Marco is correct. What I can say. France and Italy have 5 players each:
France Team:
- FRpl1
- FRpl2
- FRpl3
- FRpl4
- FRpl5
Italy Team:
- ITpl1
- ITpl2
- ITpl3
- ITpl4
- ITpl5
Example for France (GHEMANT proposition):
FRpl1 choose best game for FRpl2
FRpl2 choose best game for FRpl3
FRpl3 choose best game for FRpl4
FRpl4 choose best game for FRpl5
FRpl5 choose best game for FRpl1
It have no sense. It is almost identical how:
FRpl1 choose best game for FRpl1
FRpl2 choose best game for FRpl2
FRpl3 choose best game for FRpl3
FRpl4 choose best game for FRpl4
FRpl5 choose best game for FRpl5
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I have for you other proposition
France Team must choose game where some Italy player have 1st and none of France players have 1st, 2nd or 3rd in this game.
Ex.
ITpl1 (or ITpl2 or ITpl3 or ITpl4 or ITpl5) have 1st in Aliens
France players don't have 1st, 2nd or 3rd on Aliens.
France Team can choose this game.
ITpl1 (or ITpl2 or ITpl3 or ITpl4 or ITpl5) have 1st in Donpachi
FRpl1 (or FRpl2 or FRpl3 or FRpl4 or FRpl5) have for example 2nd place on Donpachi
France Team can' choose this game because one from they have 2nd place on Donpachi.
Otherwise Italy Team must choose game where some France player have 1st and none of Italy players have 1st, 2nd or 3rd in this game.
Short:
France Team must choose best games for Italy Team and viceversa.
PS. Italy Team and France Team before tournament can prepare list 20 games (each team 20 games) and players will choose game from these lists only. It eliminate situation where Teams will choose games from 1st but with poor scores.