  Behavior of systems that are functions of anticipated behavior of other
systems, whose own behavior is also anticipatory but homeostatic and determined
by hierarchical ordering, which changes over time, of sets of possible
environments that are not co-possible, is proven to be highly non-linear and
sensitively dependent on precise parameters. Averages and other kinds of
aggregates cannot be calculated for sets of measurements of behavior of
systems, defined in this essay, that are "index complex" in this way. This
includes many systems, for instance, social behavior, where anticipation of
behavior of other individuals plays a central role. Anticipation of preferences
of economic actors are discussed in this way. Analysis by way of generalized
functions of complex variables is done for these kinds of systems, and
equations of change of state are formally described. Behavior that comprises of
responses to market interest rates is taken for example. Continuity assumptions
in economics analyzed in this context. Anticipatory responses to inflation in
economics are discussed. Applications to theory of production are presented.
