I agree that would be an optimal baton pass, however I am unsure if the rules require the simultaneous effort. My understanding of the rules is that the first runner could come to a complete stop, hand the baton to the second runner (who is also stationary), and then the 2nd runner can begin to run and complete the race. Again, it would not be optimal but the participants would not be disqualified, as taking turns in this manner is not against the rules.
This statement may be inconsistent with rules that define teammates as a cumulative turn based effort of two distinct participants - which this track may seem to be doing.A relay race is successfully run, when all the team members make a full contribution to the overall effort. In a 'two player' game, one player does not contribute to the other's game, thus the players cannot be referred to as teammates.
I would think that this definition would be purely defined by the rules of a competition in any particular context.I say, again: 'two player' games are not team games.
For example, if I have 2 Pac Man Arcade machines and 4 participants:
1.) I could assign player 1 and 2 to be "team A " and place them in front of Pac Man machine #1 - and assign player 3 and 4 to be "team B" and place them in front of Pac Man machine #2
2.) I can then have both teams simultaneously start a 2 player game on each pac man machine and tell them that each team's total combined score of both players is their final score, and that the team with the higher total score wins.
In this context, the 'two player" games are in effect just two distinct parts of a measured total effort. It is irrelevant that the players take turns in this context.
Given the above, I may not be fully understanding your statement on how 'two player' games can not be team games. I may be missing something. Apologies if I am.