The Time Path of the Economy as the Population Moves Towards a Stationary State

Author(s):  
Frank T. Denton ◽  
Byron G. Spencer
Keyword(s):  
Author(s):  
Martin Shubik ◽  
Eric Smith

In the previous chapters we have provided proofs of principle for representing institutions as the carriers of process , using strategic market game models highly related in form to those of general equilibrium, but with extra constraints imposed by the institutions sufficient to carry process. Nevertheless, except in Chapter 6 we have avoided explicit treatment of dynamics. Structure may limit, but does not fully specify enough to identify equations without further consideration of intent and behavior. In this chapter we turn explicitly to the problem of constraining dynamics. We begin by considering in varying degrees of brevity the modeling of a few special structures, chosen to meet the criteria that they supply a time path out of equilibrium to a stationary state as well as the proof of existence of a stationary state or growth path. In economics the unifying power of general equilibrium analysis comes from the fact that it is not a model, but rather a collection of principles for building models. This extends to our strategic models in this work.


2001 ◽  
Vol 16 (08) ◽  
pp. 531-540 ◽  
Author(s):  
K. OKANO

Within the closed-time-path formalism of nonequilibrium QCD, we derive a Slavnov–Taylor (ST) identity for the gluon polarization tensor. The ST identity takes the same form in both Coulomb and covariant gauges. Application to quasi-uniform quark–gluon plasma (QGP) near equilibrium or nonequilibrium quasistationary QGP is made.


Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1134
Author(s):  
Kenta Higuchi ◽  
Takashi Komatsu ◽  
Norio Konno ◽  
Hisashi Morioka ◽  
Etsuo Segawa

We consider the discrete-time quantum walk whose local dynamics is denoted by a common unitary matrix C at the perturbed region {0,1,⋯,M−1} and free at the other positions. We obtain the stationary state with a bounded initial state. The initial state is set so that the perturbed region receives the inflow ωn at time n(|ω|=1). From this expression, we compute the scattering on the surface of −1 and M and also compute the quantity how quantum walker accumulates in the perturbed region; namely, the energy of the quantum walk, in the long time limit. The frequency of the initial state of the influence to the energy is symmetric on the unit circle in the complex plain. We find a discontinuity of the energy with respect to the frequency of the inflow.


2020 ◽  
Vol 53 (2) ◽  
pp. 15602-15607
Author(s):  
Jeevan Raajan ◽  
P V Srihari ◽  
Jayadev P Satya ◽  
B Bhikkaji ◽  
Ramkrishna Pasumarthy

1985 ◽  
Vol 38 (5-6) ◽  
pp. 1051-1070 ◽  
Author(s):  
R. Artuso ◽  
V. Benza ◽  
A. Frigerio ◽  
V. Gorini ◽  
E. Montaldi

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