A Blue Sky Bifurcation in the Dynamics of Political Candidates

Political candidates often shift their positions opportunistically in hopes of capturing more votes. When there are only two candidates, the best strategy for each of them is often to move toward the other. This eventually results in two centrists with coalescing views. However, the strategy of movi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The American mathematical monthly 2024-03, Vol.131 (3), p.225-238
Hauptverfasser: Börgers, Christoph, Boghosian, Bruce, Dragovic, Natasa, Haensch, Anna
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Political candidates often shift their positions opportunistically in hopes of capturing more votes. When there are only two candidates, the best strategy for each of them is often to move toward the other. This eventually results in two centrists with coalescing views. However, the strategy of moving toward the other candidate is no longer optimal when enough voters abstain instead of voting for a centrist who does not represent their views. These observations, formalized in various ways, have been made many times. Our own formalization is based on differential equations. The surprise and main result derived from these equations is that the final candidate positions can jump discontinuously as the voters' loyalty toward their candidate wanes. The underlying mathematical mechanism is a blue sky bifurcation.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2023.2286221