Does the quadratic amount of Tokens of Friendship gained by PCs become problematic with more players? What are reasonable alternatives for allotting Friendship?
In Tails of Equestria, every PC (Pony Character) is given a number of Tokens of Friendship at the beginning of each adventure equal to the number of players (PCs + GM) playing the game. This means that the total number of Tokens that the group is collectively given is equal to:
PCs * (PCs + 1)
or, alternatively,
(PCs ^ 2) + PCs
This has quadratic growth, and results in larger groups having an enormous wealth of Friendship compared to smaller groups.
PCs Friendship
--------------------
2 = 2*3 = 6
3 = 3*4 = 12
4 = 4*5 = 20
5 = 5*6 = 30
6 = 6*7 = 42
As can be seen, a group of 5 players would receive a whopping 2.5 times as many Tokens of Friendship as a group of 3 players would. 6 players would have a massive pool, while 2 players would have almost none.
Friendship is capable of many powerful things, not the least of which is its high-end power at the cost of 3 tokens, which allows an automatic success at any check.
By giving back 3 Tokens of Friendship to the GM, you pass the test or win the challenge automatically - no re-roll is needed!
The book does suggest that a form of Rule Zero is in place here, in which the GM can dictate higher or lower costs of Friendship as the situation calls for, but this only punts on the real issue. It's clear that Friendship applies to both Tests and Challenges, which is essentially all types of standard dice rolls in the system.
My fear is that a large group would have so many tokens that they could practically complete an entire adventure with nothing but the power of friendship! While this is certainly... thematic and fitting with the tone of the source material, it would also result in failing to interact with any other mechanics of the game.
Does this quadratic function cause degenerate play? Is it wise to replace it with a linear function?