Corporatist Capitalism - anybody is not prohibited to be rich while somebody can be poor
State Communism - anyone is prohibited to be richer technically speaking but not prevented from being absolutely poor
Anarcho-Capitalism - anybody can be either rich or poor.
Anarcho-Communism - anybody can be neither rich nor poor (abolished property right)
Socialism - anybody should be neither richer nor poorer
Social-Democrat (Modern Liberal) - anybody can be richer or poorer, but no extreme
Liberalism / Libertarianism / Anarcho-Individualism - anybody can be anything (in a deeper meaning)