Stability of Nash equilibria in locational games
RAIRO - Operations Research - Recherche Opérationnelle, Volume 29 (1995) no. 1, pp. 19-33.
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     author = {Bhadury, J. and Eiselt, H. A.},
     title = {Stability of {Nash} equilibria in locational games},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {19--33},
     publisher = {EDP-Sciences},
     volume = {29},
     number = {1},
     year = {1995},
     mrnumber = {1321538},
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     language = {en},
     url = {http://archive.numdam.org/item/RO_1995__29_1_19_0/}
}
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Bhadury, J.; Eiselt, H. A. Stability of Nash equilibria in locational games. RAIRO - Operations Research - Recherche Opérationnelle, Volume 29 (1995) no. 1, pp. 19-33. http://archive.numdam.org/item/RO_1995__29_1_19_0/

C. D'Aspremont, J. J. Gabszewicz and J.-F. Thisse, On Hotelling's Stability in Competition, Econometrica, 1979, 47, pp. 1045-1050. | MR | Zbl

B. C. Eaton and R. G. Lipsey, The Principle of Minimum Differentiation Reconsidered: Some New Developments in theTheory of Spatial Competition Review of Economic Studies, 1975, 42, pp.27-49. | Zbl

H. A. Eiselt, A Hotelling Model with Differential Weights and Moving Costs, Belgian Journal of Operations Research, Statististics and Computer Sciences, 1990, 30, pp. 4-20. | Zbl

H. A. Eiselt, Hotelling's Duopoly on a Tree, Annals of Operations Research, 1992, 40, pp. 195-207. | MR | Zbl

H. A. Eiselt and J. Bhadury, Reachability of Locational Nash Equilibria, working paper # 93-023, Faeulty of Administration, University of New Brunswick, Fredericton, NB, Canada, 1993. | Zbl

H. A. Eiselt and G. Laporte, Location Equilibrium of Two Facilities on a Tree, Recherche opérationnelle/Opérations Research, 1991, 25, pp.5-18. | EuDML | Numdam | MR | Zbl

T. L. Friesz, T. Miller and R. L. Tobin, Competitive Network Facility Location Models: a Survey, Papers of the Régional Science Association, 1988, 65, pp.47-57.

J. J. Gabszewicz and J.-F. Thisse, Spatial Competition and the Location of Firms, Foundations of Pure and Applied Economics, 1986, 5, pp. 1-71. | Zbl

D. Graitson, Spatial Competition à la Hotelling: a Selective Survey, Journal of lndustrial Economics, 1982, 31, pp.13-25.

M. L. Greenhut, G. Norman and C. H. Hung, The Economics of Imperfect Competition: a Spatial Approach, Cambridge University Press, Cambridge, England, 1987. | MR

S. L. Hakimi, Location with Spatial Interaction: Competitive Location and Games, in Francis R. L. Mirchandani P. P. (eds,), Discrete Location Theory, J. Wiley & Sons, New York, NY, 1990. | MR | Zbl

H. Hotelling, Stability in Competition, Economic Journal, 1929, 39, pp.41-57. | JFM

E. Kohlberg and J.-F. Mertens, On the Strategic Stability of Equilibria, Econometrica, 1986, 54, pp. 1003-1037. | MR | Zbl

G. H. Kramer, A dynamical Model of Political Equilibrium, Journal of Economic Theory, 1977, 16, pp.310-334. | MR | Zbl

M. Labbé, D. Peeters and J.-F. Thisse, Location on Networks, Discussion paper No. TI 93-134, Tinbergen Institute, Amsterdam-Rotterdam, The Netherlands, 1993. | MR | Zbl

N. J. Schofield, Instability of Simple Dynamic Games, Review of Economic Studies, 1978, 45, pp.575-594. | MR | Zbl

C. A. Tovey, The Instability of Instability, Technical Report NPSOR-91-15, Department of Operations Research, Naval Postgraduate School, Monterey, CA, 1991.

C. A. Tovey, Dynamical Convergence of Majority Rules to ε-cores in Euclidean Spaces, Working paper, School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, 1993.

R. Wilson, Computing Simply Stable Equilibria, Econometrica, 1992, 60, pp. 1039-1070. | MR | Zbl