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In order to have transactions executed and recorded on blockchains such asthe Ethereum Mainnet, fees expressed in crypto-currency units of the blockchainmust be paid. One can buy crypto-currency called Ether of the Ethereumblockchain from exchanges and pay for the transaction fees. In the case of testnetworks (such as Rinkeby) or scientific research blockchains (such asBloxberg), free crypto-currency, Ether, is distributed to users via faucets.Since transaction slots on the blocks, storage and smart contract executionsare consuming blockchain resources, Ethers are distributed by fixed smallamounts to users. Users may have different amount of Ether requirements; somesmall amounts and some large amounts during different times. As a result,rather than allowing the user to get a fixed small amount of Ether, a moregeneral distribution mechanism that allows a user to demand and claim arbitraryamounts of Ether, while satisfying fairness among users, is needed. For thisend, Max-min Fairness based schemes have been used in centralized settings. Ourwork contributes a Max-min Fairness based algorithm and its Solidity smartcontract implementation that requires low transaction costs independent of thenumber of users. This is important on the Ethereum blockchain, since a smartcontract execution with transaction costs depending on the number of userswould mean block gas limit exhaustion problem will eventually be met, makingthe smart contract ineffective. We report tests which confirm that the lowtransaction cost aims have been achieved by our algorithm.

Max-min Fairness Based Faucet Design for Blockchains