1986
DOI: 10.2307/2526617
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The Nature of Equilibrium in a Location Model

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Cited by 62 publications
(55 citation statements)
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“…Intuitively, the asymmetric strategies are not consistent with price dispersioñ For particular two-person games, such as the War of Attrition (Hendricks, Weiss and Wilson, 1988), capacity-constrained price setting games (Osborne and Pitchik, 1986a), and price setting with loyal consumers (Narasimhan, 1988), uniqueness has been thoroughly examined. Osborne and Pitchik (1986b) also examine the question of uniqueness in the 3-firm "pure" location model of Hotelling (1929). They show that with a uniform distribution of consumers, in addition to a symmetric mixed strategy equilibrium (sce Shaked, 1982), there is a unique (up to symmetry) asymmetric equilibrium within the class of equilibria in which at least one firm uses a pure strategy.…”
mentioning
confidence: 99%
“…Intuitively, the asymmetric strategies are not consistent with price dispersioñ For particular two-person games, such as the War of Attrition (Hendricks, Weiss and Wilson, 1988), capacity-constrained price setting games (Osborne and Pitchik, 1986a), and price setting with loyal consumers (Narasimhan, 1988), uniqueness has been thoroughly examined. Osborne and Pitchik (1986b) also examine the question of uniqueness in the 3-firm "pure" location model of Hotelling (1929). They show that with a uniform distribution of consumers, in addition to a symmetric mixed strategy equilibrium (sce Shaked, 1982), there is a unique (up to symmetry) asymmetric equilibrium within the class of equilibria in which at least one firm uses a pure strategy.…”
mentioning
confidence: 99%
“…In another paper, Osborne et.al. (1986) focus on the study of symmetry of mixed strategy equilibrium for an arbitrary distribution of the number of consumers and firms [10]. Analysing the equilibrium at macroeconomic level, Coffinet and Pop (2013) show that the current financial crisis offers a unique opportunity to investigate the most important features of market indicators in a particular environment and their usefulness form a banking supervisory perspective.…”
Section: Literature Reviewmentioning
confidence: 99%
“…See the discussion in Footnote 18. There is an extensive literature on the existence of price equilibria in spatial models (see among others d 'Aspremont et al, 1979;Anderson, 1987;and Osborne and Pitchik, 1986).…”
Section: Basic Model Set Upmentioning
confidence: 99%