Good morning aj, and Rene,

> * you're providing a way of throttling payment traffic independent of
> fees -- since fees are competitive, they can have discontinuous effects
> where a small change to fee can cause a large change to traffic volume;
> but this seems like it should mostly have a proportional response,
> with a small decrease in htlc_max_msat resulting in a small decrease in
> payment volume, and conversely. Much better for stability/optimisation!

This may depend on what gets popular for sender algorithms.

Senders may quantize their payments, i.e. select a "standard" value and divide 
all payments into multipath sub-payments of this value.

* Simplifies the computation of base fee when using a min-cost solver.
* Simplifies the design of splitting/merging decisions if not using a min-cost 
solver.
* Improves privacy once we have PTLCs (if most senders use the same standard 
value, it is much harder to figure out if two sub-payments, with approximately 
the same standard quantum, belong to the same payment or not).

If so, then we expect a large discontinuity for the `htlc_max_msat` vs 
`htlcs_sent` curve around whatever selected quantum there is.
If you set `htlc_max_msat` below this quantum your expected number of payments 
forwarded will drop to near 0, but a little above that and you might very well 
saturate since all payments are quantized anyway.

At least fees gets you basic economics of supply and demand, and is a natural 
throttle in all markets, including liquidity markets.

Regards,
ZmnSCPxj

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