Political Dynamics Affected by Turncoats

Abstract

An operatorial theoretical model based on raising and lowering fermionic operators for the description of the dynamics of a political system consisting of macro-groups affected by turncoat-like behaviors is presented. The analysis of the party system dynamics is carried on by combining the action of a suitable quadratic Hamiltonian operator with specific rules (depending on the variations of the mean values of the observables) able to adjust periodically the conservative model to the political environment.

An operatorial model for complex political system dynamics

“…In particular, we are currently studying a coupled model of political parties of both houses of the Italian Parliament, as well as a coupled model suitable to describe the influence of the opportunistic attitudes on voters' opinion. Some preliminary results concerning these analyses are contained in .…”

One-directional quantum mechanical dynamics and an application to decision making

“…A completely different approach, still producing some equilibrium for large time, was introduced in [20] and then analyzed in a series of papers, [21,22,23]. In this case, the system S is again described by a self-adjoint Hamiltonian H, but S does not interact with any reservoir.…”

Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria

“…In particular, during the evolution of the system, driven by a time independent Hermitian Hamiltonian H, at fixed times some checks on the system are performed, and these periodical measures on the system are used to change the state of the system itself according to an explicit prescription. A slightly different viewpoint has been proposed in [21,27,28,29], where the periodical checks on the state of the system are used to change the values of some of the parameters entering the Hamiltonian operator, without modifying the functional form of the Hamiltonian itself. This approach proved to be quite efficient in operatorial models of stressed bacterial populations [21], as well as in models of political systems affected by turncoat-like behaviors of part of their members, i.e.…”

“…The strategy of the (H, ρ)-induced dynamics may give interesting results if the rule ρ is not introduced as a mere mathematical trick, but is somehow physically justified. For instance, in [21], the rule accounts for the modifications in the metabolic activity of bacteria due to lack of nutrients and/or to the presence of waste material, whereas, in [27,28,29], the rule modifies the behavior of the members of a political party with regard to their tendency to shift allegiance from one loyalty or ideal to another one.…”

“…Since 2006 [1], raising and lowering operators typical of quantum mechanics [2,3,4] have been successfully used for the mathematical modeling of several kinds of macroscopic systems. Theoretical aspects related to methods and tools in the operatorial framework, together with many applications, are discussed in [5,6]; moreover, many recent contributions in the area of quantumlike modeling outside physics, using the quantum formalism, and in particular the number representation, witness the flexibility of this general approach, which has proven effective in describing the dynamics in very different contexts, from social life and decision-making processes [7,8,9,10,11,12,13] to population migration and crowd dynamics [14,15,16,17], but even ecological processes [18,19,20,21] or political systems [22,23,24,25,26,27,28,29].…”