Sequential location problems

European Journal of Operational Research

Volumn 96, Issue 2, 1997, Pages 217-231

  Eiselt, H A ^a   Laporte, Gilbert ^b  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

^b CRT   (Canada)

Author keywords

Competitive location; Sequential location

Indexed keywords

CONCURRENCY CONTROL; FACILITIES; LOCATION; MARKETING; SENSITIVITY ANALYSIS;

COMPETITIVE LOCATION; SEQUENTIAL LOCATION;

SEQUENTIAL CIRCUITS;

EID: 0030871576     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00216-0     Document Type: Article

References (55)

1. Anderson, S. (1987), "Spatial competition and price leadership", International Journal of Industrial Organization 5, 369-398.
2. Bard, J. (1993), "An algorithm for the general bilevel programming problem", Mathematics of Operations Research 8, 260-262.
3. Bauer, A., Domschke, W., and Pesch, E. (1993), "Competitive location on a network", European Journal of Operational Research 66, 372-391.
4. p)-medianoid and (r | p)-centroid problems", Location Science 1, 193-204.
5. Bhadury, J. (1996), "Competitive location under uncertainty of costs", Journal of Regional Science, to appear.
6. Bhadury, J., Chandrasekaran, R., and Padmanabhan, V. (1994), "Competitive location and entry deterrence in Hotelling's duopoly model", Location Science 2, 259-275.
7. Boyer, M., Laffont, J.-J., Mahenc, P., and Moreaux, M. (1994), "Location distortions under incomplete information", Regional Science and Urban Economics 24, 409-440.
8. Brandeau, M.L., and Chiu, S.S. (1991), "Location of competing facilities in a user-optimizing environment with market externalities", Stanford University, CA.
9. Choi, S.C., DeSarbo, W.S., and Harker, P.T. (1990), "Product positioning under price competition", Management Science 36, 175-199.
10. D'Aspremont, C., Gabszewicz, J.J., and Thisse, J.-F. (1979), "On Hotelling's 'Stability in Competition'", Econometrica 47, 1145-1150.
11. Dewatripont, M. (1987) "The role of indifference in sequential models of spatial competition", Economics Letters 23, 323-328.
12. Dobson, G., and Karmarkar, U.S. (1987), "Competitive location on a network", Operations Research 35, 565-574.
13. Drezner, Z. (1981), "On a modified one-center model", Management Science 27, 848-851.
14. Drezner, Z. (1982), "Competitive location strategies for two facilities", Regional Science and Economics 12, 485-493.
15. Eiselt, H.A. (1993), "Competition in locational models", Studies in Locational Analysis 5, 129-147.
16. Eiselt, H.A. (1989), "Modeling business problems with Voronoi diagrams", Canadian Journal of Administrative Sciences 6, 43-53.
17. Eiselt, H.A., and Bhadury, J. (1996), "Reachability of locational Nash equilibria", Working Paper, Faculty of Administration, University of New Brunswick, Fredericton, NB.
18. Eiselt, H.A., and Laporte, G. (1991), "Locational equilibrium of two facilities on a tree", RAIRO 25, 5-18.
19. Eiselt, H.A., and Laporte, G. (1995), "Objectives in location problems", in: Z. Drezner (ed.), Facility Location: A Survey of Applications and Methods, Springer-Verlag, New York, 151-180.
20. Eiselt, H.A., and Laporte, G. (1996), "Equilibrium results in competitive location models", Middle East Forum 1, 63-92.
21. Eiselt, H.A., Laporte, G., and Thisse, J.-F. (1993), "Competitive location models: A Framework and Bibliography", Transportation Science 27, 44-54.
22. Friesz, T.L., Miller, T., and Tobin, R.L. (1988), "Competitive network facility location models: A Survey", Papers of the Regional Science Association 65, 47-57.
23. Gabszewicz, J.J., and Thisse, J.-F. (1986), "Spatial competition and the location of firms", Fundamentals of Pure and Applied Economics 5, 1-71.
24. Ghosh, A., and Buchanan, B. (1988), "Multiple outlets in a duopoly: A first entry paradox", Geographical Analysis 20, 111-121.
25. Ghosh, A., and Craig, C.S. (1984), "A location-allocation model for facility planning in a competitive environment", Geographical Analysis 16, 39-51.
26. Hakimi, S.L. (1983), "On locating new facilities in a competitive environment", European Journal of Operational Research 12, 29-35.
27. Hakimi, S.L. (1990), "Locations with spatial interactions: Competitive locations and games", in: P.B. Mirchandani and R.L. Francis (eds.), Discrete Location Theory, Wiley-Interscience, New York, 439-478.
