The Political Replacement Effect in a Kinetic Model of Social Dynamics with Phase Transition

Abstract

The political replacement effect is an interesting socio-political hypothesis introduced by Acemoglu and Robinson and statistically tested. It may determine, under some conditions, the phenomenon of innovation blocking, possibly leading to economic backwardness in a society. In a previous paper, we have introduced a kinetic model with stochastic evolutive game-type interactions, analyzing the relationship between the level of political competition in a society and the degree of economic liberalization. In the present paper we model we model the possibility of having a sort of phase transition occurring in the system when the phenomenon of blocking of the introduction of technological innovation, intended in a broad sense, appears. Crossing a critical point, the rules of interactions change by means of slightly different transition probabilities nevertheless determining very significant differences in the resulting long-term solutions.

Modeling human behavior in economics and social science

“…Moreover, when the nonlinearity enters the picture, the proportionality between cause and effect is at question, so that small changes may produce large outcomes: the phenomenon also called the Black Swan event [38]. Also, phase transitions may be obtained as self-organization phenomena of nonlinearly interacting agents [77].…”

Preface to the Special Issue Mathematical modelling for complex systems: multi-agents methods

“…In the fourth paper, [7], The political replacement effect in a kinetic model of social dynamics with phase transition by Marina Dolfin, the author proposes a kinetic model, with stochastic game type interactions, representing a simple society with three interacting group of interests, each of them characterized by two political-economic determinants. The main aim is to translate into the mathematical framework of the kinetic theory applied to social dynamics a model of the game-theoretic literature on macroeconomic policy.…”