The identification of regularities in time-dependent functional structures leads to turn patterns, observed according to a given time resolution, into functional attractors on which it is first possible to found any complex system. Rationality is introduced under the form of probabilities for functions to make up a given attractor beyond the first rough descriptive pattern. These physically characterized attractors are the medium enabling the definition of value as an extension of the Prospect Theory overall utility, considering that the actions produced (...) by their functions are outcomes which are modulated by PT psychological value functions and an operational value appears naturally as an optimization taking account of diminishing sensitivity to action efficiency. Nevertheless, this diminishing sensitivity, when applied to negative actions, introduces also a bias of negative externalities underestimation. An attractor-based complex system evolution in an industrial context is described according to Manufacturing Readiness Level and to the main milestones of an industrial project, corresponding to singular points of maturity expressed in terms of probability—or decision—weighting, up to the system release to the market. So, a maturity assessment heuristics is proposed both for the system development and for its marketing. The supply and demand law is established, highlighting that the ideal case of a purely mature economy can be a good approximation reducing the complexity of the exchanges analysis. Equilibria are discussed as depending on an initial point from which the usual Gaussian probability distribution and a speculative weight qualify equilibrium. (shrink)

Value analysis establishes a way to practice functional analysis which enables to think all matter as sets of functions. The study of the correlations between the phases of activation of these functions leads to consider the aggregation of correlated activation functions as an attractor in a configuration space. This point of view allows figuring out general behaviors reducing the conceptual gap between microeconomics and macroeconomics. Then, based on a characterization of complex adaptive systems in terms of functional attractors, the theory (...) links together value and physical magnitudes, like work or energy and action. The evolution of these systems is studied from the viewpoints of learning or of voluntary and involuntary interactions with others described in the ultimate way by the strategies, or operators, of which they make use. Three kinds of uncertainties are emphasized among which the uncertainty between the structure and the business outlook of a system is recreated through an analogy between physics and economics. The rationality of the complex functional systems economics is based on value and on market or environment awareness. Equilibria establish potential of agents or players whose profiles are built through the equivalence between a time-dependent payoff at equilibrium and the regular value of the corresponding attractor. The law of supply and demand is naturally founded on unbiased profiles of agents and can be a means of uncertainty reduction and of growth. Freedoms are opportunities to grow, when they result in confidence, and to bear risks in decision-making through an innovative process. (shrink)