During lunch I played around with using a random number generator to create a weighted system of doing battle depending on the total number of ghosts available and the number of ghosts for each player.
Say 10 total players so 10 ghosts available
Player 1 has 5 ghosts + 1 for them self = 6
Player 2 has 2 ghosts + 1 for them self = 3
Player 1 would get a random number between 6 and 16
Player 2 would get a random number between 3 and 13
Whomever gets the highest number would win. As it is now a tie is a do over.
Player 1 has better odds of getting a higher number because he has a higher range of numbers to select from.
I just did a 50 run sample and Player 1 would have won 40 times
Subsequent 50 sample runs gave Player 1 victories anywhere from 31 - 41 out of 50
Switching the ghosts to player 1 with 7 and player 2 with 2
Player 1 won 48 times over a 50 run sample
Ran that test a second time and player 1 won 40 times.
Could probably figure out different ways to additional weights. Like ghosts won in battle weigh more than ghosts that were attached to you.
Could also add trivia ghosts won to a players range.
So if we took the original example with 5 trivia ghosts
Say 10 total players so 10 ghosts available
Player 1 has 5 ghosts + 1 for them self + 5 trivia ghosts = 11
Player 2 has 2 ghosts + 1 for them self = 3
Player 1 would get a random number between 11 and 26 (total range increased from 10 to 15 due to 5 trivia ghosts)
Player 2 would get a random number between 3 and 13 (standard range of 10 because no trivia ghosts)
Or
Player 1 has 5 ghosts + 1 for them self = 6
Player 2 has 2 ghosts + 1 for them self + 5 Trivia ghosts = 8
Player 1 would get a random number between 6 and 16 (standard range of 10 because no trivia ghosts)
Player 2 would get a random number between 8 and 23 (total range increased from 10 to 15 due to 5 trivia ghosts)
Player 2 won 40 times
Subsequent 50 run samples produced 39, 41, 34 wins for Player 2.
So depending on the number of ghosts a player has, their odds of winning a battle would increase but it isn't just a simple win strictly due to number of ghosts
Ok, I went beyond just lunch.