There is no fair method.
Sharedrop on Bitcoin (or insert cryptocurrency here), the rich get a bigger slice of the pie.
Solve captchas, those that don't have the time to solve captchas get less, and captcha bots get a lot more.
Sharedrop bitcointalk accounts (or other social media), those that have many accounts get more than honest people with one account.
IPO, the rich get a bigger slice of the pie.
PoW, the rich get a bigger slice of the pie.
PoB, the rich get a bigger slice of the pie.
Etc.
Remark : We don't have to judge the "richer" ones, cause probably they worked for it