A TRANSITION FROM TWO-PERSON ZERO-SUM GAMES TO COOPERATIVE GAMES WITH FUZZY PAYOFFS

سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 105

فایل این مقاله در 11 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJFS-15-7_010

تاریخ نمایه سازی: 17 خرداد 1401

چکیده مقاله:

In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoffs against Nature at which players' combine their strategies and act like a single player. It is also proven that, the fuzzy characteristic function that is constructed in this way satisfies the superadditivity condition. Thus we considered a transition from two-person zero-sum games with fuzzy payoffs to cooperative games with fuzzy payoffs. The fair allocation of the maximum payoff (game value) of this cooperative game among players is done using the Shapley vector.

نویسندگان

Adem C. Cevikel

Yildiz Technical University,, Education Faculty,, Department of Mathematics Education,, Istanbul-Turkey

Mehmet Ahlatcioglu

Yildiz Technical University,, Art-Science Faculty,, Department of Mathematics,, Istanbul-Turkey

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • J. P. Aubin, Mathematical Methods of Game and Economic Theory, ...
  • J. P. Aubin, Cooperative fuzzy game, Math. of Oper. Res., ...
  • C. R. Bector, S. Chandra and V. Vijay, Duality in ...
  • J. J. Buckley, Multiple goal non-cooperative conflicts under uncertainty: a ...
  • D. Butnariu, Fuzzy games: A description of the concept, Fuzzy ...
  • A. C. Cevikel and M. Ahlatcioglu, Solutions for fuzzy matrix ...
  • D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory ...
  • D. Fudenberg and J. Tirole, Game Theory, The MIT Press, ...
  • J. C. Harsanyi and R. Selten, A General Theory of ...
  • D. F. Li, A fuzzy multiobjective approach to solve fuzzy ...
  • D. F. Li, Fuzzy constrained matrix game with fuzzy payoffs, ...
  • T. Maeda, On characterization of equilibrium strategy of two person ...
  • I. Nishizaki and M. Sakawa, Equilibrium solutions for multiobjective bimatrix ...
  • I. Nishizaki and M. Sakawa, Equilibrium solutions in multiobjective bimatrix ...
  • A. A. Omar, M. Al-Smadi, M. Shaher, et al., Numerical ...
  • A. A. Omar, M. Al-Smadi, M. Shaher, et al., Application ...
  • A. A. Omar, Adaptation of reproducing kernel algorithm for solving ...
  • G. Owen, Game Theory, Academic press, San Diego, Third edition, ...
  • M. Sakawa and I. Nishizaki, Two person zero sum games ...
  • M. Sakawa and I. Nishizaki, Max-min solutions for fuzzy multiobjective ...
  • L. S. Shapley, A value for n-person games, in H.W. ...
  • H. J. Zimmermann, Fuzzy Sets, Decision Making, and Expert Systems, ...
  • نمایش کامل مراجع