Some models of demand for benefits, offered by an enterprise

The authors studied the process of merging insured groups, and the splitting of the profit that arises in the process due to the fact that the risk for the merged group is essentially reduced. There emerges a profit and there are various ways of splitting this profit between the combined groups. Techniques from game theory, in particular cooperative game theory turn out to be useful in splitting of the profit. The authors proceed in this paper to apply techniques of utility theory to study the possibility of a fair split of that profit. In this research, the authors consider a group of n parties 1,...,n such that each of them has a corresponding utility function u₁(x),...,u_n(x) . Given a positive amount of money C, a fair split of C is a vector (c₁,...,c_n) in Rⁿ, such that c₁ +...c_n = C and u₁(c₁) = u₂(c₂) = ... = u_n(c_n). The authors presume the utility functions to be normalized, that is u_i(c) = 1 for each party i, i = 1, ... ,n. The authors show that a fair split exists and is unique for any given set of utility functions u₁(x), ..., u_n(x), and for any given amount of money C. The existence theorem follows from observing simplexes. The uniqueness follows from the utility functions being strictly increasing. An example is given of normalizing some utility functions, and evaluating the fair split in special cases. In this article, the authors study the case of merging two groups (or more) of insured members, they provide an evaluation of the emerging benefit in the process, and the splitting of the benefit between the groups.

Information technology is an effective tool for substantiating management decisions in any field of activity, including the economy. One of the most important characteristics of the functioning of economic agents in a market is the structure of their capital because the interest of foreign investors in the business entity depends directly on the balance of this structure. Therefore, the process of managing the capital structure of a business unit needs special attention both in terms of sustainable development and during the crisis. Given the mentioned above, the object of the study is the process of managing the enterprise capital structure. The study aims to improve the methodological support of the process of managing the enterprise capital structure taking into account the dynamics of the parameters of the external environment of its operation. As for the results of the research, the EPC diagram of the optimization process of the enterprise capital structure was developed. Due to the use of the vector graphic editor MS Visio, this model allows visually displaying the scenario of a financial manager’s activity during performance of his duties on the modeled subject area; the methodical approach to assessing the sustainability of capital structure management based on the building of Shewhart quality maps was suggested. Such maps enable to identify typical (optimal, preventive and control) values of the components of the capital structure of an entrepreneurial unit; methodical recommendations for operative management on an enterprise capital structure at the innovation and investment stage of its development were developed. They are based on the use of a method of linear programming. They allow defining possible deviations of capital structure indicators while retaining the control of the chosen strategy of its development.