On Dynamic Games with Randomly Arriving Players

Pierre Bernhard (1) , Marc Deschamps (2)

1 BIOCORE - Biological control of artificial ecosystems
2 CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190)

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).

Mots clés: Dynamic game; Bernoulli process of entry

Domaines: Automatique; Mathématiques [math]; Sciences de l'ingénieur [physics]; Sciences du Vivant [q-bio]

Pierre Bernhard, Marc Deschamps. On Dynamic Games with Randomly Arriving Players. Dynamic Games and Applications, 2016, pp.34. ⟨10.1007/s13235-016-0197-z⟩. ⟨hal-01425013⟩