def METHOD_NAME(updated_strategy, gamma=0.0):
  """Approximately projects the distribution in updated_x to have minimal probabilities.
  Minimal probabilities are set as gamma, and the probabilities are then
  renormalized to sum to 1.
  Args:
    updated_strategy: New distribution value after being updated by update rule.
    gamma: minimal probability value when divided by number of actions.
  Returns:
    Projected distribution.
  """
  # Epsilon approximation of L2-norm projection onto the Delta_gamma space.
  updated_strategy[updated_strategy < gamma] = gamma
  updated_strategy = updated_strategy / np.sum(updated_strategy)
  return updated_strategy