What can your overall Holdem Limit strategy be?  Clearly, in cases where you have a flush you can bet good stakes every time;  in cases where you might not have a flush, if you have always checked with your losing hand and your opponents have noticed this more often than not, then your opponent is going to take the pot in holdem limit every time.  You need to consider the fact that at least one of your opponents is making notes about your strategy and whether you play holdem limit or no limit holdem you will have to modify the playing.

 

If with time in holdem limit you happen to bluff and your players are starting to identify this they are likely to call their probability accordingly.  Similarly in cases where the opponent is going to call most of the time for your bluff and they have not identified your bluff in any way then you can continue improving your expected pay off by betting in the right place.

Practically in holdem limit one will have to have a personal track of the strategy that they are using in their play and they will have to use a mixed strategy in making the play.  In bluff situations that have a 1/8 probability you can make your decision based on the last card that you see.  In cases where you are expecting an Ace, your probable chances are appearance of 1 in 48 cards.

A study of many optimal conditions in holdem limit you have to look at extreme situations and make sure that your strategy is reasonable for that situation.  In cases where the minimum allowable bet is going to be less than the pot size (This will be true in almost many cases of holdem limit games) then it will make sense to arrive at that the opponent might not hesitate to invest the bet to see some improvement in the subsequent draws.  Most of the money in holdem limit is going to come from the initial bets.

In cases where the optimal mixed strategy idea is being used, it is going to be sensible to make it applicable when the co-players have been those that know your play well.  You can play your most worked out strategy for a hand in a table of alien players if you believe that would be sufficient.  Optimal mixed strategy is subject to application if the strategy can be weakened, but if it can stand strong on itself then it need not be modified so often.