In microeconomic analysis functions with diminishing returns to scale (DRS) have frequently been employed. Various properties of increasing quasiconcave aggregator functions with DRS are derived. Furthermore duality in the classical sense as well as of a new type is studied for such aggregator...

Most research on option hedging has compared the performance of delta hedges derived from different stochastic volatility models with Black-Scholes-Merton (BSM) deltas, and in particular with the 'implied BSM' model in which an option's delta is based on its own market implied volatility....

Most research on option hedging has compared the performance of delta hedges derived from different stochastic volatility models with Black-Scholes-Merton (BSM) deltas, and in particular with the `implied BSM’ model in which an option’s delta is based on its own market implied volatility....

We consider a general economic equilibrium model with divisible commodities and price functions based on the material balance condition. We show that mechanisms for attaining its solution points are closely related to information exchange schemes attributed to the model within its basic...

We propose an extension of the auction model with many divisible commodities for vector price (validity) functions. It can be viewed as a new general equilibrium model for complex systems with active elements. We give its sufficient vector variational inequality formulation and new general...

We propose several new equilibrium models for auction based markets and show that they admit equivalent variational inequality formulations. This approach simplifies essentially both the derivation of existence and uniqueness results and construction of efficient solution methods. The new models...

We suggest a modification of the coordinate descent methods for resource allocation problems, which keeps the basic convergence properties of the gradient ones, but enables one to reduce the total computational expenses and to provide all the computations in a distributed manner. We describe...

This paper proposes a spatial equilibrium problem for a pulp and paper supply chain in the combined framework of circular economy and environmental regulations. The developed closed-loop supply chain model accounts for the forest deployment and the production of paper using both virgin pulp and...

We consider a general auction model with infinitely divisible commodity and price functions and give a new existence result in the case of the unbounded feasible set. We show that equilibrium states in the Cournot oligopoly can be attained via this auction mechanism. This property holds also...