The pit boss and quick look at the board

 The pt boss grants round robin access to the pit. After each, it checks the lL/S ratio.

If that ratio goes to far toward 1 or 0, it acts with an interest swap, and absorbs skew losses or gains in the market account.   Traders can see the market account, they can see the binomial of the bets.  But doing so lessens the probability of an interest swap.

A shock happens and loans pile up. The pit boss will make money.  And soon there after has to put much of it back in the form of excess loans it makes, paying  excess interest to depositors.  The pit boss is a neutral market maker.  The state of the system is equivalent to the current market account, and nothing else really.   The deposits and loans are structured queues, making a filtration process.  That means the pit or organized iLog(i), for each the loans and deposits.  There is thus a measure of distance along the X axis for both.  That is, larger baskets hold more items. The pit boss error a known and finite variation.

That means the variable, loans to deposits, has a smooth finite distribution.  That ratio must be a rational fraction since we can index. We also know the market error must be maximally irrational.  All arbitrage has been removed from it.

These conditions make this a Markov 3 tuple surface.  All the betting sequences should converge to the optimum ratio, but we have bounded market noise, due to serialization of the bets. However there is a real limit, the 3 tuples.

We can see this is an all cash system, there is no third party to be informed, all of that done with risk equalization prior to entry. There is no time, adding time early causes unbounded action, says Einstein.

Where is inflation? Somewhere else, likely government has a bounded rate default clause. But in this system, default costs are shared, fairly.

Serialization?  It is segmenting the summation into sections, the pit boss only runs asynchronously as needed.   Two traders on the board as the same time is a requant, moving faster than light, there is no bounded convergence.  Serialization here makes the Markov condition true, and Markov tell us the exact step of light for any dimension.  At that speed of light all color operators meet properly. But the speed of light condition is the no arbitrage, it is also a condition on handling round off spectrum in Hurwitz, but I go beyond my ability.

It is loans to deposits because deposits equal zero is a non existent S&L   Any solution includes a finite N, total  market size.  And, a look at the boards should have a congestion cost. Pit boss computed trades have no fee when the market risk is bound around zero.