Reachability of locational Nash equilibria

OR Spectrum

Volumn 20, Issue 2, 1998, Pages 101-107

  Eiselt, H A ^a   Bhadury, J ^a  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Competitive location model; Nash equilibria; Reachability; Stability

Indexed keywords

EID: 85047670880     PISSN: 01716468     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01539861     Document Type: Article

References (17)

1. Anderson S (1987) Spatial competition and price leadership. International Journal of Industrial Organization 5:369-398
2. Bauer A, Domschke W, Pesch E (1993) Competitive location on a network. European Journal of Operational Research 66:372-391
3. Eiselt HA (1992) Hotelling's duopoly on a tree. Annals of Operations Research 40:195-207
4. Eiselt HA, Laporte G (1991) Locational equilibrium of two facilities on a tree. Operations Research/Recherche opérationnelle 25:5-18
5. Eiselt HA, Laporte G, Thisse J-F (1993) Competitive location models: a framework and bibliography. Transportation Science 27:44-54
6. Friesz TL, Miller TC, Tobin RL (1988) Competitive network location models: a survey. Papers of the Regional Science Association 65:47-57
7. Goldman AJ (1971) Optimal center location in simple networks. Transportation Science 5:212-221
8. Hakimi SL (1983) On locating new facilities in a competitive environment. European Journal of Operational Research 12:29-35
9. Hakimi SL (1990) Locations with spatial interactions: competitive locations and games. In: Mirchandani PB, Francis RL (eds) Discrete location theory. Wiley Interscience, New York, pp 439-478
10. Hotelling H (1929) Stability in competition. Economic Journal 39:41-57
11. Katz IN, Cooper L (1981) Facility location in the presence of forbidden regions. 1. Formulation and the case of Euclidean distances with one forbidden circle. European Journal of Operational Research 6:166-173
12. Labbé M, Hakimi SL (1991) Market and locational equilibrium for two competitors. Operations Research 39:749-756
13. ReVelle C (1986) The maximum capture or 'sphere of influence' location problem: Hotelling revisited on a network. Journal of Regional Science 26:343-358
14. Stackelberg H von (1943) Grundlagen der theoretischen Volkswirtschaftslehre. Translated by: Peacock AT, The Theory of the Market Economy (1952). Hodge, London Edinburgh Glasgow
15. Tirole J (1995) The theory of industrial organization. The MIT Press, Cambridge, MA
16. Tovey CA (1993) Dynamical convergence of majority rules to ε-cores in Euclidean spaces. Working paper, School of Industrial and Systems Engineering, Georgia Tech, Atlanta, GA
17. Wendell RE, McKelvey RD (1981) New perspectives in competitive location theory. European Journal of Operational Research 6:174-182