Software market is considered as a new object for the mathematical economics. A statistical study of the server operating systems market is provided, static and dynamic models of for-profit and non-for-profit software developers mixed duopoly are built (taking into account market growth,...

A survey of the results relating to the application of gross substitutability in economic equilibrium theory. The topics considered include existence and uniqueness of equilibrium, comparative statics, coalition stability, and stability of price-adjustment tatonnement processes. The main...

We develop a turnpike theory for a class of dynamic general equilibrium models where total demand function satisfy monotonicity conditions. As special cases, we receive well known results about asymptotic behavior of optimal paths.

A general concept of bibliometric equilibrium is introduced and a model describing its special case is proposed. The model considers a set of authors who choose strategies of submitting their papers to a set of journals, taking into account the probabilities of accepting the papers and the...

The article considers the prospects for the use of the index ratings in predicting socio-economic development of the Russian Federation, critically analyzes the existing methods of indicative planning and the ways of solving problems facing the practice of regional management tasks.

In this paper, a new concept of "limit information" is introduced and studied for Arrow-Debreu type economies with asymmetrically informed agents. The concept is based on the so-called contractual approach that presumes that agents meet and form coalitions, where the concurrent exchange of...

A new concept of contract-based domination by coalitions for competitive economies is proposed and studied in the paper. This concept is based on the notion of (barter) contract (an elementary exchange of commodities). Here classical coalitions domination is transferred onto systems (webs) of...

A sequential truel is a generalisation of duel. This type of games is known because of the «survival of the weakest» paradox, where weakest player have the highest probability of survival. We analyse a typical variation of this model, in which players are allowed to shoot in the air. We show...