Right! I think NEO may be using something similar:
(from https://hackernoon.com/what-is-neo-and-what-is-gas-5b9828a1aa65)
“The platform involves 2 different tokens. NEO and GAS are the cryptographic currencies that drive the Neo network. Both NEO and GAS are capped at 100 million tokens each.
The NEO token is representative of shares in the Neo market, and cannot be divided. NEO holders get voting rights in the NEO ecosystem as well as rights to dividends in the form of GAS. 50 million NEO were distributed through initial crowd funding. The remaining 50 million tokens are fixed with a 1-year lockout period, expiring October 16, 2017.
…
Neo’s alternate token, GAS, is generated at a rate of 8 GAS per block with the construction of the blockchain. The rate of production is reduced by 1 token for every 2 million blocks generated. Sometime around 2039, GAS circulation will reach 100 million and production will cease. Unlike NEO, GAS can be divided.
GAS dividends also accumulate as fees to the network. Users pay in GAS to deploy and run smart contracts. Fees are proportional to the computing resources consumed by the contract. These fees are distributed to ‘bookkeepers’ as reward for their activity on the network.”
