Buildings have considerable impacts on the environment; it has become necessary to pay more attention to environmental performance in building design. A green building is an outcome of a design philosophy which focuses on increasing the efficiency of resource use - energy, water, and materials. However, it is a difficult task to find better green building design satisfying several conflicting criteria, especially, economical and environmental performance.
Forecasting the sustainability performance of a building during the early design process is important to assess and rehearse the potential environmental impacts and cost of effective energy efficient of a building. Developer and consultant are the parties who make decision on green building design selection, often have conflicting preference for building design, where developer are looking for profitability design while consultant are concern in sustainability. Moreover decision maker’s risk behaviour had influence decision making and makes decision making a complex task. A multi-agent decision making system is required to solve problems in selecting the best designs for most sustainable in environmental and economics profitable green building design. Hence, a decision making trade-off tool is necessary to enable each decision maker to evaluate and rank the solution alternatives.
This paper presents a conceptual model in simulated the risk behaviour of decision maker to influence the decision making by using 3 difference process. The processes allow decision makers to assess the green building cost and effectiveness of performance of different design alternatives during the early design stage. The first approach is based on benefit cost analyses which is a tool to analysis the sustainability to environment impact and cost profitability of the alternative green building designs. The second process is multi criteria decision process which Analytic Hierarchy Process is a tool for identifying each decision maker preference and the consequences of preference weights will apply to utility theory to identify decision maker’s risk behaviours. Two-person nonzero sum game model has been used for developing a interaction of decision making process base on both decision maker utilities to determining satisfy solution and the interaction between them with different risk behaviour. The results of the case study show the consultant plays an important role in influencing the developer’s choice of selecting a desirable green building design alternative and the arbitrary of developer in selecting the green design alternative which developer decision is subjective base on the decision of consultant.

Alvin Scodel, J. Sayer Minas, Philburn Ratoosh and Milton Lipetz (1959), “Some descriptive aspects of two-person non-zero-sum games” Journal of Conflict Resolution 1959; 3; 114
Bernd Rohrmann (2004), “Risk Attitude Scales: Concepts and Questionnaires”, Project Report University of Melbourne, Australia
BSRIA (2009), Building Services Research and Information Association, http://www.bsria.co.uk/training-and-events/details/understanding-breeam/
California State and Consumer Services Agency and Sustainable Building Task Force (2001), “Building Better Buildings: A Blueprint for Sustainable State Facilities”, California
Chris W. Scheuer and Gregory A. Keoleian (2002), “Evaluation of LEED Using Life Cycle Assessment Methods”, National Institute of Standards and Technology, US
Cole, R.J., 1999. “Building Environmental Assessment Methods: Clarifying Intentions”, Building Research and Information 27 (4/5), 230–246.
Cullinane Kevin (1991), “The utility analysis of risk attitudes in shipping”, Maritime Policy & Management, 18: 3, pp.157 -169
Craig W. Kirkwood, (1991), “Notes On Attitude Toward Risk Taking And The Exponential Utility Function” Department of Management, Arizona State University, USA.
Craig W. Kirkwood, (2002), “Approximating Risk Aversion in Decision Analysis Applications” Department of Supply Chain Management, Arizona State University, USA.
Crookes, D. and de Wit, M., (2002), “Environmental economic valuation and its application in environmental assessment: an evaluation of the status quo with reference to South Africa”. Impact Assessment and Project Appraisal, June, pp. 127–134.
D. Paladino & Company, Inc (2000), “Cost Benefit Analysis of LEED model building”
Ding, G.K.C. (2008), “Sustainable construction - The role of environmental assessment tools”, Journal of environmental management 86, pp.451-464
Expert Choice, Inc., Expert Choice software and manual. 4922 Elsworth Ave., Pittsburgh, PA 15213, USA
Emmanuel N. Barron (2008), “Game Theory: An Introduction” John Wiley & Sons, Inc., New York.
Frost & Sullivan (2009), “Green Buildings - A Strategic Analysis of the Asia Pacific Markets”, Frost & Sullivan's Building Management Technologies Growth Partnership Service program
Gensler.co (2003), “Building Design and Construction: White Paper On Sustainability”, U.S. General Services Administration, US
Geof Syphers (2003), “Managing the Cost of Green Buildings”, State of California’s Sustainable Building Task Force, the California State and Consumer Services Agency and the Alameda County Waste Management Authority
“Green Building Market Report 2008: Green Horizon for Malaysia’s buildings” BCI Asia Construction Information Pte Ltd
Gregory H. Kats (2003), “Green Building Costs and Financial Benefits”, Environmental Business Council of New England, Inc.
H. Kawasaki (2003), “Conjugate-Set Game For A Nonlinear Programming Problem”, Kyushu University, Japan
J. von Neumann and D. Morgenstern (1944), “The Theory of Games in Economic Behavior”, New York, Wiley
J. Wang, and S. Zionts (2008), “Negotiating wisely, considerations based on MCDM/MAUT”, European Journal of Operation Research 188, pp.191-205
Jerzy A. Filar and Todd A. Schultz (1986), “Nonlinear Programming and Stationary Strategies in Stochastic Games”, Mathematical Programming pp. 243-247 North-Holland
Ji, S., Liang, Y., Xiao, X., Li, J., and Tian, Q. (2007), “An attitude-adaptation negotiation strategy in electronic market environments”, IEEE Computer Sociaety, pp.125-130.
