Based on your financial expertise, provide your response or viewpoint on the given financial question or topic. The response format is open.

If a put seller closes early, what happens to the buyer?
An option is freely tradable, and all options (of the same kind) are equal. If your position is 0 and you sell 1 option, your new position in that option is -1. If the counterparty to your trade buys or sells more options to close, open, or even reopen their position afterwards, that doesn't matter to your position at all. Of course there's also the issue with American and European Options. European Options expire at their due date, but American Options expire at their due date or at any time before their due date if the holder decides they expire. With American Options, if a holder of an American Option decides to exercise the option, someone who is short the same option will be assigned as the counterparty (this is usually random). Expiry is after market close, so if one of your short American Options expires early, you will need to reopen the position the next day. Keep in mind dividends for slightly increased complexity. American and European Options do not in any way refer to the continents they are traded on, or to the location of the companies. These terms simply describe the expiry rules.