Chaos in two-party democracies

Colombo, A. & Rinaldi, S. (2008). Chaos in two-party democracies. International Journal of Bifurcation and Chaos 18 (7) 2133-2140. 10.1142/S0218127408021622.

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In two-party democracies (e.g. US and UK) the two parties often alternate at the government almost periodically. Here, we present a very simple continuous-time model with three state variables (social welfare and size of the lobbies associated with the two parties) that explains this tendency to cyclic behavior. However, the analysis of the model shows that when the lobbies are unbalanced, much more complex behaviors, including chaos, can emerge. The bifurcation structure of the system is interesting: it contains a countable number of codimension-2 points (associated with pseudo-equilibria of a particular Filippov system) which are the roots of Arnold tongues delimited by two border collision bifurcations, and in each one of these tongues the sequence of the parties at the government is a particular periodic sequence.

Item Type: Article
Uncontrolled Keywords: Arnold tongues; Border collision; Chaos; Democracy; Discontinuous systems; Parties
Research Programs: Evolution and Ecology (EEP)
Bibliographic Reference: International Journal of Bifurcation and Chaos; 18(7):2133-2140 (July 2008)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:41
Last Modified: 27 Aug 2021 17:38

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