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Conflict Resolution in Construction Projects Using Nonzero-Sum Fuzzy Bimatrix Games

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Abstract

The large damages that result from construction conflicts due to delays, cost overruns and decreasing productivity justify developing new models and decision support systems for resolving conflicts in large construction projects. Since most games take place in uncertain environments, the payoffs cannot be exactly assessed in many real-world problems. In these games, the uncertainty is mainly due to the inaccuracy of information and fuzzy comprehension of situations by players. In such cases, it is reasonable to model the problems as games with fuzzy payoffs. In this paper, two methodologies are proposed for conflict resolution in construction projects using nonzero-sum games with fuzzy payoffs. The first methodology transforms the original matrix game into a family of its α-cut equivalents. The second methodology introduces fuzzy goals for payoffs in order to incorporate ambiguity of player’s judgments. In this game, each player tries to maximize the degree of attainment of his fuzzy goal. The methodologies are applied to a large oil project in the Persian Gulf. The results show that the proposed methodology can be effectively used for resolving contractual conflicts between owners and contractors in a construction project.

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Source: Adapted from (Nishizaki and Sakawa 2000)

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References

  • Aliahmadi A, Sadjadi SJ, Jafari-Eskandari M (2011) Design a new intelligence expert decision making using game theory and fuzzy AHP to risk management in design, construction, and operation of tunnel projects (case studies: resalat tunnel). Int J Adv Manuf Technol 53(5):789–798

    Article  Google Scholar 

  • Barough AS, Shoubi MV, Skardi MJE (2012) Application of game theory approach in solving the construction project conflicts. Procedia Soc Behav Sci 58(12):1586–1593

    Article  Google Scholar 

  • Barrie DS, Paulson BC (1992) Professional construction management: including CM, design-construct and general contracting, 3rd edn. McGraw-Hill Inc, New York

    Google Scholar 

  • Basar TB, Olsder GJ (1999) Dynamic noncooperative game theory, 2nd edn. SIAM, Philadelphia

    MATH  Google Scholar 

  • Bazaraa MS, Shetty C (1979) Nonlinear programming: theory and algorithms. Wiley, New York

    MATH  Google Scholar 

  • Ghodsi SH, Kerachian R, Estalaki SM, Nikoo MR, Zahmatkesh Z (2016) Developing a stochastic conflict resolution model for urban runoff quality management: application of Info-gap and bargaining theories. J Hydrol 533(1):200–212

    Article  Google Scholar 

  • Ho SP (2001) Real options and game theoretic valuation, financing, and tendering for investments on build-operate-transfer projects. Ph.D. thesis, Department of Civil and Environmental Engineering, University of Illinois at Urbana–Champaign, Urbana, IL

  • Ho SP, Liu L (2004) Analytical model for analyzing construction claims and opportunistic bidding. J Constr Eng Manage 130(1):94–104

    Article  Google Scholar 

  • Jafarzadegan K, Abed-Elmdoust A, Kerachian R (2013) A fuzzy variable least core game for inter-basin water resources allocation under uncertainty. Water Resour Manage 27(9):3247–3260

    Article  Google Scholar 

  • Kassab M, Hipel K, Hegaz T (2006) Conflict resolution in construction disputes using the graph model. J Constr Eng Manage 132(10):1043–1052

    Article  Google Scholar 

  • Kerachian R, Fallahnia M, Bazargan-Lari MR, Mansoori A, Sedghi H (2010) A fuzzy game theoretic approach for groundwater resources management: application of Rubinstein bargaining theory. Resour Conserv Recycl 54(10):673–682

    Article  Google Scholar 

  • Khanzadi M, Turskis Z, Ghodrati Amirim G, Chalekaee A (2017) A model of discrete zero-sum two-person matrix games with grey numbers to solve dispute resolution problems in construction. J Civ Eng Manage 23(6):824–835

    Article  Google Scholar 

  • Mahjouri N, Pourmand E (2017) A social choice-based methodology for treated wastewater reuse in urban and suburban areas. Environ Monit Assess 189(7):325

    Article  Google Scholar 

  • Mitropoulos P, Howell G (2001) Model for understanding, preventing, and resolving project disputes. J Constr Eng Manage 127(3):223–231

    Article  Google Scholar 

  • Nash J (1950) Equilibrium points in n-person games. Proc Natl Acadmy Sci 36:48–49

    Article  MathSciNet  Google Scholar 

  • Nash J (1951) Non-cooperative games. Ann Math 54:286–298

    Article  MathSciNet  Google Scholar 

  • Nasirzadeh F, Mazandaranizadeh H, Rouhparvar M (2016) Quantitative risk allocation in construction projects using cooperative-bargaining game theory. Int J Civ Eng 14:161

    Article  Google Scholar 

  • Niksokhan MH, Kerachian R, Karamouz M (2009) A game theoretic approach for trading discharge permits in rivers. Water Sci Technol 60(3):793–804

    Article  Google Scholar 

  • Nishizaki I, Sakawa M (2000) Equilibrium solutions in multiobjective bimatrix games with fuzzy payoffs and fuzzy goals. Fuzzy Sets Syst 111:99–116

    Article  MathSciNet  Google Scholar 

  • Pena-Mora F, Wang C (1998) Computer-supported collaborative negotiation methodology. J Comput Civ Eng 12(2):64–81

    Article  Google Scholar 

  • Perng YH, Juan YK, Chien ST (2006) Exploring the bidding situation for economically most advantageous tender projects using a bidding game. J Constr Eng Manage 132(10):1037–1042

    Article  Google Scholar 

  • Sadegh M, Mahjouri M, Kerachian R (2010) Optimal inter-basin water allocation using crisp and fuzzy Shapley games. Water Resour Manage 24(10):2291–2310

    Article  Google Scholar 

  • Shen LY, Boa HJ, Wu YZ, Lu WS (2007) Using bargaining-game theory for negotiating concession period for BOT-type contract. J Constr Eng Manage 133(5):385–392

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    Article  Google Scholar 

  • Zimmermann HJ (2001) Fuzzy set theory and its applications, 4th edn. Kluwer Academic Publishers, Boston

    Book  Google Scholar 

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Acknowledgements

This study was partially supported by Pars Oil and Gas Company, Iran. The contribution of managers and experts of this company as well as the technical contribution of Dr. Tahmasb Mazaheri are hereby acknowledged.

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Correspondence to Reza Kerachian.

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Sharif, M., Kerachian, R. Conflict Resolution in Construction Projects Using Nonzero-Sum Fuzzy Bimatrix Games. Iran J Sci Technol Trans Civ Eng 42, 371–379 (2018). https://doi.org/10.1007/s40996-018-0106-3

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  • DOI: https://doi.org/10.1007/s40996-018-0106-3

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