Copyrights

perhaps answered in the past, in which case i apologize;

but do players have, or can achieve, rights to the games they played.

such as, am i breaking any laws/ is it copywrite infringement if i publish a game that was played by someone else without due credit?

games are not owned. collections of games CAN be. law isn't totally clear. you are fine :)

The moves themselves cannot be copyrighted.  The annotations can and generally are copyrighted.  It would be difficult, IMHO, to copyright a collection of games unless there was something unusual, special, individual about the collection, since each game itself isn't, but I'm not sure how that would work.

Publishing a game without noting the players is not unusual.  It is also not uncommon but not unheard of for the same game to be played by different players, i. e.   A&B play a game which duplicates, move for move a game played earlier by D&C.