The basic two-noncooperative-equilibrium-point model of Diamond and Dybvig is considered along with the work of Morris and Shin utilizing the possibility of outside noise to select a unique equilibrium point. Both of these approaches are essentially nondynamic. We add an explicit replicator dynamic from evolutionary game theory to provide for a sensitivity analysis that encompasses both models and contains the results of both depending on parameter settings.
The interaction of capital stock with overlapping generations is investigated where the time structures of human capital and other physical capital does not match. We consider the economies with either gold or fiat as the outside money and consider the financing problems that appear in the financing of capital stock. The complexity of the underlying physical structure combined with concern for efficiency and equity help to determine the financial structure.
In a previous essay we modeled the enforcement of contract, and through it the provision of money and markets, as a production function within the society, the scale of which is optimized endogenously by labor allocation away from primary production of goods. Government and a central bank provided fiat money and enforced repayment of loans, giving fiat a predictable value in trade, and also rationalizing the allocation of labor to government service, in return for a fiat salary. Here, for comparison, we consider the same trade problem without government or fiat money, using instead a durable good (gold) as a commodity money between the time it is produced and the time it is removed by manufacture to yield utilitarian services. We compare the monetary value of the two money systems themselves, by introducing a natural money-metric social welfare function. Because labor allocation both to production and potentially to government of the economy is endogenous, the only constraint in the society is its population, so that the natural money-metric is labor. Money systems, whether fiat or commodity, are valued in units of the labor that would produce an equivalent utility gain among competitive equilibria, if it were added to the primary production capacity of the society.