Right now, there are 4 parameters:

1. The number of wins that your favorite champ has right now (CHAMP_WINS)
2. The number of regular Jeopardy! games left before the next ToC (GAMES_LEFT)
3. The probability that your favorite champ will be passed (in dollars) by someone with the same number of wins (PROBABILITY_CHAMP_WON_LESS_MONEY_WITH_SAME_VICTORIES)
4. The maximum number of new champions who could pass your favorite champ (MAX_STRONGER_CHAMPS_TO_REMAIN_ELIGIBLE) for them to still remain eligible for the ToC.

For example, if your favorite champ is in 10th place, and there's a teachers champion and a college champ, then potentially there are 13 spots available to regular Jeopardy! contestants. That means that there could be at most 2 more champions from regular Jeopardy! for your favorite champ to remain eligible.