On hotelling's "Stability in competition"

@article{dAspremont1979OnH,
  title={On hotelling's "Stability in competition"},
  author={Claude d'Aspremont and Jean J. Gabszewicz and Jacques-François Thisse},
  journal={Econometrica},
  year={1979},
  volume={47},
  pages={1145-1150}
}
The purpose of this note is to show that the so-called Principle of Minimum Differentiation, as based on Hotelling’s 1929 paper “Stability in Competition” is invalid. The purpose of this note is to show that the so-called Principle of Minimum Differentiation, as based on Hotelling’s 1929 celebrated paper (Hotelling [3]), is invalid. Firstly, we assert that, contrary to the statement formulated by Hotelling in his model, nothing can be said about the tendency of both sellers to agglomerate at… 
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References

SHOWING 1-5 OF 5 REFERENCES
Stability in Competition
After the work of the late Professor F. Y. Edgeworth one may doubt that anything further can be said on the theory of competition among a small number of entrepreneurs. However, one important feature
Sequential Entry and Entry-Deterring Strategies in Spatial Competition
TLDR
A new approach to the analysis of location and spatial competition is proposed to take account of the fact that location of plants is usually a sequential process taking place over time and that most plants involve capital goods, which once located cannot be easily transported to new locations in subsequent competitive moves.
Sequential location among firms with foresight
Existing theory poorly describes the product diversity in a modern market economy largely because such theory is founded on an inadequate concept of equilibrium. Standard analysis regards decision