This is a question, by way of a possible bug report, or at best just a typo....
Basically, when playing multi-player, if a human player city is about to revolt every single human player in the game is given a pop-up informing them of this possible revolution (along with the stats as to why, etc, etc.) and every single human player is given the choice to support/reject/pay. In addition (this being the possible typo) even though the city in question belongs to another civ, the text stats that "Your populace is about to .."
example: In the last game I played we had 5 human players (and 2 AI's)...The Egyptians had a city that was close to revolution. Thebes I believe. Anyways... the player playing Egypt got the notice that revolution was in the air, and so did the other 4 players. Everyone was offered the choice to support/reject/pay...everyone picked reject ...and game play went on. Then by and by, another pop up stating that things were getting worse and again everyone was given the option to support/reject/pay....
The popup in each case stated that Thebes belonged to "Me", as seen by each player. While clearly Thebes does not belong to the English, or the Germans, etc.
So either, everyone is supposed to get the option to support/reject/pay ...there by possibly giving your opponent a black eye and the text is just mistyped. Or there's a bug that allows every player to interfere in internal civ affairs and needs be addressed.
My way of thinking it can go either way...there's something sneaky about supporting a revolt against one of your opponents. But at the same time, as a player I'd like the chance to fix my city up before everyone else has a chance to pull it all down around me.
oh, and by way of thinking of this as a bug.... when an AI player's city starts talking about revolt, none of the human players gets the chance to support/reject/pay ..