Is the bet on river correct?

Nuggy962

Hi

Have I made an error in the long run with the bet on the river?  Is it too big?  Guy had been playing pretty tight as is standard in todays dym.  Was thinking of checking behind as calling hands limited to 10x and poss a low pocket pair - I am trying to push everytime for value even in tougher spots - but had in my mind if i bet small and I am then shoved on what is my play?  So went bigger to make the decision easy.  But by doing that have I now forced all small PP to fold and only 10x call?

x	Small blind		25.00	25.00	1335.00
y	Big blind		50.00	75.00	1975.00
	Your hole cards	K K
Villian	Call		50.00	125.00	2580.00
z	Fold
v	Fold
Nuggy962	Raise		150.00	275.00	1670.00
	Fold
	Fold
Villian	Call		100.00	375.00	2480.00
Flop
		10 3 10
Villian	Check
Nuggy962	Bet		187.50	562.50	1482.50
Villian	Call		187.50	750.00	2292.50
Turn
		4
Villian	Check
Nuggy962	Bet		375.00	1125.00	1107.50
Villian	Call		375.00	1500.00	1917.50
River
		9
Villian	Bet		50.00	1550.00	1867.50
Nuggy962	Raise		850.00	2400.00	257.50
Villian	Call		800.00	3200.00	1067.50
Nuggy962	Show	K K
Villian	Muck	2 2
Nuggy962	Win	Two Pairs, Kings and 10s	3200.00		3457.50

alex1229

No u raised it half pot which is roughly what i would have bet on the river, he showed weakness u punished him, no way he does that move with an 10, looks fine - just crazy call by him

Matt237

Any reason for the 257 left behind? If you go that big you might aswell shove

Nuggy962

My favourite number......

Lol no, wanted to bet 450 after going I to tank and fluffed it so had to quickly half pot it. I think in long run a bet of 400 in this spot more likely to get called by worse, what I bet or shove will only get called by worse I think? 

Not playing the result on this hand, amazed guy called 

DoubleAAA

His riv bet should be treated as a check.  As played Jam river (400 bet looks super strong as leaving only 600 behind) although it really does depend on your read on villain.