An RNG Method for Ethereum

Last night I was thinking about how to do random number generation in Ethereum. It’s a difficult problem, given the fact that the blockchain is, and must be, public and deterministic. Using a future block hash can work in certain applications if the properties required of the selected block are kept secret until several blocks after the block has been mined. Even in this scenario, though, it’d be possible for a powerful malicious miner or consortium of miners to just consistently skew the distribution of random values and affect the overall outcome of an RNG-dependent dapp over the long haul. This especially becomes a problem under proof-of-stake, as computing capacity that might have otherwise had to go toward mining is freed up for block hash mutation. Sophisticated users may notice the skew in such a scenario, but I expect most would not. Such a tactic might go unnoticed for a long time.

Relying on simple oracles is another possible solution, and one which I think carries great merit: hashing together the results from multiple reputable RNG oracles providing values from hardware-based RNGs would be efficient and easily audited. However, this solution has the unfortunate property of being somewhat trustful. It could certainly work, but it would require a good reputation system and no small amount of vigilance.

In certain scenarios, the best solution may be to leverage user input to provide entropy. In particular, imagine a game on the blockchain run in rounds twice the size necessary to prevent malicious miners from rolling back the results of each round. For the sake of the example, let’s say the figure is 24 blocks.

The first 12 blocks would comprise a commitment round: players would submit hashes of (heavily) salted two-bit values indicating a preference for heads (1) or tails (0) and a preference for flipping the coin before moving on to the next player (1) or leaving the coin as it is (0), along with some uniform, pre-determined amount of ether. The submissions would be sorted by hash during this round.

The next 12 blocks would comprise a revelation round: as players submit the their original salted bets, the coin (which starts at “heads”) is either switched to the opposite side (“tails,” initially) or left alone in accordance with the player’s preferences. The final state of the coin after running through all the submissions in the order they were sorted into during the previous round determines which players win and which ones lose. Those who have lost receive half their ether back while the other half gets sent to the winners, along with all the ether of those who did not reveal their bets. (The requirement for apparent bet uniformity is a simplifying assumption: otherwise payouts and penalties would have to be calculated based on relative bet size, which could weaken the incentives involved and would certainly complicate the example.)

In this case I’ve stuck with randomizing a single bit value, but the technique could be generalized out to greater bit lengths. Imagine for example the same game as described above, only with each player betting on a larger number, with payouts being determined by the user’s proximity to the number resulting from XORing or SHAing their number together with all the other bet numbers. This sort of game could even itself be used as an on-chain RNG oracle if the user requesting an on-blockchain random number places a bet to ensure they are not observing a game comprised entirely of colluding parties intent on mucking up the oracle’s results.