The Wave Equation for Stringed Instruments

An elementary derivation of the wave equation as applied to violin strings is given.

Asymmetric Information, Tax Evasion and Alternative Instruments of Government Revenue

Using a pure-exchange overlapping generations model, characterized with tax evasion and information asymmetry between the government (the social planner) and the financial intermediaries, we try and seek for the optimal tax and seigniorage plans, derived from the welfare maximizing objective of the social planner. We show that irrespective of whether the economy is characterized by tax evasion, or asymmetric information, a benevolent social planner, maximizing welfare and simultaneously financing the budget constraint, should optimally rely on explicit rather than implicit taxation.