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Networks and outside options

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Abstract

We introduce and characterize a component efficient value for TU games with a cooperation structure which in contrast to the Myerson (Math Oper Res 2:225–229, 1977) value accounts for outside options. It is based on the idea that the distribution of the worth within a component should be consistent with some connected graph which reflects the outside options of the component’s players.

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References

  • Aumann RJ, Drèze JH (1974) Cooperative games with coalition structures. Int J Game Theory 3:217–237

    Article  Google Scholar 

  • Bernheim B, Peleg B, Whinston M (1987) Coalition-proof equilibria I: Concepts. J Econ Theory 42: 1–12

    Article  Google Scholar 

  • Borm P, Owen G, Tijs S (1992) On the position value for communication situations. SIAM J Discrete Math 5: 305–320

    Article  Google Scholar 

  • Casajus A (2008) Outside options, component efficiency, and stability. Games Econ Behav (forthcoming). doi:10.1016/j.geb.2007.04.003

  • Dutta B, van den Nouweland A, Tijs S (1998) Link formation in cooperative situations. Int J Game Theory 27: 245–256

    Article  Google Scholar 

  • Hamiache G (1999) A value with incomplete information. Games Econ Behav 26: 59–

    Article  Google Scholar 

  • Hart S, Kurz M (1983) Endogenous formation of coalitions. Econometrica 51: 1047–1064

    Article  Google Scholar 

  • Maschler M (1992) The bargaining set, kernel, and nucleolus. In: Aumann RJ, Hart S (eds) Handbook of game theory with economic applications, vol I. Elsevier, Amsterdam, Chap 34, pp 591–667

  • Myerson RB (1977) Graphs and cooperation in games. Math Oper Res 2: 225–229

    Article  Google Scholar 

  • Myerson RB (1991) Game theory: analysis of conflict. Harvard University Press,

    Google Scholar 

  • Pfau S (2007) Experimental investigations on social exchange: examination of solution concepts of cooperative game theory. Master’s thesis, Institute of Sociology, University of Leipzig, Germany (in German)

  • Shapley LS (1953) A value for n-person games. In: Kuhn H, Tucker A (eds) Contributions to the theory of games, vol II. Princeton University Press, Princeton, pp 307–317

  • Slikker M, van den Nouweland A (2000) Network formation models with costs for establishing links. Rev Econ Des 5: 333–362

    Google Scholar 

  • van den Nouweland A (1993) Games and graphs in economic situations. PhD thesis, Tilburg University, The Netherlands

  • van den Nouweland A, Borm P, Tijs S (1992) Allocation rules for hypergraph communication situations. Int J Game Theory 20: 255–268

    Article  Google Scholar 

  • von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press

  • Wiese H (2007) Measuring the power of parties within government coalitions. Int Game Theory Rev 9(2): 307–322

    Article  Google Scholar 

Download references

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Correspondence to André Casajus.

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I wish to thank Lothar Tröger, Andreas Tutic, and seminar participants at the Leipzig Graduate School of Management (HHL), Germany for helpful comments on this paper. The exposition of the ideas in this paper benefited from remarks of an associate editor and of two anonymous referees.

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Casajus, A. Networks and outside options. Soc Choice Welf 32, 1–13 (2009). https://doi.org/10.1007/s00355-008-0305-0

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