Abstract

The paper considers the main methods employed to solve one-sided and two-sided problems of the game theory. For the one-sided problems only the method of solution “distance to the ideal point” is discussed. For the two-sided problems a distinction is made between games with rational behaviour and games against nature. The main principles of the strategies are as follows: simple min-max principle, extended min-max principle, Wald's rule, Savage criterion, Hurwicz's rule, Laplace's rule, Bayes's rule, Hodges-Lehmann rule. The questions transforming the decisionmaking matrix are considered: vectorial transformation, linear transformation, linear transformation according to Jüttler's or Stopp's method, non-linear transformation according to Peldschus. The article gives the description of a program package as well as an example of an investment variant estimation. The program LEVI 3.0 is a result of the cooperation between the VGTU and HTWK. This article provides description of a program package as well as an example of investment variant estimation to illustrate the application of methods described; efficiency problem of financial investment in construction or reconstruction in the health resort of Nida (Lithuania) is analysed.

Highlights

  • The economy can grow successfully only being open

  • The questions transforming the decisionmaking matrix are considered: vectorial transformation, linear transformation, linear transformation according to Jiittler's or Stopp's method, non-linear transformation according to Peldschus

  • The program LEVI was developed for calculating production processes in the building sector

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Summary

Introduction

The economy can grow successfully only being open. Expenses for production to pursue profit in future (investment) are very significant for the economy growth. When analysing well-known programs, it is possible to state that authors of programs mostly choose one problem's solution method and one way of decisionmaking matrix transformation [15,16,17]. Results obtained in this way are hardly comparable. The common aim of both methods was to choose an optimal variant for civil engineering process and investments In this new created software there are possibilities with once introduced data to solve problem using different solution methods and decision-making matrix transformation ways. The review of useful information about the applied in program solution methods, decision-making matrix transformation ways and data print properties are included in the help menu. Criterion ratio predicted profit (k6) to project cost price (k4) was determined: k3=k6/k4; After the above-mentioned replacements we have a decision-making matrix (Table 2)

Optimisation direction
Distance to the ideal point
Solution according to Bayes
Conclusions
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