Open Access
Issue
RAIRO-Oper. Res.
Volume 57, Number 5, September-October 2023
Page(s) 2873 - 2887
DOI https://doi.org/10.1051/ro/2023125
Published online 13 November 2023
  • E. Algaba, J.M. Bilbao and R. van den Brink, Harsanyi power solutions for games on union stable systems. Ann. Oper. Res. 225 (2015) 27–44. [Google Scholar]
  • J.M. Alonso-Meijide and M.G. Fiestras-Janerio, The Banzhaf value and communication situations. Nav. Res. Log. 53 (2006) 198–203. [CrossRef] [Google Scholar]
  • J.M. Bilbao, Values and potential of games with cooperation structure. Int. J. Game Theory 27 (1998) 131–145. [CrossRef] [Google Scholar]
  • P. Borm, G. Owen and S. Tjis, On the position value for communication situations. SIAM J. Discrete Math. 5 (1992) 305–320. [CrossRef] [MathSciNet] [Google Scholar]
  • E. Calvo, J. Lasaga and A. van den Nouweland, Values of games with probabilistic graphs. Math. Soc. Sci. 37 (1999) 79–95. [CrossRef] [Google Scholar]
  • J. Derks, H. Haller and H. Peters, The selectope for cooperative TU-games. Int. J. Game. Theory 29 (2000) 23–38. [CrossRef] [Google Scholar]
  • J. Derks, G. van der Laan and V.A. Vasil’ev, Characterizations of the random order values by Harsanyi payoff vectors. Math. Methods Oper. Res. 64 (2006) 155–163. [Google Scholar]
  • J. Derks, G. van der Laan and V.A. Vasil’ev, On the Harsanyi payoff vectors and Harsanyi imputations. Theory Decis. 68 (2010) 301–310. [Google Scholar]
  • A. Ghintran, Weighted position values. Math. Soc. Sci. 65 (2013) 157–163. [Google Scholar]
  • A. Ghintran, E. González-Arangüena and C. Manuel, A probabilistic position value. Ann. Oper. Res. 1 (2012) 183–196. [Google Scholar]
  • D. Gómez, E. González-Arangüena, C. Manuel and G. Owen, A value for generalized probabilistic communication situations. Eur. J. Oper. Res. 190 (2008) 539–556. [Google Scholar]
  • G. Hamiache, A value with incomplete communication. Games Econ. Behav. 26 (1999) 59–78. [Google Scholar]
  • J.C. Harsanyi, A bargaining model for cooperative n-person games, in Contributions to the Theory of Games IV, edited by A.W. Tucker and R.D. Luce. Princeton University Press, Princeton (1959)325–355. [Google Scholar]
  • J.C. Harsanyi, A simplified bargaining model for the n-person cooperative game. Int. Econ. Rev. 4 (1963) 194–220. [Google Scholar]
  • P.J.J. Herings, G. van der Laan and A.J.J. Talman, The positional power of nodes in digraphs. Soc. Choice Welfare 24 (2005) 439–454. [CrossRef] [MathSciNet] [Google Scholar]
  • P.J.J. Herings, G. van der Laan and D. Talman, The average tree solution for cycle-free graph games. Games Econ. Behav. 62 (2008) 77–92. [CrossRef] [Google Scholar]
  • P.J.J. Herings, G. van der Laan, A.J.J. Talman and Z. Yang, The average tree solution for cooperative games with communication structure. Games Econ. Behav. 68 (2010) 626–633. [Google Scholar]
  • X.F. Hu, D.F. Li and G.J. Xu, Fair distribution of surplus and efficient extensions of the Myerson value. Econ. Lett. 165 (2018) 1–5. [Google Scholar]
  • R. Meessen, Communication games (in Dutch). M.D. thesis, University of Nijmegen, The Netherlands (1988). [Google Scholar]
  • R.B. Myerson, Graphs and cooperation in games. Math. Oper. Res. 2 (1977) 225–229. [Google Scholar]
  • F. Navarro, The center value: a sharing rule for cooperative games on acyclic graphs. Math. Soc. Sci. 105 (2020) 1–13. [Google Scholar]
  • G. Owen, Values of graph-restricted games. SIAM J. Algebr. Discrete Methods 7 (1986) 210–220. [CrossRef] [Google Scholar]
  • E.F. Shan, J.L. Shi and L. Cai, The allocation rule for TU-games with coalition and probabilistic graph structures and its applications. Chin. J. Manage. Sci. (2021). DOI: 10.16381/j.cnki.issn1003-207x.2020.1348. [Google Scholar]
  • L. Shapley, A value for n-person games, in Contributions to the Theory of Games II, edited by H.W. Kuhn and A.W. Tucker. Princeton University Press, Princeton (1953) 307–317. [Google Scholar]
  • J.L. Shi and E.F. Shan, The Banzhaf value for generalized probabilistic communication situations. Ann. Oper. Res. 301 (2020) 225–244. [Google Scholar]
  • J.L. Shi, L. Cai, E.F. Shan and W.R. Lyu, A value for cooperative games with coalition and probabilistic graph structures. J. Comb. Optim. 43 (2022) 646–671. [Google Scholar]
  • V.A. Vasil’ev, On a class of operators in a space of regular set functions. Optimizacija 28 (1982) 102–111. (in Russian). [Google Scholar]
  • V.A. Vasil’ev, Extreme points of the Weber polytope. Discretnyi Analiz i Issledonaviye Operatsyi, Ser. 110 (2003) 17–55. (in Russian). [Google Scholar]
  • R. van den Brink, P. Borm, R. Hendrickx and G. Owen, Characterizations of the beta- and the degree network power measure. Theory Decis. 64 (2008) 519–536. [Google Scholar]
  • R. van den Brink, G. van der Laan and V. Pruzhansky, Harsanyi power solutions for graph-restricted games. Int. J. Game Theory 40 (2011) 87–110. [CrossRef] [Google Scholar]
  • R. van den Brink, A. Khmelnitskaya and G. van der Laan, An efficient and fair solution for communication graph games. Econ. Lett. 117 (2012) 786–789. [Google Scholar]
  • Z. Zou and Q. Zhang, Harsanyi power solution for games with restricted cooperation. J. Comb. Optim. 35 (2018) 26–47. [Google Scholar]

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