Abstract
This article studies iterative collective quantum games, where every player interacts with four partners and four mates. Four two-person game types are scrutinized by allowing the players to adopt the strategy of his best paid mate. Particular attention is paid in the study to the effect of variable degree of entanglement on Nash equilibrium strategy pairs in fair games where both players are able to update their strategies. The behaviour of unfair collective iterated games where only one of the players updates his strategies is also scrutinized.
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