In Bridge, there is a axiom that goes, “play low in the second seat – play 
    high in the third seat.” After an opening lead, the player in the second 
    seat is in a prime position to become finessed. By playing low in the second 
    seat, the partner of the leader (in the third seat) cannot be certain 
    whether the player in the second or fourth seat holds a crucial honor or 
    intermediate card; these cards may eventually be promoted to win a critical 
    trick. However, in third seat, either our partner deliberately lead the suit 
    or we called for the dummy card as declarer. Either way, in third seat our 
    predominant goal is to promote a trick. So we generally play a high card in 
    third seat. 
    Yet like most 
    “rules”, there are several considerations before automatically playing a 
    high card in third seat: 
    1. Play the 
    “lowest of equals” over dummy cards – playing the higher of two touching 
    honors misleads partner into thinking the Declarer holds the lower of a 
    touching sequence. 
    2. When 
    appropriate, keep a “cover card” (usually higher honor card) over the 
    visible card in dummy – of course, the defender must carefully consider 
    factors such as transportation, possible finesses, declarer’s short suits, 
    etc. 
    3. Avoid 
    winning a trick when gaining the lead at that moment would ultimately lead 
    to losing additional tricks. 
    4. Consider 
    keeping suit communications open in Notrump contract – playing low on the 
    first round (ducking) to subsequently promote the suit when regaining the 
    lead. 
    Let’s look at some illustrative examples – this discussion assumes 
    fourth-best leads.
                    4 3 2
A 10 9 8 7             K J 5
                Q 6
    West leads the 10, the top of a sequence. East must go up with the
    King, otherwise declarer South will win the trick and switch to 
    another suit.
                   K 9 7
A 8 3 2               Q 10 4
               J 6 5
    West leads the 2, the fourth best and promising a four card suit 
    (otherwise West would lead a higher card, holding 5). After declarer plays 
    the 7 from dummy, East must play Queen, otherwise South 
    unnecessarily wins a cheap trick.
                   8 7 6
K 10 4 3               Q 9 2
               A J 5
    West leads the 3, the fourth best - as East, you can deduce this 
    fact since you hold the 2; if West held 5+ cards, the lead would have 
    been a card above the 3. In third seat, East must play the Queen, 
    again third hand high in order to hold the declarer to one winner. 
    Now let’s look at a few hands involving dummy finesses.
                      Q 8
A 7 6 5 4 3            K 10 9
                 J 2
    West leads the 5 to dummy’s 8. East must play the King 
    – third hand high. Incidentally, did you use the
    
    Rule of 11 here? Here the formula is: 11 – 5 = 6
    So after the lead of the 5, the remaining 3 hands have 5 cards above 
    the 5. Sitting in the East seat, we can count 5 of the 6 so declarer 
    South has only one card above the leader’s 5. Playing the King 
    ensures the defenders get all their tricks. Now let’s modify the hand 
    slightly.
                    Q 8 2
A 7 6 5 4             K J 9
                10 3
    After West’s lead of the 5 to dummy’s 8, East must play the 
    Jack, not the King. This is an example of “low from equals” – since the 
    dummy’s Queen is pinned, playing the Jack will win a trick 
    just as effectively as the King and still keep the looming honor over 
    the Queen later in the hand. It would be wasteful to play the King 
    on the first trick and potentially give the opponents an undeserved trick 
    later in the hand.
                 Q 8 7
9 2                  A J 10 6 5
             K 4 3
    During the auction East bids a long suit, so West leads the 9 – 
    probably from a doubleton. East may play a low card since the only 
    outstanding honor above the leader's 9 is the Ace. Here’s an 
    exception to playing third hand high. East should keep a “cover card” – the
    Ace honor over dummy’s Queen. In addition to keeping the 
    important cover card, West can deduce that East has the Jack and 10. 
    Now let’s investigate third hand play when leader has a strong honor 
    sequence.
                    J 3 2
K Q 10 5 4             A 6
                9 8 7
    West leads the King, the top of a broken sequence (recall we 
    should lead the top of the touching honors). In third seat, East should play 
    the Ace and return the suit. If East played the 6, West will 
    certainly play again; this would force East to play the Ace, blocking 
    the suit – a most unfortunate situation. Next, let’s examine a situation 
    where third hand uses a ducking strategy to belatedly promote a suit 
    (opponents are playing a Notrump contract).
                 3 2
10 4                 A K Q 6 5
            J 9 8 7
    Imagine East bid this suit, South overcalled Notrump and the opponents 
    eventually ended up in 3 Notrump. After West dutifully leads the 10, 
    should East win the trick and continue playing the suit? The answer is, “it 
    depends!” If East has an outside entry, then going up with the top honor 
    will work – East loses the fourth trick to South’s Jack but later 
    wins a trick in an outside suit and cashes the fourth trick in this suit to 
    set the contract. But what about the situation where West has the only 
    winner in an outside suit? If East were to win the Ace-King-Queen and 
    East later gets in the lead, West would not be able to return a card to 
    East’s promoted suit. We call this keeping the suit communication open. In 
    essence, when the long hand does not have an outside entry, be careful to 
    disrupt the vital suit communication channel. Finally, let’s explore a 
    ducking maneuver where the opponents are in a suit contract and partner is 
    hoping to gain a ruff.
               J 8 6
9 2              A 10 7 5 4
          K Q 3
    West leads the 9; should East play third hand high with the Ace? 
    Again, the answer depends on who has an outside suit entry. If East has an 
    outside Ace of trump, it would be okay to win the Ace here and 
    return a low card in the suit – when the declarer wins the trick and plays a 
    trump, East wins and plays a third card in this suit to give West a ruff. 
    However, if West potentially held the Ace of trump or King-third
    “behind” the declarer, than clearly East should not win the first trick. 
    As we saw before, when West regains the lead and returns the remaining 
    singleton in the opening suit, East wins the Ace and gives West a 
    well-deserved trump ruff. 
    In summary, third hand high is a useful axiom yet it does not absolve the 
    player from thoughtful play based on the big picture - and that’s what makes 
    our delightful game of Bridge so much fun! Two good books covering third 
    hand high (or not) are: “Defense” 
    (formerly known as the Heart Series) and “25 
    Bridge Myths Exposed.”