LordNue said:
ANYTHING can be addictive. The current psychological model for an addiction states that some sort of stimulus is used (generally we think of drugs or alcohol, but sex, food, television, and videogames are also stimuli that are used in this fashion) by the addict, intially it may have been used purely for recreational purposes, but eventually the stimulus is used to alleviate negative feelings. Thus, instead of dealing with negative feelings, the user avoids them by indulging in the pleasurable stimulus, and the more they want to avoid the negative feelings, the more they need to indulge the stimulus. We recognize this as an addiction at the point at which indulgence of the stimulus has negatively affected the user's life, and this negative affect leads to more negative feelings which the user seeks to avoid by indulging the stimulus even more. This cycle builds on itself, and the addiction continues to worsen unless the underlying problems which caused the unpleasant feelings are dealt with and craving for the stimulus is overcome. [The missunderstanding of this cycle is why many people who haven't done the research believe only some drugs to be addictive (like heroin or morphine), the reason these drugs can create addiction even when there may not have been unpleasant feelings in the user before he or she took them is because the feeling the user feels while taking these drugs is so good that when it is gone and they are back to "normal," normal is now so much less pleasant than what they felt when they are high that normal is, relatively speaking, a state of suffering. That is to say, the things everyone accepts as addictive are even more addictive than other stimuli because the cessation of their use creates negative feelings, causing users to seek more, and creating the cycle of addiction]
For a videogame addiction, a good example would be a kid who feels he is a social reject. Instead of trying to change this by trying to find friends, he plays many videogames so that he doesn't have to deal with the feeling of lonelyness, choosing to lose himself in a fantasy world which he enters as a different character. As he plays more and more games, he becomes even further socially withdrawn, necessitating greater dependance on videogames to avoid the negative feelings that his social status has caused him to feel. I could go on, but I think I've made my point that the current psychological model for addiction could easily incorporate videogames.
Though really all of this is kind of a moot point, because I'm fairly certain the OP wasn't trying to use the term "addiction" literally. And, if I may add at least a little bit that's on topic, the game that got me hooked on gaming was definately Pokemon Yellow.