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Damn, now I've imagined something...
Let's say one player has a Marksman with plenty of ammunition, and the other has 5 Centaurs. In the middle, there's a strip of obstacles.
If the Marksman stops and shoots, he'll die, so he runs in circles around the obstacle. If the Centaurs stop and don't chase the Marksman, he'll gradually shoot them down.
Neither has any morale, and neither has any mana.
Who creates the stalemate? :D
...update
And here's the funny part:
If you follow the letter of what I'm suggesting, it turns out that the Marksman creates the stalemate – he avoids direct contact but doesn't deal damage.
If he's the attacker, he should retreat, and that's great.
If he's the defender, he should either retreat or offer a draw – and that's great too! The opponents won't annoy each other, and in the end, the one who needs to win the game as a whole will retreat (if there is such a player among them), or they will agree on a draw.
And that's very good