How should I play this? potential marginal river call

[Biglines]

Should I be calling or folding the river?

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Hero (MP) ($2.30)
CO ($4.13)
Button ($2.70)
SB ($1.25)
BB ($1.71)
UTG ($2.16)

Preflop: Hero is MP with 8, 9
1 fold, Hero raises to $0.08, 1 fold, Button calls $0.08, 2 folds

Flop: ($0.19) 6, 7, 2 (2 players)
Hero bets $0.20, Button calls $0.20

Turn: ($0.59) 9 (2 players)
Hero bets $0.50, Button calls $0.50

River: ($1.59) A (2 players)
Hero checks, Button bets $1.92 (All-In), Hero ??

[pilipolio]

Fold without read, there are better spots to put your money in at NL2. I wonder what he have however, badly slow played two pairs or set? Loose played over cards with an ace he shoves hoping you call? A few missed draws also, but not enough to make a call profitable imho.

[Biglines]

Im thinking the shove on the river is a pure bluff based on the sizing and how the hand has been played up to this point.

[bikes]

Hero folds. Axdd just got there. and there are better spots to play bluff catcher.

[d0zer]

Villain has to be bluffing like 35% of the time to make this breakeven.

no reads that he makes massive river bluffs A LOT = yer gambling bigtime with this call.

[Squeaky_Midget1]

This is 2NL, villain assumes you checking gives him the license to bet 100% of the time. How bad is a 3 barrell/fold here?

This is 2NL, villain assumes you checking gives him the license to bet 100% of the time. How bad is a 3 barrell/fold here?

you can't fold after 3 barreling, more like 3barrel shove if you're going to do it at all