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Препринт

A model of tacit collusion: Nash-2 equilibrium concept

We examine the novel concept for repeated noncooperative games with bounded rationality: ``Nash-2'' equilibrium, called also ``threatening-proof profile'' in (Iskakov~M., Iskakov A., 2012). It is weaker than Nash equilibrium and equilibrium in secure strategies: a player takes into account not only current strategies but also the next-stage responses of the partners to her deviation from the current situation that reduces her relevant choice set. We provide a condition for Nash-2 existence, criteria for a strategy profile to be the Nash-2 equilibrium in strictly competitive games, apply this concept to Bertrand and Hotelling game and interpret the results as tacit collusion.