Fickle mining is when cryptocurrency miners are motivated exclusively by profit and switch between mining coins with compatible consensus algorithms (e.g. Proof of Work) when a given coin becomes more or less profitable. This behavior is somewhat common among bitcoin miners after the Aug. 2017 hard fork that created Bitcoin Cash ($BCH). The effects of fickle mining between two nominally competing coins is studied game theoretically to understand potential centralization concerns and security weaknesses. Ultimately, the conclusions find that a given coin can intentionally weaken the security via centralization of another competing coin by lowering the difficulty and attracting miners with shared hardware.