In this paper, we study resource allocation in multiclass networks having several types of flexible servers and general constraints on the number of servers at each station. Each job class is characterized by the station where the job is processed and by the amount of work allocated to that...

In this paper, we study the throughput of multiclass networks featuring several types of flexible servers as well as general constraints both on the number of servers having the same skills and on the number of servers allowed at each station. Each job class is characterized by its processing...

The present study focuses on certain problems of pay-as-you-go pension systems. In particular, based on reproduction and survival rates, a Leslie type model is used for the analysis of the demographic dynamics of a population. The presented model is different from the classical Leslie model,...

The general equilibrium model with incomplete asset markets provides a unified framework for many problems in finance and macroeconomics. In its simplest version with only two time periods and a single physical commodity the model is ideally suited for the study of problems in cross sectional...

We show that for multi-unit auctions, of which bundle auctions are a special case, market equilibrium and constrained market equilibrium are equivalent concepts. This equivalence, allows us to obtain a computable necessary and sufficient condition for the existence of (constrained) market...

We propose a simple non-equilibrium model of a financial market as an open system with a possible exchange of money with an outside world and market frictions (trade impacts) incorporated into asset price dynamics via a feedback mechanism. Using a linear market impact model, this produces a...

In an economic model of exchange of goods, the structure can be specified by utility functions. Under utility conditions identified here even more broadly than usual, except for concavity in place of quasi-concavity, every equilibrium will simultaneously be stable with respect to shifts in the...

A theory of general economic equilibrium with incomplete financial markets is developed with many new features, including currency-denominated prices which enable treatment of currency-based derivative instruments and collateralized contracts. Prices in such models with standard market structure...

Since Lėon Walras neoclassical economists hold an inalterable belief in a unique and stable equilibrium for the economic system which however remains to this day unobservable. Yet that belief is the corner stone of other theories such as the "Efficient Market Hypothesis" as well as the...

In this paper we introduce multi-server queueing systems that can be considered as extensions of conventional M/M/s queue to fractional number of servers. We show that the extended Erlangs delay function can be used to calculate delay probabilities for such systems. This approach enables the...