Perfect control is boring. No control is frustrating and probably boring, on top of offering not MeaningfulChoices.

If the player has no influence, you have more of a story than a game. The trick is to incorporate CalculatedRisk so the player can guess at the possible outcomes, and influence them somewhat, but never know the result for certain.

To bring in PlayerInteraction, make the uncertainty result from the combined actions of all players.

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