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Erschienen in: The Annals of Regional Science 3/2013

01.06.2013 | Original Paper

Sequential entry and merger in spatial price discrimination

verfasst von: John S. Heywood, Guangliang Ye

Erschienen in: The Annals of Regional Science | Ausgabe 3/2013

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Abstract

This paper newly introduces sequential entry into previous models of spatial price discrimination that examine location choices made in anticipation of a potential merger. While merger with simultaneous entry routinely reduces social welfare, we show that mergers frequently improve welfare. The extent of welfare improving mergers varies inversely with the timing advantage of an excluded rival. When the rival locates alone in the first stage, the merger harms welfare. When the rival locates alone in the last stage, the merger improves welfare. These results hold true when allocating three firms across either two or three location stages. Thus, allowing staged entry dramatically alters and often reverses the conclusion previously drawn on the basis of simultaneous entry.

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Fußnoten
1
One further assumption is that the production is characterized by constant marginal cost as Gupta (1994) shows that when production is characterized by increasing marginal cost, firms will not locate efficiently. As a consequence, the welfare implications of merger in an otherwise equal case of increasing marginal production cost remain unclear and unexamined.
 
2
We note that Rothschild et al. (2007) consider a sequential entry model with spatial price discrimination in which firms merge prior to location choices (or make binding side payments prior to location choices). Thus, the merged firm locates two plants so as to limit the market of an excluded rival. While this model recognizes the timing advantage associated with sequential entry, it reverses the traditional game structure of non-cooperative location decisions happening prior to (but in expectation) of a subsequent merger.
 
3
Thus, airline flights between city pairs differ by departure time from early morning to late evening, the editorial policies of newspapers differ from liberal left to conservative right, and breakfast cereals differ in their sugar content.
 
4
When relaxing the assumption that \(\alpha =1/2\), it continues to be the case that for any merger that happens, welfare will fall. However, for either very large or very small values of \(\alpha \), one of the merging firms losses profit with the merger, and so it will not go forward.
 
5
As with the two-stage location game, if the second entrant retain a larger share of the incremental profit from merger, it is possible to have a profitable merger (cite).
 
6
The middle firm is more likely to jump since it does not have the extra corner profit of the other follower. Thus, the no-jump condition from the middle firm binds rather than that from the firm in the right corner.
 
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Metadaten
Titel
Sequential entry and merger in spatial price discrimination
verfasst von
John S. Heywood
Guangliang Ye
Publikationsdatum
01.06.2013
Verlag
Springer-Verlag
Erschienen in
The Annals of Regional Science / Ausgabe 3/2013
Print ISSN: 0570-1864
Elektronische ISSN: 1432-0592
DOI
https://doi.org/10.1007/s00168-012-0516-2

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