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...

Low-energy dynamics in the unit-charge sector of the CP 1 model on spherical space (space-time S 2 × R) is treated in the approximation of geodesic motion on the moduli space of static solutions, a six-dimensional manifold with non-trivial topology and metric. The structure of the induced metric is restricted by consideration of the isometry group inherited from global symmetries of the full fi...

This paper shows that stricter enforcement may increase tax evasion. Individuals vote on a linear income tax which is used to finance lump sum transfers. Stricter enforcement may make redistributive taxation more attractive to the decisive voter. The tax rate and transfer may rise which in turn may increase tax evasion. An example shows that this result can actually occur. The paper also discus...

We develop a model of education where individuals face educational risk. Successful graduation depends on individual effort to study and public resources. After realization of risk, they either work as skilled or as unskilled worker. We show that an optimal public policy consists of tuition fees combined with skill-contingent loans, lump-sum transfers/taxes, and public funding of the educationa...

In this paper we propose a three–level computational equilibrium model that allows to analyze the impact of the regulatory environment on transmission line expansion (by the regulator) and investment in generation capacity (by private firms) in liberalized electricity markets. The basic model analyzes investment decisions of the transmission operator (TO) and private firms in expectation of an ...

Slotting allowances are a relatively recent trend, particular to the retail food industry. These allowances are lump-sum, up-front transfer payments from manufacturer to retailer when the manufacturer launches a new product. The practice has attracted some scrutiny because of uncertainty about its purposes and consequences. We draw from the extant literature to identify factors that potentially...

The effect of linear lumping, linear transformation to reduce the number of state variables on controllability and observability of linear differential equations has been studied. Controllability of the original system implies the controllability of the lumped system. Examples taken from reaction kinetics illustrate our results.

This article introduces a social planner version of a model central to the New Economic Geography for explicitly answering whether the symmetric equilibrium outcome of the decentralized market economy is socially desirable. We find that savings incentives are too weak, resulting in an inefficiently low capital stock and therefore an inadequate number of product varieties. The optimal subsidy an...