue a "pure strategy." It is also striking that the upper class can choose between various options while the lower class only has access to a single mixed strategy. "The upper class is therefore individualistic, while agents in the lower class are lost in the crowd, so to speak," the physicist sums up.

#economics #class #game-theory - sciencedaily.com

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