154 ISBN 978-9955-28-482-6 M. Grasserbauer, L. Sakalauskas, E. K. Zavadskas (Eds.): KORSD-2009 Selected papers. Vilnius, 2009, pp. 154–158 © Institute of Mathematics and Informatics, 2009 © Vilnius Gediminas Technical University, 2009 The Values of the Equilibrium Point for the Sustainable Decision Making in Construction Edmundas Kazimieras Zavadskas 1 , Friedel Peldschus 2 , Zenonas Turskis 3 , Jolanta Tamosaitiene 4 1, 3, 4 Vilnius Gediminas Technical University, Sauletekio av. 11, LT-2040 Vilnius, Lithuania 2 Leipzig University of Applied Sciences, Karl-Liebkneckt 132, 04277 Leipzig, Germany E-mail: 1 edmundas.zavadskas@adm.vgtu.lt; 2 peldschu@fbb.htwk-leipzig.de; 3 zenonas.turskis@st.vgtu.lt; 4 jolanta.tamosaitiene@st.vgtu.lt; Abstract: Different methods for the solution of decisive duties are known. Inclusively one can make a distinction for the numerical solution in a one-sided and a two-sided problem. Besides, the calculation of an equilibrium point with a play-theoretical solution counts to the two-side problem. This solution differs from the one-sided question by bigger information content. While one is content with the one-sided problem with the assessment of the variations, an as- sessment of the criteria also occurs with the two- side problem. This statement can deliver valuable tips for appraisal of a complicated job. The numerical calculation occurs with the the- ory of the matrix plays. Keywords: Game theory, equilibrium point, building site, assessment. 1 Introduction For the solution of decisive duties different methods are known. Inclusively one can make a distinction for the numerical solution in a one-sided and a two-sided problem. Besides, the calculation of a equilibrium point with a play-theoretical solution counts to the two- side prob- lem. This solution differs from the one-sided problem by bigger information content. While one is content with the one-sided question with the assessment of the variations, an assessment of the criteria also occurs with the two-side problem. This statement can deliver valuable tips for ap- praisal of a complicated job. The numerical calculation occurs with the theory of the matrix plays. The game theory can by used for sustainable decision making. In this case is very impor- tant to find the equilibrium point for the sustainable decision making. 2 Game theory Game theory analysed many researches: Peldschus et al. (1983). Peldschus (1986, 2007a, b) analysed the effectiveness of assessments in multi-criteria decision. Zavadskas et al. (2003) develop the software for multiple criteria evaluation. Peldschus and Zavadskas (2005) developed fuzzy matrix games. Zavadskas and Turskis (2008) developed a new logarithmic normalization method in games theory. Zavadskas et al. (2008) developed multi-criteria optimization software 5 th International Vilnius Conference EURO Mini Conference “Knowledge-Based Technologies and OR Methodologies for Strategic Decisions of Sustainable Development” (KORSD-2009) September 30–October 3, 2009, Vilnius, LITHUANIA