Locational equilibrium of two facilities on a tree

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1. 1. D. R. CAPOZZA and R. VAN ORDER, Spatial Competition with Consistent Conjectures, Journal of Regional Science, 1989, 29, pp. 1-13. 
2. 2. C. D'ASPREMONT, J. J. GABSZEWICZ and J.-F. THISSE, On Hotelling's Stability in Competition, Econometrica, 1979, 47, pp. 1145-1150. Zbl0411.90013MR545954
3. 3. B. C. EATON and R. G. LIPSEY, The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition, Review of Economic Studies, 1975, 42, pp. 27-49. Zbl0294.90003
4. 4. H. A. EISELT, A Hotelling Model with Differential Weights and Moving Costs, Working Paper 88-006, 1988, University of New Brunswick, Fredericton, Canada. Zbl0718.90019
5. 5. H. A. EISELT and G. LAPORTE, Competitive Spatial Models, European Journal of Operational Research, 1989, 39, pp. 231-242. Zbl0661.90009MR995927
6. 6. H. A. EISELT and G. LAPORTE, The Maximum Capture Problem in a Weighted Graph, Journal of Regional Science, 1989, 29, pp. 433-439. 
7. 7. H. A. EISELT and G. LAPORTE, The Existence of Equilibria in the 3-Facility Hotelling Model in a Tree, Transportation Science, 1991, 25, (forthcoming). Zbl0779.90054
8. 8. H. A. EISELT, G. LAPORTE and J.-F. THISSE, Competitive Location Models: A Framework and Bibliography, Transportation Science, 1991, 25, (forthcoming). Zbl0767.90006
9. 9. M. FUJITA and J.-F. THISSE, Spatial Competition with Land Market: Hotelling and von Thunen Unified, Review of Economic Studies, 1986, 53, pp. 819-841. Zbl0614.90016
10. 10. J. J. GABSZEWICZ and J.-F. THISSE, Spatial competition and Location of Firms, Fundamentals of Pure and Applied Economics, 1986, 5, pp. 1-71. 
11. 11. A. GHOSH and B. BUCHANAN, Multiple Outlets in a Duopoly: A First Entry Paradox, Geographical Analysis, 1988, 20, pp. 111-121. 
12. 12. A. J. GOLDMAN and C. J. WITZGALL, A Localization Theorem for Optimal Facility Placement, Transportation Science, 1970, 4, pp. 406-409. MR269285
13. 13. H. HOTELLING, Stability in Competition, Economic Journal, 1929, 39, pp. 41-57. JFM54.0575.04
14. 14. D. L. HUFF, Defming and Estimating a Trading Area, Journal of Marketing, 1964, 28, pp. 34-38. 
15. 15. D. L. HUFF and G. F. JENKS, Graphic Interpretation of the Friction of Distance in Gravity Models, Annals of the Association of American Geographers, 1968, 58, pp. 814-824. 
16. 16. A. P. HURTER and P. J. LEDERER, Spatial Duopoly with Discriminatory Pricing, Regional Science and Urban Economics, 1985, 15, pp. 541-553. 
17. 17. A. P. LERNER and H. W. SINGER, Some Notes on Duopoly and Spatial Competition, The Journal of Political Economy, 1937, 45, pp. 145-186. 
18. 18. A. OKABE and A. SUZUKI, Stability of Spatial Competition for a Large Number of Firms on a Bounded Two-Dimensional Space, Environment and Planning A, 1987, 19, pp. 1067-1082. 
19. 19. M. J. OSBORNE and C. PITCHICK, The Nature of Equilibrium in a Location Model, International Economic Review, 1986, 27, pp. 223-237. Zbl0587.90018MR829092
20. 20. M. J. OSBORNE and C. PITCHICK, Equilibrium in Hotelling's Model of Spatial Competition, Econometrica, 1987, 55, pp. 911-922. Zbl0627.90017
21. 21. G. OWEN, Game Theory, 2nd edition, 1982, Academic Press, New York. Zbl0544.90103MR697721
22. 22. E. C. PRESCOTT and M. VISSCHER, Sequential Location Among Firms with Foresight, Bell Journal of Economics, 1977, 8, pp. 378-393. 
23. 23. W. J. REILLY, The Law of Retail Gravitation, 1931, Knickerbocker Press, New York. 
24. 24. C. REVELLE, The Maximum Capture or "Sphere of Influence" Location Problems: Hotelling Revisited on a Network, Journal of Regional Science, 1986, 26, pp. 343-358. 
25. 25. A. SMITHIES, Optimum Location in Spatial Competition, The Journal of Political Economy, 1941, 49, pp. 423-439. 

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