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Originally Posted by Deftone20
The rule in our league is one pinch runner per game unless otherwise agreed upon by the opposing team.
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Sounds like you may have a local rule that supercedes the ASA rule.
The ASA rule has been noted by Cecil and Steve.
If your league is batting 9, and following standard ASA substitution rules, and the "power hitters" are not the pitcher or catcher, then a "pinch runner" is merely a normal subsitute and the "power hitter" leaves the game.
The "power hitter" may re-enter, but if pinch run for again, she may not re-enter after that.
Also, the same pinch runner may not be used for 2 different offensive players. The substitute (pinch runner), if re-entered, must re-enter in the same position in the batting order, which means if used as a pinch runner again, must pinch run for whoever is in the position in the batting order where she pinch ran before (which would, presumably, be the same "power hitter").
Also, if these "pinch runners" are re-entered on defense, the player they subbed for by pinch running must not be in the game (because you cannot have two players occupying the same batting order position at the same time).
Now, if either of these "power hitters" are the pitcher or catcher, they can use a courtesy runner for them. The courtesy runner is not considered a substitute and the player she is running for is not considered to have left the game. However, the courtesy runner must be an eligible substitute who has not yet been in the game, and the same courtesy runner may not be used for both the pitcher and catcher.
Hope this helps.