First results on applying a non-linear effect formalism to alliances between political parties and buy and sell dynamics

Fabio Bagarello, Bagarello, Haven

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We discuss a non linear extension of a model of alliances in politics, recently proposed by one of us. The model is constructed in terms of operators, describing the interest of three parties to form, or not, some political alliance with the other parties. The time evolution of what we call the decision functions is deduced by introducing a suitable Hamiltonian, which describes the main effects of the interactions of the parties amongst themselves and with their environments, which are generated by their electors and by people who still have no clear idea for which party to vote (or even if to vote). The Hamiltonian contains some non-linear effects, which takes into account the role of a party in the decision process of the other two parties. Moreover, we show how the same Hamiltonian can also be used to construct a formal structure which can describe the dynamics of buying and selling financial assets (without however implying a specific price setting mechanism).
Original languageEnglish
Pages (from-to)403-414
Number of pages12
JournalPHYSICA. A
Volume444
Publication statusPublished - 2016

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Nonlinear Effects
Vote
formalism
politics
Linear Extension
Main Effect
operators
interactions
Operator
Interaction
Model

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

First results on applying a non-linear effect formalism to alliances between political parties and buy and sell dynamics. / Bagarello, Fabio; Bagarello; Haven.

In: PHYSICA. A, Vol. 444, 2016, p. 403-414.

Research output: Contribution to journalArticle

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