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Strategic complementarity in multi-stage games
Authors:Xavier Vives
Institution:(1) IESE Business School, Avenida Pearson 21, 08034 Barcelona, Spain;(2) Department of Economics, Universitat Pompeu Fabra, Barcelona, Spain
Abstract:We provide sufficient conditions in finite-horizon multi-stage games for the value function of each player, associated to extremal Markov perfect equilibria, to display strategic complementarities and for the contemporaneous equilibrium to be increasing in the state variables. The author is grateful to Federico Echenique, Rabah Amir and one anonymous referee for useful comments, project SEJ2005-08263 at UPF and Project Consolider-Ingenio CSD2006-00016 of the Spanish Ministry of Education and Science, and the Barcelona Economics Program of CREA, for financial support.
Keywords:Markov game  Supermodularity  Two-stage game  Linear-quadatric game  Adjustment costs  Learning curve  Network effects
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