Geodesic
Game-theoretic modeling of the project management contract
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 8 (2016) no. 4, pp. 43-62.

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Two-stage game-theoretic models of the project management contract with random duration of works are considered. On the first stage the center signs the contract for work performance in which it determines the size and the mode of payment with each of contractors, and on the second stage suppliers choose their own work rates. The optimum amount of payments and the expected time of implementation of the project are estimated. Numerical modeling of characteristics of the optimum contract for each mode of payments is carried out. The comparative analysis of results of numerical modeling showed that it is favorable to project manager to choose the contract for suppliers with various payments and the mode of payment for completion of work.
Keywords: project, work, project manager (center), supplier, project management contract, payment regime, payment, project completion time, two-stage game, Stackelberg equilibrium. 
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Nikolay A. Zenkevich; Yury S. Sokolov; Maria V. Fattakhova. Game-theoretic modeling of the project management contract. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 8 (2016) no. 4, pp. 43-62. http://geodesic.mathdoc.fr/item/MGTA_2016_8_4_a3/

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