That's all paper and pencil thinking. I would humbly suggest looking out your window. By your same reasoning, the longer a person is unemployed, the more they would desire becoming employed and the more motivated they would become. The reality is the opposite: they become more and more defeated, they feel more and more hopeless.

There have been some very interesting studies done on this by a Stanford professor with children from the projects. (I'll look it up if you're interested.) The feeling of despair and hopelessness sets in very early.

I understand the theory you're presenting; however, I have found the opposite to occur in reality.