Forecasting tournament probabilities are overly stable compared to prediction market probabilities due to stale predictions.  This is a problem. The solution is to exponentially decay old forecasts in favor of more recent ones, so that old and singleton forecasts fade over time.
How this would work when assessing forecasters is to weight all predictions of forecasters reverse exponentially, so that a forecaster who forecasts infrequently will see influence decline over time in assessing the crowd prediction at each time point and in assessing a subset of the crowd over time.
The sum prediction would be divided by the sum of weights at each time point, so that you wouldn’t get an artifact like a market with 1 forecaster seeing 1 forecast decay over time when there are no other forecasts.