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Year 2020, Volume: 3 Issue: 4, 179 - 184, 30.12.2020

Abstract

References

  • [1] J.P. Aubin, Coeur et valeur des jeux flous á paiements latéraux, Comptes Rendus de l’Académie des Sciences 279:891-894, (1974)
  • [2] J.P. Aubin, Cooperative fuzzy games, Mathematics of Operations Research 6:1-13, (1981)
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  • [9] M. Voorneveld, A. van den Nouweland, A new axiomatization of the core of games with transferable utility. Economics Letters, 60:151–155, (1998)

On the mixed reduction: an alternative axiomatization of the fuzzy NTU core

Year 2020, Volume: 3 Issue: 4, 179 - 184, 30.12.2020

Abstract

In the framework of fuzzy non-transferable-utility (NTU) games, Hwang [5], and Liao [6] introduced several extensions of reduced games and related consistency properties due to [3], Serrano and Volij [8] and Voorneveld and van den Nouweland [9], respectively. Different from the axiomatic results due to Hwang [5], and
Liao [6], this paper is devoted to propose a mixed reduction and related consistency property to characterize the core on fuzzy non-transferable-utility (NTU) games.





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References

  • [1] J.P. Aubin, Coeur et valeur des jeux flous á paiements latéraux, Comptes Rendus de l’Académie des Sciences 279:891-894, (1974)
  • [2] J.P. Aubin, Cooperative fuzzy games, Mathematics of Operations Research 6:1-13, (1981)
  • [3] Davis M, Maschler M (1965) The kernel of a cooperative game. Naval Research Logistics Quarterly 12:223-259
  • [4] J.C. Harsanyi, A bargaining model for the cooperative n-person game, In Contributions to the Theory of Games IV (Annals of Mathematics Studies 40), e.d. by A.w. Tucker and R.D. Luce Princeton: Princeton University Press, 325–355, (1959)
  • [5] Y.A. Hwang, Fuzzy games: a characterization of the core, Fuzzy Sets and Systems 158:2480-2493, (2007)
  • [6] Y.H. Liao, Consistency and the core for fuzzy non-transferable-utility games. Economics Bulletin 3(45):1-6, (2008)
  • [7] B. Peleg, An axiomatization of the core of cooperative games without side payments. Journal of Mathematical Economics, 14:203–214, (1985)
  • [8] R. Serrano, O. Volij, Axiomatizations of neoclassical concepts for economies. Journal of Mathematical Economics 30:87–108, (1998)
  • [9] M. Voorneveld, A. van den Nouweland, A new axiomatization of the core of games with transferable utility. Economics Letters, 60:151–155, (1998)
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Wei-shih Du

Pang-tung Liu

Yu-hsien Liao This is me

Publication Date December 30, 2020
Published in Issue Year 2020 Volume: 3 Issue: 4

Cite

APA Du, W.-s., Liu, P.-t., & Liao, Y.-h. (2020). On the mixed reduction: an alternative axiomatization of the fuzzy NTU core. Results in Nonlinear Analysis, 3(4), 179-184.
AMA Du Ws, Liu Pt, Liao Yh. On the mixed reduction: an alternative axiomatization of the fuzzy NTU core. RNA. December 2020;3(4):179-184.
Chicago Du, Wei-shih, Pang-tung Liu, and Yu-hsien Liao. “On the Mixed Reduction: An Alternative Axiomatization of the Fuzzy NTU Core”. Results in Nonlinear Analysis 3, no. 4 (December 2020): 179-84.
EndNote Du W-s, Liu P-t, Liao Y-h (December 1, 2020) On the mixed reduction: an alternative axiomatization of the fuzzy NTU core. Results in Nonlinear Analysis 3 4 179–184.
IEEE W.-s. Du, P.-t. Liu, and Y.-h. Liao, “On the mixed reduction: an alternative axiomatization of the fuzzy NTU core”, RNA, vol. 3, no. 4, pp. 179–184, 2020.
ISNAD Du, Wei-shih et al. “On the Mixed Reduction: An Alternative Axiomatization of the Fuzzy NTU Core”. Results in Nonlinear Analysis 3/4 (December 2020), 179-184.
JAMA Du W-s, Liu P-t, Liao Y-h. On the mixed reduction: an alternative axiomatization of the fuzzy NTU core. RNA. 2020;3:179–184.
MLA Du, Wei-shih et al. “On the Mixed Reduction: An Alternative Axiomatization of the Fuzzy NTU Core”. Results in Nonlinear Analysis, vol. 3, no. 4, 2020, pp. 179-84.
Vancouver Du W-s, Liu P-t, Liao Y-h. On the mixed reduction: an alternative axiomatization of the fuzzy NTU core. RNA. 2020;3(4):179-84.