Due to the use of distortionary taxation, many believe that real-world economies should attain a lower level of public expenditures than one might suspect from the analysis of arti cial models where lump-sum taxes are assumed to be available. The paper examines this popular hypothesis by means of the two-type self-selection model of income taxation. I provide su cient conditions for both a lowe...

Many people invest regularly in sinking funds that track stock market indices. When stock markets themselves sink significantly, as in the current credit crunch, investors face a decision as to whether they should continue paying into a falling fund, or switch payment to a risk-free deposit account until the market recovers. Most financial advice is to keep investing on the grounds that as the ...

We present the construction of a planar vector field that yields the firing rate of a bursting Izhikevich neuron can be read out, while leaving the sub-threshold behavior intact. This planar vector field is used to derive lumped formulations of two complex heterogeneous networks of bursting Izhikevich neurons. In both cases, the lumped model is compared with the spiking network. There is excell...

Lumped and transfer rate constants in ischemic brain tissue must be measured to estimate accurately cerebral glucose utilization by the deoxyglucose method. We studied the bilateral middle cerebral artery occlusion model in 17 cats, 5 with a 1-hour occlusion, 5 with a 4-hour occlusion, and 7 with a sham operation. The time course of cerebral tissue radioactivity (Ci*(t)) was monitored by extern...

An efficient semi-numerical framework is used in this paper to analyze the dynamic model of an axially moving beam with a nonlinear attachment composed energy sink and piezoelectric device. The governing equations motion system are derived by using Hamilton’s principle von Karman strain-displacement relation Euler - Bernoulli theory. modeled as lumped mass point mass, spring cubic stiffness lin...

If menu costs have a non-negligible lump-sum component and with larger firms having greater benefits from price adjustments, then larger firms will change price more frequently than smaller firms. Data from New Zealand firms support this hypothesis. Price duration decreases as firm size increases. Ordered probit analysis indicates the effect comes primarily from larger firms being more likely t...

In this paper we present two models for joint stock replenishment and shipment consolidation decisions which arise in the context of vendor managed inventory. Stock replenishment from suppliers or shipment to customers each incurs a lump-sum cost to the vendor. We assume the vendor uses the reorder point, lot-size policy to replenish stock and one of two schemes to dispatch shipment: the time-b...

Three-dimensional solitary waves or lump solitons are known to be solutions to the Kadomtsev–Petviashvili I equation, which models small-amplitude shallow-water waves when the Bond number is greater than 1 3 . Recently, Pego and Quintero presented a proof of the existence of such waves for the Benney–Luke equation with surface tension. Here we establish an explicit connection between the lump s...

This paper analyzes voting on a linear income tax which is redistributed lump sum to the taxpayers. Individuals can evade taxes, which leads to penalties if evasion is detected. Since preferences satisfy neither single peakedness nor single crossing, an equilibrium may not exist. When it does exist, it may have interesting properties, in particular, the poor and the rich may form a coalition ag...