Abstract   Extended Oligopoly models will be introduced and examined in which the firms might face capacity limits, thresholds for minimal and maximal moves, and antitrust thresholds in the case of partial cooperation. Similar situation occurs when there is an additional cost of output adjustment, which is discontinuous at zero due to set-up costs. In these cases the payoff functions of the...

A new model for equilibria at the interface of a sparingly soluble crystal is reviewed. It provides that several kinds of equilibria are present and each type is characterized by (i) a set of species that are transported across the phase boundary, (ii) a set · of chemical reactions which describe this transport process, and (iii) a set of thermodynamic expressions which define equilibrium. Thre...

The huge number of possible combinations of binary mixtures of alcohols and ionic liquids (ILs) make the exhaustive measurement of all these ystems impracticable requiring the use of a predictive model for their study. In this work, the predictive capability of COSMO-RS, a model based n unimolecular quantum chemistry calculations, was evaluated for the description of the liquid–liquid equilibri...

For mass action kinetics, the capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred tank reactor is determined by the structure of the underlying network of chemical reactions. We suggest a new graph-theoretical method for discriminating between complex reaction networks that can admit multiple equilibria and those that cannot. In particular, we associate with ea...

Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kinetics. For reaction networks possessing a thermodynamic equilibrium we derive a compact formulation exhibiting at the same time the structure of the complex graph and the stoichiometry of the network, and which admits...

We propose the recent notion of rewriting game theory as a tool for studying biochemical systems. Rewriting game theory is based on a discrete and dynamic notion of Nash-style equilibria for games without structural constraints and with arbitrary payoff values. Our aim here is to show how the formalism can be used to characterise biological information as logical properties of a purely chemical...

The slope of the three-isotope plot for the isotopomer fractionation by direct or nearly direct photodissociation is obtained using a perturbation theoretical analysis. This result, correct to first order in the mass difference, is the same as that for equilibrium chemical exchange reactions, a similarity unexpected a priori. A comparison is made with computational results for N2O photodissocia...

We consider the relationship between stationary distributions for stochastic models of chemical reaction systems and Lyapunov functions for their deterministic counterparts. Specifically, we derive the well known Lyapunov function of chemical reaction network theory as a scaling limit of the non-equilibrium potential of the stationary distribution of stochastically modeled complex balanced syst...