Premium
Dynamic Hotelling duopoly with linear transportation costs
Author(s) -
Lambertini Luca
Publication year - 2011
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.985
Subject(s) - discounting , duopoly , economics , marginal cost , microeconomics , investment (military) , product (mathematics) , steady state (chemistry) , mathematical economics , mathematics , cournot competition , chemistry , geometry , finance , politics , political science , law
SUMMARY I investigate a spatial duopoly model with linear transportation costs as a differential game where product differentiation is the result of firms' R&D investments. Two related results obtain, i.e. (i) the steady‐state R&D investment (product differentiation) is negatively (positively) related to the cost of capital and time discounting; and (ii) if time discounting and the cost of capital are sufficiently high, the amount of differentiation observed in steady state is sufficiently large to ensure the existence of a unique pure‐strategy price equilibrium with prices above marginal cost. The range of time discounting wherein the game produces a price equilibrium in pure strategies is wider under the closed loop solution than under the open loop solution. Copyright © 2011 John Wiley & Sons, Ltd.