Willemien: I wrote this at Simultaneous Capture but then thought it interesting enough to put it also here
In my opinion: Sekis exist for 2 reasons:
the first reason is the most common one, in all sekis it applies (or will later apply) to at least one of the players.
This is just my first impression can there be other reasons
All the examples on this page fit this description. sometimes both players fall under the atari case, sometimes it is for one the atari case and the other the eye case.
f3etoiles Alas, other possibilities exists... See StrangeSekis, or my page on sekis in my bestiary at http://denisfeldmann.fr/bestiary3.htm