It isn't the moves that are to be repeated, but the entire position. In your case, you've made the same move, but your opponent has been making different moves. The idea behind this type of draw is that neither player is making any advancement towards a win because, despite moves having been made, the board still looks the same.
Short answer: No, your opponent is not obligated to accept your draw offer.
no the position is drawn after 3-fold repitition, and only apply if both sides have made the same three moves consecutively.
no the position is drawn after 3-fold repitition, and only apply if both sides have made the same three moves consecutively.
This is a common misconception. It doesn't matter if the positions are consecutive, or even if they arrive by the same moves. What matters is:
The board looks the same (all pieces by all players are in the same locations)
Any opportunities for special moves (castling or en passant) must remain available. Since en passant is only available immediately, this means that a position where an en passant is available will not count for later repetitions.
It is the same player to make the move in the position (an otherwise identical position where it is white to move once and black to move another time are considered different).
Thanks for that clarification. That's actually what I thought before I started playing the computer here. I was a little confused because the computer here at Chess.com automatically calls the game a draw when I repeat my same position 3 times, regardless the moves/positions of the computer.
One more clarification if you guys don't mind. Concerning the rule about the game ending in a draw if "Fifty consecutive moves have been played where neither player has moved a pawn or captured a piece," what counts as a move? Does that mean black and white each have to make 50 moves? Or only 25 moves from white and 25 moves from black?
About the computer, that's odd and not right. Are you talking about the "Little Chess Partner" or whatever it's called? That's been known to have several other bugs in its programming.
About the 50-move rule, that's fifty full moves (i.e. 50 from each player). Often a half-move or move by only a single side is called a "ply." So fifty moves is a hundred ply. That usage is more common with computer analysis, and you still often see "move" used when "ply" is better.
Remember, the idea behind both the 50-move rule and the threefold repetition rule is that neither side is making any progress. So, the "moves" mentioned must be considered for both sides, not just your own. Like I said before about threefold repetition, the same side has to be on move for each repetition of the position, so there are full moves (even number of ply) between each position to be considered the same.
Thanks for clearing that up. You guys are awesome.
I'm not familiar with the "Little Chess Partner" but I'm also sort of new here. To play the computer at Chess.com, I just hover my pointer over the "PLAY" tab and then select/click "Vs. Computer" and it takes me here: http://www.chess.com/play/computer
I'm currently playing a game on Chess.com and to be honest, my opponent got the upper hand pretty quickly, but now I'm left with only my king and offered a draw after repeating Kh7 three times. Is my opponent obligated to accept my draw?