Stability of Spatial Competition for a Large Number of Firms on a Bounded Two-Dimensional Space
Bibliographic Data
| ID | 4142953 |
|---|---|
| Authors | Atsuyuki Okabe (0000-0003-4663-8053, The University of Tokyo), Atsuo Suzuki (0000-0002-7194-3183, Nanzan University) |
| Year | 1987 |
| Volume | 19 |
| Issue | 8 |
| Pages | 1067-1082 |
| Publication date | 1987-08-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Environment and Planning A Economy and Space (JOURNAL) |
| Journal identifiers | ISSN: 0308-518X • E-ISSN: 1472-3409 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1068/a191067 |
| OpenAlex | W2073023793 |
| Language | EN |
| Citations received | 6 |
| References cited | 32 |
In this paper Hotelling's model of spatial competition is extended to a two-dimensional space, and it is shown that if the number of firms is very large, the configuration of the firms is stable in the inner area of a square region; this configuration is fairly similar to a socially optimal configuration. These results are almost contrary to Eaton and Lipsey's conjecture, and they are in marked contrast to the results of the one-dimensional model
Bounded function · Combinatorics · Conjecture · Geometry · Mathematical analysis · Spatial configuration · Two-dimensional space · Business Strategy and Innovation · Computer Science · Consumer Market Behavior and Pricing · Mathematics · Merger and Competition Analysis
Why are convenience stores clustered? The reasons behind the clustering of similar shops and the effect of increased competition
Price competition and node-linkage association
Harold Hotelling and the principle of minimum differentiation
Existence of equilibrium configurations of competitive firms on an infinite two-dimensional space
On the profitability of collusion in location games
Price Patterns in Competitively Clustered Markets
| Unique citing works | 6 |
|---|---|
| Citations per year | 0,16 |
| Citation span | 1989 - 2022 (34) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 6 |