We use the system extensively in commercail aviation and it is owned by the U.S. Originally, it was to be the exclusive domain of the Department of Defense but wiser heads prevailed and now the oversight is provided by a mulit-agency. Interestingly, there are tow modes of accurlacy, if you will. One called SPS (Standard Positioning Service) available to anyone provides an accuracy of around of 100m in the horizontal plane and 156m in the vertical plane. These equate to about 95% to 97% accuracy, whereas Precise Positioning Service (PPS) displays 22m in the horizontal plane and 27m in the vertical plane. The refresh rate is higher, obviously, in the PPS mode. By the way, PPS is available, under treaty with most of our allies. The system currently has about 32 satellites, with more planned... To my knowledge, Russia (nor any other country) has an operational GPS system, however it does have limited capability in a pseudo-GPS system called GLONASS and Europe is planning Galileo and, of course, as usual, they've been able to completey and amicably agree on it's design and sharing of costs...
China is considering the cost of thier own system as well...