"People who are rich are happier than poor people"

I think that people that are rich aren't happier than poor people, but to talk about this we need to talk before about happiness.
There are many ways to define happiness, most common are clichés like "Happiness is a grade of Love and interior peace", "Happiness is be optimist", "Is to be in law with your soul" and so on. For this post, I'm gonna talk about happiness understanding it as a "Condition of Satisfaction" and this Satisfaction means a feeling of joy.
If we say that happiness is about satisfaction, then we can relate it to "NEED": we talk of "Satisfied needs". In this Way, happiness is a very, very, VERY cultural subject, because culture give us our needs. There aren't the same needs of a Tibetan than the need of a "Sopaipilla boy", or a Chinese, or a French, or a politic, an economist, one person or another. In the cultural way, we would say "yes, the rich people has a LOT of money to SATISFY their needs" but in contrast they have several kinds of need, and they can (almost) only solve their material needs (Those who requires money). So it's common to see sad rich people because of their greed and ambition (infinite needs) and lifeStyle, shallow of friends, nature, generosity, and kindness and so on. Opposite this, in the same cultural way, we can say that poor people haven’t enough money to solve their material needs, but they are more satisfied because they haven’t the rich's need. Even more, they are happier because they have -many times- family, friends and so on.
Actually, our culture is changing to conceive the happiness only as a material satisfaction, to set our needs and goals only as materials, perturbing our diverse spiritual, emotional and natural needs. If poor people will have (and is having) only material goals and needs, but they doesn't have the money to solve it, I'm sure that the poor people, some day, may be sadder than rich people, but angrier enough to change the things again.