  Two popular forms of automated market makers are constant sum and constant
product (CSMM and CPMM respectively). Each has its advantages and
disadvantages: CSMMs have stable exchange rates but are vulnerable to arbitrage
and can sometimes fail to provide liquidity, while a CPMM can have large
impermanent loss due to exchange rate changes but are always able to provide
liquidity to participants.
  A significant amount of work has been done in order to get the best of both
constant sum and constant product characteristics. Perhaps most the relevant to
this paper is Stableswap, which has an "amplification coefficient" parameter
controlling the balance between the two types of behavior [Ego19]. Alternative
approaches, such as in [AEC21], involve constructing AMMs using portfolio value
functions. However, there is still much work to be done on these fronts. This
paper presents multiple novel methods for mixing market makers and demonstrates
new tools for designing markets with specific features.
