Home Game - Argument gets started

[neuroman]

[ QUOTE ]
Stakes are not that high. We're talking bout a 10$ buy-in so I would just pay up to get the nagging to stop.

[/ QUOTE ]
They are completely in the wrong and do not even have a leg to stand on.

If I felt merciful, I would turn the other cheek and pay them the $10 only after telling them the following:

"I'm sorry that you misunderstood things last week. In the future, if you think you won the pot, you need to speak up RIGHT AWAY, because after the hand is over and the cards are shuffled back into the deck, there is no way to tell who had what.

"Normally I would never, ever, under any circumstances return money after a game is finished. That is not how poker works. But because you guys are new and maybe didn't understand how the rules work, I'd be happy to give $10 to buy into the next game out of the goodness of my heart. I hope that you now realize how important it is to raise your objection right away, before the hand is over, because there is no other way we can run a poker game."

Depending on how nice they were the next time would depend on whether I ever invite them back again. But since the stakes are so low, you might consider bending the rules to maintain a friendly game. Don't let them think they are right and you are wrong, however, but be nice about it at the same time if you can.