Here's a real-world example from a hand I just played that applies to this thread:
PLAYER8 is in 3rd place before the hand, and has 1400 chips more than the short-stack. We are 7-handed, one out of the "money" with 6th getting $14 cash, and everyone else getting a $26 token. Blinds are 250 and 500.
I have a solid chip lead, and have been showing my raising hands to the table since I can't get any callers. My last 5 raises have been with AK AK KK AQs and AA, so the table knows that I am coming in with solid cards.
Based on all that, in his position, I'm not racing with AA. He chose to push, and I got lucky when I called.
full tilt poker Game #5684000808: Tier One $8+$0.80 (43262073), Table 1 - 250/500 - No Limit Hold'em - 11:06:17 ET - 2008/03/18
Seat 1: PLAYER1 (2,520)
Seat 2: PLAYER2 (3,585)
Seat 3: PLAYER3 (5,340)
Seat 4: PLAYER4 (3,000)
Seat 6: KenFischer (6,050)
Seat 7: PLAYER7 (2,945)
Seat 8: PLAYER8 (3,560)
PLAYER8 posts the small blind of 250
PLAYER1 posts the big blind of 500
The button is in seat #7
*** HOLE CARDS ***
Dealt to KenFischer [Qh Qd]
PLAYER2 folds
PLAYER3 folds
PLAYER4 folds
KenFischer raises to 1,750
PLAYER7 folds
PLAYER8 raises to 3,560, and is all in
PLAYER1 folds
KenFischer calls 1,810
PLAYER8 shows [Ac As]
KenFischer shows [Qh Qd]
*** FLOP *** [7h Qc 6d]
*** TURN *** [7h Qc 6d] [Jh]
*** RIVER *** [7h Qc 6d Jh] [7s]
PLAYER8 shows two pair, Aces and Sevens
KenFischer shows a full house, Queens full of Sevens
KenFischer wins the pot (7,620) with a full house, Queens full of Sevens
PLAYER8 stands up
*** SUMMARY ***
Total pot 7,620 | Rake 0
Board: [7h Qc 6d Jh 7s]
Seat 1: PLAYER1 (big blind) folded before the Flop
Seat 2: PLAYER2 didn't bet (folded)
Seat 3: PLAYER3 didn't bet (folded)
Seat 4: PLAYER4 didn't bet (folded)
Seat 6: KenFischer showed [Qh Qd] and won (7,620) with a full house, Queens full of Sevens
Seat 7: PLAYER7 (button) didn't bet (folded)
Seat 8: PLAYER8 (small blind) showed [Ac As] and lost with two pair, Aces and Sevens