  We study the strategic implications that arise from adding one extra option
to the miners participating in the bitcoin protocol. We propose that when
adding a block, miners also have the ability to pay forward an amount to be
collected by the first miner who successfully extends their branch, giving them
the power to influence the incentives for mining. We formulate a stochastic
game for the study of such incentives and show that with this added option,
smaller miners can guarantee that the best response of even substantially more
powerful miners is to follow the expected behavior intended by the protocol
designer.