Jinwu Gao, Zhi-Qiang Liu and Yan-Kui Liu (2007), “Equilibrium Strategies of Two-Player Nonzero-Sum Games with Fuzzy Payoffs”, IEEE.
John Harris Plumlee (2004), “Multi-Input Ground Vehicle Control Using Quadratic Programming Based Control Allocation Techniques”, B.S.M.E., Auburn University, Alabama
LEED 2009, U.S. Green Building Council
Loh,E., Dawood, N., Crosbie, T., Dean, J. (2009), “Environmental Assessment Trade-Off Tool To Support Multi-Decision maker Decision On Material Procurement And Sustainable Building Design”, University of Teesside, England
M. Morge and P. Beaune (2004), “A negotiation support system based on multi-agent system: specify & preference relation on arguments”, ACM Symposium on Applied Computing
M. Morge and P. Beaune (2004), “A negotiation support system based on multi-agent system: specify & preference relation on arguments”, ACM Symposium on Applied Computing
M. Simaan, J. B. Cruz & JR. (1973), “On the Stackelberg Strategy in Nonzero.Sum Games”, Journal Of Optimization Theory And Applications: Vol. I I, No. 5, 1973
N.K. Larsson, (1999), “Development of a building performance rating and labelling system in Canada”, Building Research and Information 27 (4/5) (1999), pp. 332–341.
Nash, J. F. Econometrica, 1953, 21, 128
Nishizaki Ichiro, Katagiri Hideki and Notsu Takuma (2004), “Equilibrium Solutions of Two-Person Non-Zero-Sum Games in Extensive Form and The Corresponding Quadratic Programming Problems”, Journal Of Science Link Japan Vol.17;No.7;pp.263-269
O.L.Mangasarian & H.Stone (1964), “Two-Person Nonzero-Sum Games and Quadratic Programming”, Journal of Mathematical Analysis and Applications, pp.348-355
Prakash P. Shenoy (1980), “A two-person non-zero-sum game &ode1 of the world oil market”, IPC Business Press, Appl. Math. Modelling, Vol 4, August pp. 295-300
R. V. Rao (2007), “Decision making in the Manufacturing Environment using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods”, Springer, London
Richard E. Zigenfus (2008), “Element Analysis of the Green Building Process” Rochester Institute of Technology, NY
S. Chandra, B. D. Craven and B. Mond (1985), “Nonlinear Programming Duality and Matrix Game Equivalence, Journal of Australian Mathematical Society”, pp. 422-429
S.N. Tucker et. al (2003), “LCADesign: An Integrated Approach to Automatic Eco-Efficiency Assessment of Commercial Buildings”, CSIRO Manufacturing and Infrastructure Technology, Melbourne
Saaty T.L. (1996), “The Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process”, volume IV of AHP Series. RWS Publications, Pittsburg
Saaty TL. (1980), “The Analytic Hierarchy Process”, New York: McGraw Hill
Saaty TL. (1985), “Decision Making For Leaders”, Belmont, California: Life Time Leaning Publications
Saaty TL. (1990), “How To Make A Decision: The Analytic Hierarchy Process”, European Journal of Operational Research, North-Holland1990;48, pp.9-26.
Saied Yousefi (2009), “Attitude-Based Strategic and Tactical Negotiations for Conflict Resolution in Construction”, University of Waterloo, Canada
SBW Consulting, INC.(2003), “Achieving Silver LEED: Preliminary Benefit-Cost Analysis for Two City of Seattle Facilities”, Seattle Office Of Sustainability And Environment, US
Sim B Sitkin and Laurie R. Weingart (1995), “Determinants of Risky Decision-Making Behavior: A Test of the Mediating Role of Risk Perceptions and Propensity”, The Academy of Management Journal, Vol. 38, No. 6 pp. 1573-1592
Sim B. Sitkin and Amy L. Pablo (1992), “Reconceptualising the Determinants of Risk Behavior”, The Academy of Management Review, Vol. 17, No. 1, pp. 9-38
Steven L. Green (2002), “Rational Choice Theory: An Overview”, Baylor University, US
T. Wanyama (2006), “Decision support for COTS selection”, University of Calgary, Canada
T. Wanyama, and B.H. Far (2007), “A protocol for multi-agent negotiation in a group-choice decision-making”, Journal of Network and Computer Applications 30, pp.1173-1195
Tinne Hoff Kjeldsen (2000), “The Emergence of Nonlinear Programming: Interactions Between Practical Mathematics and Mathematics Proper”, The Mathematical Intelligencer, Springer-Verlag New York, pp. 50-55
Weimin Wang et. al (2005), “An object-oriented framework for simulation-based green building design optimization with genetic algorithms”, Advanced Engineering Informatics 19 (2005) 5–23
Xin Li and Leen-Kiat Soh (2004), “Applications of Decision and Utility Theory in Multi-Agent Systems”, University of Nebraska - Lincoln
Zhang, X., Lesser, V., and Podorozhny, R. (2005), “Multi-dimensional, multi-step negotiation”, Journal of Autonomous Agents and Multi-Agent Systems, Vol. 10, No. 1, pp. 5-40.