转移潜能塑造和平衡货币体系
Transfer Potentials shape and equilibrate Monetary Systems
摘要：
本文在复式簿记的基础上分析了一个随机货币转移的货币系统。如果没有边界条件，我们就无法达到价格均衡，违反了经济学家数量理论的教科书公式（MV=PQ）。为了使由此产生的货币量与模型中价格不变的假设相匹配，我们必须施加边界条件。它们要么在全球范围内限制特定的转让，要么在当地强制转让。两者都通过一个一般框架的转移潜力。我们发现，无论是限制或强加的转移可以形成高斯，帐篷形指数，玻尔兹曼指数，帕累托或周期性的平衡分布。我们推导出主方程，并找到其一般的时间依赖的近似解。在转移势的边界条件下，给出了随机货币转移的数量理论的一个等价形式。
英文摘要：
We analyze a monetary system of random money transfer on the basis of double entry bookkeeping. Without boundary conditions, we do not reach a price equilibrium and violate text-book formulas of economists quantity theory (MV=PQ). To match the resulting quantity of money with the model assumption of a constant price, we have to impose boundary conditions. They either restrict specific transfers globally or impose transfers locally. Both connect through a general framework of transfer potentials. We show that either restricted or imposed transfers can shape gaussian, tent-shape exponential, boltzmann-exponential, pareto or periodic equilibrium distributions. We derive the master equation and find its general time dependent approximate solution. An equivalent of quantity theory for random money transfer under the boundary conditions of transfer potentials is given.
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