An operatorial model for complex political system dynamics

Abstract

Communicated by P. M. MarianoThis paper presents an operatorial model based on fermionic operators for the description of the dynamics of political parties affected by turncoat-like behaviors. By observing the political landscape in place in Italy over the last years, appropriate macro-groups have been identified on the basis of the behavior of politicians in terms of disloyal attitude as well as openness towards accepting chameleons from other parties. Once introduced, a time-dependent number-like operator for each physical observable relevant for the description of the political environment, the analysis of the party system dynamics is carried out by combining the action of a quadratic Hamiltonian operator with certain rules acting periodically on the system in such a way that the parameters entering the model are repeatedly changed so as to express a sort of dependence of them upon the variations of the mean values of the observables.

Non-Hermitian Operator Modelling of Basic Cancer Cell Dynamics

“…In the past few years several macroscopic dynamical systems have been discussed using quantum tools. This approach has been considered by many authors and the range of its applications is wide, and has been successfully applied to various fields of sociology and decision making processes [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 ], biology [ 14 , 15 ], ecology [ 16 , 17 , 18 ] economics [ 19 , 20 , 21 ], population and crowd dynamics [ 22 , 23 , 24 , 25 , 26 ], etc. More applications of quantum ideas outside a standard quantum realm can be found, for instance, in the monographs [ 27 , 28 , 29 , 30 , 31 , 32 ], and in many of the references cited there.…”

Political Dynamics Affected by Turncoats

“…3) is at most quasiperiodic. More interesting behaviors can be obtained by means of the so called (H, ρ)-induced dynamics [17,22,24,25]. By considering a self-adjoint quadratic Hamiltonian operator H (1) ≡ H, and the evolution of a certain observable X, X(t) = exp(iH (1) t)X exp(−iH (1) t), (2.9)…”

“…The numerical simulations in Figures 2 and 3 have been produced by choosing the same initial values for the parameters, say respectively. In the last case, since the initial densities do not sum up to 1, the densities of the various compartments plotted in Figure 3 are normalized. A model belonging to the general one considered in Section 2 has been investigated in [22], where, by suitably identifying the groups in both houses of the Italian Parliament of the XVII Legislature, a satisfactory fit with the real data of changes of side has been obtained. For that case study, the definition of the rule was somehow phenomenological, in the sense that it was strongly related to the dynamics observed inside the Italian political system during the period under study.…”

(CMMSE paper) A finite‐difference model for indoctrination dynamics

“…Recently, a great interest has arisen in the study of social phenomena using the models and tools from complex systems science, statistical physics, and quantum field theory . Among these social phenomena, the opinion dynamics has become an important field by itself .…”

“…4 Recently, a great interest has arisen in the study of social phenomena using the models and tools from complex systems science, statistical physics, and quantum field theory. [5][6][7][8] Among these social phenomena, the opinion dynamics has become an important field by itself. 9,10 Opinions can be interpreted as assessments made by the agents about prices, levels of preference (or agreement) with political parties, or controversial topics.…”