28. Hannesson, R. (1982), "Defensive foresight rather than minimax: A comment on Eaton and Lipsey's model of spatial competition", Review of Economic Studies 49, 653-657.
29. Hansen, P., and Labbé, M. (1988), "Algorithms for voting and competitive location on a network", Transportation Science 22, 278-288.
30. Hansen, P., Thisse, J.-F., and Wendell, R.W. (1986), "Equivalence of solutions to network location problems", Mathematics of Operations Research 11, 672-678.
31. Hotelling, H. (1929), "Stability in Competition", Economic Journal 39, 41-57.
32. Labbé, M., Peeters, D., and Thisse, J.-F. (1995), "Location on networks", in: M.O. Ball, T.L. Magnanti, C.L. Monma and G.L. Nemhauser (eds.), Network Routing, Vol. 8 of Handbooks in Operations Research and Management Science, North-Holland, Amsterdam, 551-624.
33. Lane, W.J. (1980), "Product differentiation in a market with endogenous sequential entry", Bell Journal of Economics 33, 237-260.
34. Megiddo, N., Zemel, E., and Hakimi, S.L. (1983), "The maximum coverage location problem", SIAM Journal on Algebraic and Discrete Methods 4, 253-261.
35. Neven, D.J. (1987), "Endogenous sequential entry in a spatial model", International Journal of Industrial Organization 5, 419-434.
36. Niemi, R.G., and Weisberg, H.F. (eds.) (1976), Controversies in American Voting Behavior, Freeman, San Francisco, CA.
37. Okabe, A., and Suzuki, A. (1987), "Stability of spatial competition for a large number of firms on a bounded two-dimensional space", Environment and Planning A 19, 1067-1082.
38. Peeters, D., and Thisse, J.-F. (1995), "Economic models of firm location", in: Z. Drezner (ed.), Facility Location: A Survey of Applications and Methods, Springer-Verlag, New York, 331-366.
39. Penn, M., and Kariv, O. (1989), "Competitive location in trees: Parts I and II", Working Paper, Faculty of Commerce and Business Administration, University of British Columbia, Vancouver, BC.
40. Prescott, E.C., and Visscher, M. (1977), "Sequential location among firms with foresight", Bell Journal of Economics 8, 378-393.
41. ReVelle, C. (1986), "The maximum capture or 'Sphere of influence' location problem: Hotelling revisited on a network", Journal of Regional Science 26, 343-358.
42. ReVelle, C., and Serra, D. (1991), "The Maximum Capture Problem including relocation", INFOR 29, 130-138.
43. Rosenhead, J., and Powell, G. (1975), "The ice-cream man problem", Transportation Research 9, 117-121.
44. Rothschild, R. (1976), "A note on the effect of sequential entry on choice of location", Journal of Industrial Economics 24, 313-320.
45. Rothschild, R. (1979), "The effect of sequential entry on choice of location", European Economic Review 12, 227-241.
46. Serra, D., and ReVelle, C. (1994), "Market capture by two competitors: The preemptive location problem", Journal of Regional Science 34, 549-561.
47. Serra, D., and ReVelle, C. (1995), "Competitive location in discrete space", in: Z. Drezner (ed.), Facility Location: A Survey of Application and Methods, Springer-Verlag, New York, 367-386.
48. Shigehiro, S., Shiode, S., Hiroaki, I., and Teraoka, Y. (1995), "A competitive facility location problem", in: M. Fushimi and K. Tone (eds.) Proceeding of APORS '94, Singapore, 251-257.
49. Slater, P.J. (1975), "Maximim facility location", Journal of Research of the National Bureau of Standards: B. Mathematical Sciences 79, 107-115.
50. Smithies, A. (1941), "Optimum location in spatial competition", Journal of Political Economy 49, 423-439.
51. Stackelberg, H. von (1943), Grundlagen der theoretischen Volkswirtschaftslehre (translated as The Theory of the Market Economy), W. Hodge & Co. Ltd., London.
52. Stevens, B.H. (1961), "An application of game theory to a problem in location strategy", Papers of the Regional Science Association 7, 143-157.
53. Teitz, M.B. (1968), "Locational strategies for competitive systems", Journal of Regional Science 8, 135-148.
54. Weber, S. (1992), "On hierarchical spatial competition", Review of Economic Studies 59, 407-425.
55. Wendell, R.E., and McKelvey, R.D. (1981), "New perspectives in competitive location theory", European Journal of Operational Research 6, 174-182.