In this paper we study the influence of academic and administrative contracts on the quality of hiring in the case when the choice of an academic position is a strategic one for a professor. Successful functioning of a university requires effective hiring. Since the talent of candidates at academic market is often unobservable for the university executive, the hiring is delegated to those who are better informed. Usually the most informed agents are heads of departments. In some universities such administrative positions are permanent, while in others universities there is a regular rotation. Moreover in higher education both short term academic contracts and tenure contracts are present. Using a game theoretical model we study the emergence of moral hazard in hiring under different contract systems. We show that professors with low level of academic talent do not want to risk their career in case of a short academic term contract. Use of a short term administrative contract in this case negatively affects their stimulus for hiring more talented candidates, hence, the development of university is hindered. It is shown that both tenure contract and long term administrative contact without a right of termination permit to mitigate this problem and result in hiring of more talented candidates. The constructed model provides a possible explanation for rotation of heads of department in some universities and for existence of practically permanent heads of department in other universities
The article analyzes one of the specific reasons for the low accuracy of the overall economic equilibrium models: the discrepancy model balances their statistical counterparts. A method by which you can solve the problem in conscious disregard of the model of statistical variables, while maintaining the validity of the balance sheet ratios. It is shown that due to the introduction of a model of a small number of additional variables, it is possible to adapt the sometimes excessively detailed statistics for a particular model and its system of indicators, so that at the model level and balance equality persisted.
By the model of firm-manufacturer (part of general equilibrium model) it is shown that it is possible to restore the entire system of balance sheet ratios, containing information on the cash flow statement, revaluation and balance sheet accounts at the proper recording of financial balance sheets in the model. In the presented model, the firm maximizes the utility of dividend flow at basic prices by controlling the trajectories of output, investment, cash balances, the volume of accumulated debt and currency reserves.
L’autore di questo saggio storico introduce il lettore russo ai modelli matematici della Scuola Milanese della seconda metà del XVIII secolo. Questi modelli dei fondatori italiani dell’economia matematica sono poco conosciuti in Russia.
In the article the attempt to clarify a question about the way of firm’s behavior description and her relations with her owners in the general equilibrium models with the help of idea of welfare problem decomposition is made. The general scheme of decomposition is suggested. The scheme generates a whole range of mechanisms, including the mechanism of share capital, which allows to describe stock market in the general equilibrium models.
In the article (Belousov F.A., 2017), the model with the simplest social structure was built and studied. In the model agents are divided into two types - nomads and plowmen, each of which is distinguished by its attitude to the method of production of the product. If plowmen can independently reproduce product, then nomads are not endowed with such skills, instead they have the ability to find such a product in the area, including taking it away from plowmen. In mentioned article, the question of extinction of one of the civilizations was studied, and the question of the coexistence of these civilizations in a single space during the observed period also was studied. The scientific novelty of this work lies in the development of the original model of nomads and plowmen and addition of new conditions associated with restrictions on movement of agents. In the new modification, agents are forbidden to move away from their place of birth beyond a certain exogenously specified distance during their lifetime. Due to the fact that the original model is rather the model of ancient society, its modification largely reflects the socio-demographic processes that took place in ancient times. The ancient people, perhaps with rare exceptions, did not have the opportunity to travel long distances and they were somehow tied to their place of birth and permanent habitat. A series of experiments was carried out, the ranges of values of the parameter introduced into the model, under which different qualitative dynamics of the entire system is observed, were determined. The value of this work is added by the fact that the access to more productive computing power has allowed to carry out better calculations. Thus, in the initial model, calculations were carried out for a length of 4000 periods of model time; in the new model, this characteristic grew to 15,000 and 20,000 periods. Such growth of this indicator allows to reveal new qualitative dynamics not only in the new presented modification, but also in the original model of nomads and plowmen.