Regards,
Charity is one of many noble deeds. People for people. Giving something to someone unconditionally without expecting anything in return is called charity. In Islam such charity is called sadga. Charity needs to start from home so that children will be motivated to do humanitarian work from an early age. You said it is true that if the rich people of the world gave away some of their wealth then there would not be so many needy people. Good luck to you.