The four year cycle was initially caused by supply shock of the mining reward halvings, but the subsidy is slowly being overtaken by transaction fees. Over the next cycle, the fees might overtake the subsidy in the macro, and then the cycle is nearly only due to the memory of the investors and not a real market mechanism.

I wonder if bitcoin had a steadily reducing subsidy, and the rate of decrease itself decreased, producing a continuous rather than step function over time, if that would have been better or worse.

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we will never know

but halving every 210k blocks is more simple

and i guess it worked out well

Steps incentivise large scale mining to get more rewards which in turn further secure early bitcoin cycles from attack i guess

I don't know about that, however. The steps make bitcoin "newsworthy", but smoother might have made it "safer" and attract people who are still nervous now 🤔

this is called "tail emission" for some reason

and welcome to the club of people who think that halving is stupid

the calculations to compute a valid reward using "tail emissions" are about 5x as much time to compute, or, about 15 CPU cycles (out of 4 billion per second

I'm pretty sure a simple parabolic formula that still results in the same macro level output would be a very fast calculation. Plus, proof of work makes that tiny amount of calculation seem trivial and basically negligible.