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Dynamic advertising with spillovers: Cartel vs competitive fringe
Authors:Luca Lambertini  Arsen Palestini
Affiliation:1. Department of Economics, University of Bologna, Strada Maggiore 45, 40125 Bologna, Italy;2. RCEA, Via Patara 3, 47900 Rimini, Italy;3. ENCORE, University of Amsterdam, Roetersstraat 11, WB1018 Amsterdam, The Netherlands
Abstract:A differential oligopoly game with advertising is investigated, where different dynamics occur between two groups of agents, the former playing a competitive Nash game and the latter cooperating as a cartel. Sufficient conditions for stability and a qualitative analysis of the profit ratio and social welfare at equilibrium are provided. A threshold value for the size of the competitive fringe is pointed out by a suitable numerical simulation. Copyright © 2009 John Wiley & Sons, Ltd.
Keywords:advertising  differential games  oligopoly  collusion  optimal control
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