Love me a game where all players do not have the same victory conditions.

@ZaneSelvans

1. Mafia should fit the bill https://en.wikipedia.org/wiki/Mafia_(party_game)

2. Kabaddi is turn based sport, where in each turn both teams have different goals https://en.wikipedia.org/wiki/Kabaddi

3. I have played board games with such conditions. Can't remember name.

Mafia (party game) - Wikipedia

@ZaneSelvans Also in tournament setting, sometimes symmetric games can become unsymmetric.

For example, there can be a football match between A and B in the group stages. A can advance to knockout by winning against B. But B can advance as long as they don't lose by too many goals (so they fall below C in ranking). Say, A-B = 0-1, 0-0, 1-0, 2-1 are all acceptable to B, but 2-0 or 3-1 are not.