On Dynamic Games with Randomly Arriving Players

Dynamic Games and Applications - Tập 7 - Trang 360-385 - 2016
Pierre Bernhard1, Marc Deschamps2
1BIOCORE Team, INRIA-Sophia Antipolis Méditerranée, Sophia Antipolis, France
2CRESE, BETA-CNRS and OFCE-Sciences Po, Université de Bourgogne Franche-Comté, Besançon, France

Tóm tắt

We consider a dynamic game where additional players (assumed identical, even if there will be a mild departure from that hypothesis) join the game randomly according to a Bernoulli process. The problem solved here is that of computing their expected payoff as a function of time and the number of players present when they arrive, if the strategies are given. We consider both a finite horizon game and an infinite horizon, discounted game. As illustrations, we discuss some examples relating to oligopoly theory (Cournot, Stackelberg, cartel).

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