Single Player Vs. Multiplayer

Many console games now have online multiplayer features. It seems these days a game can have a mediocre single player campaign mode but a explosive online mode. So what do many gamers consider a great game. Would it be a game with a great multiplayer mode such as Call Of Duty Modern Warfare 2? Or single player oriented games such as Final Fantasy XIII? Many would argue now that a great game must include a multiplayer mode. This definitely keeps a game to be continuously played in a community with others. Gamers participate in either going against each other or teaming up and playing against computers, it really depends on what game is being played. Gamers are able to compare stats and try to compete in being the best. The problem with multiplayer is gamers would need a internet access point and a fast internet provider in order to participate on the online modes, but many should have home access to the net these days.
Many original games were single player oriented and they were great. Now a days there are not too many games out there with an amazing single player mode anymore. Only some games such as God of War 3 or the Grand Theft Auto series can hold their own in this category. I believe it is harder to come up with a great single player without important elements such as an enriched story line, memorable characters, and most importantly game play. The downfall is you can only play the same game so many times. This is when the multiplayer would come into play and add more fun to the action. So what would gamers prefer? What makes a game great? Is it a great campaign mode or an everlasting online multiplayer mode?