Some random ideas:
More interaction with owners, fans, media and the city officials.
This would/could affect morale, money available for player salaries, good/bad publicity affecting how many fans go to games and how much they affect player morale.
e.g. Media gives constant bad publicity to player A, Fans agree or disagree with media. If fans agree they constantly give a bad time to a player when on the ice and then player's morale plummets and wants a trade.
It could also apply to visiting team player who would then, depending upon his temperament, either play worse, the same or better.
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