Not all assets pay dividends.
It would really depend what the asset was being used for.
But a loyalty scheme of some type seems likely in your case.
So the user collects so many loyalty tokens and can then buy a new game, upgrade etc.
In this case the tokens have a real value (at least to games players) and so there is a market for them. Using an Asset allows that market to be realized on the Asset exchange and players can sell their tokens instead of using them. If you had different types of loyalty scheme (for different types of game perhaps) then players could use the Asset exchange as a loyalty scheme exchange.
So far you have done nothing but give tokens away, no payments to anyone. If you choose to sell tokens (and buy back at a lower price) then you have a new revenue stream.
If you choose to issue NXT to token holders every month then you give the token a new source of value which will attract investors and push the price up (probably).
If you issue more tokens to token holders, congratulations you have reinvented the Ponzi scheme.
I think, as loyalty schemes go, you want people to play games not collect tokens for their payments so perhaps their should be no payments.
Collecting tokens to sell to other players, though, means that players can get paid to play....
