This paper explores the behavior of rational probabilistic deciders (RPDs)in three types of collectives: zero sum matrix games, fractional interactions, andEdgeworth exchange economies. The properties of steady states and transients areanalyzed as a function of the level of rationality,N, and, in some cases, the sizeof the collective,M. It is shown that collectives of RPDs, may or may not behaverationally, depending, for instance, on the relationship betweenNandM(underfractional interactions) orNand the minimum amount of product exchange (in Edgeworth economies). The results obtained can be useful for designing rational reconfigurable systems that can autonomously adapt to changing environments.
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