Time and Money: How Long and How Much Money is Needed to Regulate a Viable Economy (Lecture Notes in Economics and Mathematical Systems)
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This book presents an unconventional approach to an important topic in economic theory. It applies the theory of viability to analyze how an economy should be dynamically endowed so that it is economically viable.
an inverse approach for providing mathematical metaphors: 11 [Inverse Approach] A set of prescribed properties of evolutions being given, study the (possibly empty) subsets of initial states from which 1. starts at least one evolution governed by the evolutionary system satisfying the prescribed properties, subset providing a qualitative evaluation of viable “contingent uncertainty”; 2. all evolutions starting from it satisfy these prescribed properties, subset providing a qualitative evaluation
transactions of the agents with the other one, in a consistent way for the benefit of the agents, not necessarily for the “Market.” Therefore, for providing agents viable commodities, which could be a reasonable objective, we need to study what a viable endowment of credit policy could be, allowed to violate the sanctified static Walras law during some adequate temporal windows if needed, viability oblige. In an evolutionary framework of economic variables made of transactions of commodities and
respectively equal to y.t/ D y C lt and y.t/ D ye mt : in this case, they reach the upper scarcity c y threshold c (when l > 0, m > 0 and y < c) at “exit times” T D and l log.c=y/ respectively after which they cease to be viable. T D m Therefore, the inertia principle requires that these simple and compounded interest rates have to be changed before reaching these exit times. Definition 4.1.1. [Heavy Evolutions of Endowments] Heavy evolutions of endowments are those governed by interest rates
parameters (time, age, place, economic state, heath, etc.), a new way for defining social “classes.” These tasks are delegated to younger generations of mathematicians and economists to really collaborate by questioning the pages of this (and other) books, since human brains never cease to understand. Contents 1 The Underlying Thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.1 Investment Duration and Monetary Endowment . .. .
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