Has anyone ever thought to use mathematics to figure out whether they should be forming a party or a government? Professor Fabio Bagarello, an Italian mathematician, believes his model is capable of determining whether political particles need to form coalitions in a variety of situations. Fabio Bagarello is a professor of mathematics physics at Palermo University, Department of Mathematical Models. His paper was published in March by the SIAM Journal ofApplied Mathematics. (citation below). His dynamic approach to modeling political decision making takes into account interactions between constituents and parties. To decide whether to form coalitions, parties should apply mathematics. Professor Bagarello stated that mathematics is essential in many areas of social behavior. Because some aspects of politics are characterised by appropriate quantities that, often, change over time, math is only one example. “Political parties can be described as dynamical systems,” Prof. Bagarello says. He uses the Hamiltonian operator to describe interaction among many constituents in a system. This model takes into account three parties within a system. The model allows each party to choose whether they want to join a coalition, or stand alone. There are eight possible outcomes, which can over time change. This determines the likelihood of parties forming a new coalition. Interactions with voters: Model factors It contributes to the final decision. This is done via an open system that takes in voter interaction. Professor Bagarello stated that these types of dynamical systems can be described using differential equations, whose terms may describe different phenomena. My approach does not include a differential equation. Instead, I use a Hamiltonian Operator to deduce the dynamics of a relevant observable of the system. This allows us to show how voters influence the behavior of various actors. Bagarello also stated that several macroscopic systems were analyzed with such operatorial methods. The same framework has been used to describe ‘love affairs, migrations and closed ecological systems, as well as simplified stock market. Future research could help determine whether parties should forge alliances and with whom. Professor Bagarello stated that this is a part of an extended version of the model and was still in development. You could improve the model by adding nonlinearities to the interaction terms. They could be used to create a refined model where the behavior of the parties is significantly influenced by other party’s decisions. Citation: Fabio Bagarello, “An Operator view on Alliances in Polis,” Fabio Bagarello. SIAM J. Appl. Math. Online publication 19 February, 2015. DOI: 10. 1137/140990747.
Calculating whether political parties form a group
