The East End, the West End, and King's Cross: On Clustering in the Four-Player Hotelling Game Steffen Huck, Royal Holloway, University of London Wieland Müller, Humboldt University Berlin Nicolaas J. Vriend, Queen Mary, University of London Economic Inquiry, 2002, Vol. 40, No. 2, p. 231-240 Full paper (PDF format) Abstract.
We study experimentally a standard four-player Hotelling game, with a
uniform density of consumers and inelastic demand. The pure strategy Nash
equilibrium configuration consists of two firms located at one quarter of
the ``linear city'', and the other two at three quarters. We do not
observe convergence to such an equilibrium. In our experimental data we
find three clusters. Besides the direct proximity of the two equilibrium
locations this concerns the focal mid-point. Moreover, we observe that
whereas this mid-point appears to become more notable over time, other
focal points fade away. We explain how these observations are related to
best-response dynamics, and to the fact that the players rely on
best-responses in particular when they are close to the equilibrium
configuration.
Nick Vriend, n.vriend@qmul.ac.uk Last modified 2012-12-07 |