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By Yuji Aruka (auth.), Yuji Aruka (eds.)

As the true global is quickly turning into a growing number of advanced, economists have to enterprise past the limits of mainstream economics and combine philosophical suggestion and complexity into their analytical frameworks. during this context, this quantity brings jointly papers on financial idea and its similar matters, exploring complicated creation platforms and heterogeneously interacting human habit. the writer demanding situations economists to combine monetary thought and ethical technological know-how anew by way of relating evolutionary economics and socio-econophysics. the 3 components of the e-book specialize in the complexities of creation and social interplay, the ethical technological know-how of heterogeneous fiscal interplay, and the Avatamsaka’s challenge of the two-person online game with in simple terms optimistic spillovers.

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Without the use of general coordinates, we could not decompose into a supposedly separate single operation as if it were a production function. Hence we must look for a surrogate idea of entropy in our economic modeling. This may be one of our most important tasks. 23 Strictly speaking, inputs for production consist of {A, l}. Ex post the degree of complexity will differ for each path. 24 20 Y. Aruka Fig. 10 An image of the second law on the choice of techniques Finally, we refer to the second law in the entropy production function according to Mimkes (2010).

2, the solution of a difference equation system depends on its eigenvalues. 9) Here u0 is the initial condition. We may regard A þ eF as a perturbed input matrix, p as a price vector and the rate of profit as 0. We again specify A þ eF in our numerical example. 10) 2 Generalized Goodwin’s Theorems on General Coordinates 49 where 2 1 1 pffiffi pffiffi 6 e À e HðeÞ ¼ 4 pffiffi pffiffi e=ð e À 1Þ Àe=ð e þ 1Þ 3 2 pffiffi t 0 ð eÞ 7 6 t 0 5; ½mi diag Š ¼ 4 0 1 0 pffiffi t ðÀ eÞ 0 0 3 0 7 0 5: 1 For e ¼ 0, the repeated eigenvalues 0 appear.

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