ANZIAM J.
43 (2002), 575-585
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Existence theory for games of pricing and technology
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Kokou Y. Abalo
Department of Mathematics
Erskine College
Due West, SC 29639
USA
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and
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Michael M. Kostreva
Department of Mathematical Sciences
Clemson University
Clemson, SC 29634--0975
USA
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Abstract
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A 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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