Rationing with baselines: the composition extension operator

Rationing with baselines: the composition extension operator

We introduce a new operator for general rationing problems in which, besides conflicting claims, individual baselines play an important role in the rationing process. The operator builds onto ideas of composition, which are not only frequent in rationing, but also in related problems such as bargaining, choice, and queuing. We characterize the operator and show how it preserves some standard ax...

Rationing in the presence of baselines

We analyze a general model of rationing in which agents have baselines, in addition to claims against the (insufficient) endowment of the good to be allocated. Many reallife problems fit this general model (e.g., bankruptcy with prioritized claims, resource allocation in the public health care sector, water distribution in drought periods). We introduce (and characterize) a natural class of all...

An Operator Extension of Bohr's inequality

The Universal Net Composition Operator

Petri nets are frequently composed of given nets. Literature suggests a lot of different composition operators, for different purposes and different classes of Petri nets. Formal definitions are frequently surprisingly technical, not matching the intuitively very elegant composition of Petri nets in the framework of their graphical representation. This paper suggests the universal net compositi...

Rent Control Rationing, Community Composition, and Residential Segregation*

This paper considers the effects of rent control on community socioeconomic composition. In particular, do rent controls increase the presence of poor and minority residents in a locale? Theoretically, the effect of rent controls on community composition depends on a tradeoff between lower prices which might favor the disadvantaged and a landlord imposed rationing mechanism which likely does no...