Strategic Analysis for a Technological Service Industry: A Differential Game Model

1990 ◽  
Vol 41 (7) ◽  
pp. 573-582 ◽  
Author(s):  
Michael M. Kostreva
Keyword(s):  
Differential Game ◽  
Service Industry ◽  
Strategic Analysis ◽  
Game Model ◽  
Technological Service

scholarly journals Existence theory for games of pricing and technology

2002 ◽  
Vol 43 (4) ◽  
pp. 575-585
Author(s):  
Kokou Y. Abalo ◽  
Michael M. Kostreva
Keyword(s):  
Function Space ◽  
Nash Equilibria ◽  
Service Industry ◽  
Existence Theory ◽  
Game Model ◽  
Objective Functions ◽  
State Equations ◽  
Management Options ◽  
Direct Substitution ◽  
Technological Service

AbstractA differential game model of a technological service industry is reformulated as an equivalent game over a function space by direct substitution of the solutions of the state equations. For this game, Nash equilibria are shown to exist under certain mild assumptions. A generalization is considered in which each firm has a choice of three different objective functions, which may reflect distinct management options in a technological service industry. Nash equilibria for the generalized version exist under similar mild assumptions.

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