Free Access
Issue |
RAIRO-Oper. Res.
Volume 55, Number 2, March-April 2021
|
|
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Page(s) | 395 - 413 | |
DOI | https://doi.org/10.1051/ro/2021002 | |
Published online | 23 March 2021 |
- K. Abalo and M. Kostreva, Some existence theorems of nash and berge equilibria. Appl. Math. Lett. 17 (2004) 569–573. [Google Scholar]
- K. Abalo and M. Kostreva, Berge equilibrium: some recent results from fixed-point theorems. Appl. Math. Comput. 169 (2005) 624–638. [Google Scholar]
- J.E. Abdou, E. Safatly, B. Nakhle and A. El Khoury, High-dimensional nash equilibria problems and tensors applications. Int. Game Theory Rev. 19 (2017) 1750015. [Google Scholar]
- B.W. Bader, T.G. Kolda, et al. Matlab tensor toolbox version 2.6. Available online (2015). [Google Scholar]
- C. Berge, Théorie générale des jeux à n personnes. In Vol. 138 of Mémorial des sciences mathématiques. Gauthier-Villars (1957). [Google Scholar]
- R. Bishop and S. Goldberg, Tensor analysis on manifolds. Dover Books on Mathematics. Dover Publications (1968). [Google Scholar]
- B.R. Cobb and T. Sen, Finding mixed strategy nash equilibria with decision trees. Int. Rev. Econ. Edu. 15 (2014) 43–50. [Google Scholar]
- A.M. Colman, T.W. Körner, O. Musy and T. Tazdaït, Mutual support in games: some properties of berge equilibria. J. Math. Psychol. 55 (2011) 166–175. [Google Scholar]
- H.W. Corley, A mixed cooperative dual to the nash equilibrium. Game Theory 2015 (2015) 7. [Google Scholar]
- P. Courtois, R. Nessah and T. Tazdaït, How to play games? Nash versus berge behaviour rules. Econ. Philos. 31 (2015) 123–139. [Google Scholar]
- P. Courtois, R. Nessah and T. Tazdaït, Existence and computation of berge equilibrium and of two refinements. J. Math. Econ. 72 (2017) 7–15. [Google Scholar]
- B. Crettez, A new sufficient condition for a berge equilibrium to be a Berge-Vaisman equilibrium. J. Quant. Econ. 15 (2017) 451–459. [Google Scholar]
- B. Crettez, On sugden’s ``mutually beneficial practice’’ and berge equilibrium. Int. Rev. Econ. 64 (2017) 357–366. [Google Scholar]
- B. Crettez, Unilateral support equilibrium, berge equilibrium, and team problems solutions. J. Quant. Econ. 17 (2019) 727–739. [Google Scholar]
- B. Crettez and R. Nessah, On the existence of unilateral support equilibrium. Math. Soc. Sci. 105 (2020) 41–47. [Google Scholar]
- D. Fudenberg and J. Tirole, Game Theory. MIT Press, Cambridge, MA, USA (1991). [Google Scholar]
- R. Gibbons, Game Theory for Applied Economists. Princeton University Press, Princeton, NJ, USA (1992). [Google Scholar]
- Z.-H. Huang and L. Qi, Formulating an n-person noncooperative game as a tensor complementarity problem. Comput. Optim. Appl. 66 (2017) 557–576. [Google Scholar]
- H.A.L. Kiers, Towards a standardized notation and terminology in multiway analysis. J. Chemom. 14 (2000) 105–122. [Google Scholar]
- T.G. Kolda and B.W. Bader, Tensor decompositions and applications. SIAM Rev. 51 (2009) 455–500. [Google Scholar]
- M. Larbani and R. Nessah, A note on the existence of berge and berge-nash equilibria. Math. Soc. Sci. 55 (2008) 258–271. [Google Scholar]
- Y. Li, Centering, trust region, reflective techniques for nonlinear minimization subject to bounds. Technical report, Ithaca, NY, USA (1993). [Google Scholar]
- O. Musy, A. Pottier and T. Tazdaït, A new theorem to find berge equilibria. Int. Game Theory Rev. 14 (2012) 1250005. [Google Scholar]
- J.F. Nash, Equilibrium points in n-person games. Proc. Nat. Acad. Sci. 36 (1950) 48–49. [Google Scholar]
- R. Nessah and M. Larbani, Berge-Zhukovskii equilibria: existence and characterization. Int. Game Theory Rev. 16 (2014) 1450012. [Google Scholar]
- R. Nessah, M. Larbani and T. Tazdaït, A note on berge equilibrium. Appl. Math. Lett. 20 (2007) 926–932. [Google Scholar]
- J.V. Neumann and O. Morgenstern, Theory of Games and Economic Behavior. Princeton University Press, Princeton, NJ, USA (1944). [Google Scholar]
- M.J. Osborne and A. Rubinstein, A Course in Game Theory. MIT Press, Cambridge, MA, USA (1994). [Google Scholar]
- E. Safatly and J.E. Abdou, Locating pure and mixed berge equilibria using tensor form. Submitted (2019). [Google Scholar]
- J. Schouten, P. Borm and R. Hendrickx, Unilateral support equilibria. J. Math. Psychol. 93 (2019). [Google Scholar]
- C. Semay and B. Silvestre-Brac, Introduction au calcul tensoriel: Applications à la physique. Sciences sup. Dunod (2007). [Google Scholar]
- R.L. Trivers, The evolution of reciprocal altruism. Q. Rev. Biol. 46 (1971) 35–57. [Google Scholar]
- V.I. Zhukovskii, Some problems of nonantagonistic differential games. In Matematiceskie Metody v Issledovanii Operacij [Mathematical Methods in Operations Research] Edited by P. Kenderov. Bulgarian Academy of Sciences (1985) 103–195. [Google Scholar]
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