Single word for a pattern of behaviour where you keep swapping between possibilities [duplicate]

Vacillation would fit your criteria. For example, the 'president's vacillation over foreign policy had far reaching consequences'.


I would definitely say that he was flip-flopping.

  1. Informal. a sudden or unexpected reversal, as of direction, belief, attitude, or policy.

...

  1. Informal. to make a sudden or unexpected reversal, as of direction, belief, attitude, or policy.

Example:

The opposition claimed that the president had flip-flopped on certain issues.


Examples include:

vacillate and its synonyms listed on TFD


indecisiveness TFD

  1. Prone to or characterized by indecision; irresolute: an indecisive manager.
  2. Inconclusive: an indecisive contest; an indecisive battle.
  3. Not clearly defined; indefinite: