Analysis of the Possibilities of Using the Wald-Savage Test for the Study of Game Models

Within the framework of this article, the mechanisms for constructing and researching the game model for choosing the investor's optimal investment strategy in various information conditions are disclosed: building many players, building many players' strategies, the option of formalizing the payment function in the form of a game matrix, many optimality criteria, methods of justifying the choice of the strategy optimality criterion. Against the background of the application of classical criteria (Savage criterion, Wald criterion, Hodge-Lehman criterion, Hermeyer criterion), special attention is paid to the analysis of the possibilities of using the integrated Wald-Savage criterion for the study of game models, which allows to smooth the shortcomings of classical criteria and take into account the investor's appetite for risk. Attention is focused on the need to justify the choice of the criterion for the optimality of investment strategies, as well as the need of the researcher to clarify the states of nature and the probabilities of their implementations. The mechanisms for constructing and researching game models presented in this article can be used to improve methodological systems for teaching applied mathematical disciplines at an economic university, to build new variable educational disciplines on modern issues of decision theory, as well as within the framework of the system of advanced training in economics.

New model for the selection of effective wall solutions for residential buildings

Currently, the construction sector is facing requirements for higher quality and efficiency standards as well as objectives related to value creation. In construction, rational decision-making problems often involve creating a unique complex of criteria, which must consider multiple requirements and conditions. The paper presents the developed model for the selection of multi-layered external walls of a residential building. The model considers the following aspects and parameters: time, cost, quality, environmental conditions, aspects of sustainable development, and problemsolving benefits received from the assessment of alternatives and the development of the model. Game theory was used to calculate the defining rational decision. For the calculations was used game theory: Bayes, Wald’s rule, Savage criterion, Laplace’s rule. This study presents the developed model for the selection of multi-layered external walls of a residential building and calculation results based on game-theory rules, which are effective tools for rational decisionmaking.