ANZIAM  J.  43 (2002), 575-585
Existence theory for games of pricing and technology

Kokou Y. Abalo
  Department of Mathematics
  Erskine College
  Due West, SC 29639
Michael M. Kostreva
  Department of Mathematical Sciences
  Clemson University
  Clemson, SC 29634--0975

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.
Download the article in PDF format (size 78 Kb)

TeXAdel Scientific Publishing ©  Australian MS