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The East End, the West End, and King's Cross: On Clustering in the Four-Player Hotelling Game

  • Steffen Huck

    (Royal Holloway College, University of London)

  • Wieland M�ller

    (Humboldt University Berlin)

  • Nicolaas J. Vriend


    (Queen Mary and Westfield College, University of London)

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.

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Paper provided by Queen Mary University of London, School of Economics and Finance in its series Working Papers with number 409.

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Date of creation: Feb 2000
Date of revision:
Handle: RePEc:qmw:qmwecw:wp409
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  1. Collins, Richard & Sherstyuk, Katerina, 2000. "Spatial Competition with Three Firms: An Experimental Study," Economic Inquiry, Western Economic Association International, vol. 38(1), pages 73-94, January.
  2. Brown Kruse, Jamie & Schenk, David J., 2000. "Location, cooperation and communication: An experimental examination," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 59-80, January.
  3. Osborne, Martin J & Pitchik, Carolyn, 1986. "The Nature of Equilibrium in a Location Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 223-37, February.
  4. Shaked, A, 1982. "Existence and Computation of Mixed Strategy Nash Equilibrium for 3-Firms Location Problem," Journal of Industrial Economics, Wiley Blackwell, vol. 31(1-2), pages 93-96, September.
  5. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 1-26, January.
  6. B.Curtis Eaton & Richard G. Lipsey, 1972. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," Working Papers 87, Queen's University, Department of Economics.
  7. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 27-41, January.
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