EVALUATING ALL BERTRAND-NASH EQUILIBRIA IN A DISCRETE SPATIAL DUOPOLY MODEL
-
- Matsubayashi Nobuo
- NTT Communications
-
- Umezawa Masashi
- University of Tsukuba
-
- Masuda Yasushi
- Keio University
-
- Nishino Hisakazu
- Keio University
Search this article
Description
This paper studies a spatial duopoly model where customers are located at nodes and the demand functions are given for each node. For any fixed location of two firms, we analyze Bertrand-Nash equilibrium and derive a necessary and sufficient condition for the existence of equilibrium. We present an algorithm to compute all equilibria, provided profit functions have a finite number of peaks. The algorithm terminates within polynomial time if the number of peaks is polynomial in the number of nodes.
Journal
-
- Journal of the Operations Research Society of Japan
-
Journal of the Operations Research Society of Japan 47 (1), 25-37, 2004
The Operations Research Society of Japan
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1390001204110624000
-
- NII Article ID
- 110001183590
-
- NII Book ID
- AA00703935
-
- ISSN
- 21888299
- 04534514
-
- NDL BIB ID
- 6888723
-
- Text Lang
- en
-
- Data Source
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- Abstract License Flag
- Disallowed