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Implementation of the Levels Structure Value

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Abstract

We implement the levels structure value (Winter, 1989) for cooperative transfer utility games with a levels structure. The mechanism is a generalization of the bidding mechanism by Pérez-Castrillo and Wettstein (2001).

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References

  • Calvo, E., J. Lasaga, and E. Winter. (1996). “The Principle of Balanced Contributions and Hierarchies of Cooperation.” Mathematical Social Sciences 31, 171–182.

    Article  Google Scholar 

  • Dasgupta, A. and Y.S. Chiu. (1998). “On Implementation via DemandCommitment Games.” International Journal of Game Theory 27(2), 161–189.

    Article  Google Scholar 

  • Evans, R.A. (1996). “Value, consistency, and Random Coalition Formation.” Games and Economic Behavior 12, 68–80.

    Article  Google Scholar 

  • Gul, F. (1989). “Bargaining Foundations of the Shapley Value.” Econometrica 57, 81–95.

    Google Scholar 

  • Hart, O. and J. Moore. (1990). “Property Rights and the Nature of the Firm.” Journal of Political Economy 98, 1119–1158.

    Article  Google Scholar 

  • Hart, S. and A. Mas-Colell. (1996). “Bargaining and value.” Econometrica 64, 357–380.

    Google Scholar 

  • Moldovanu, B. and E. Winter. (1994). “Core Implementation and Increasing Returns to Scale for Cooperation.” Journal of Mathematical Economics 23, 533–548.

    Article  Google Scholar 

  • Myerson, R.B. (1980). “Conference Structures and Fair Allocation Rules.” International Journal of Game Theory 9, 169–182.

    Article  Google Scholar 

  • Navarro, N. and A. Perea. (2001). “Bargaining in Networks and the Myerson Value.” Working paper 01-06. Universidad Carlos III de Madrid. Economics Series 21.

  • Owen, G. (1977). “Values of Games with a Priori Unions.” In R. Henn and O. Moeschlin (eds.), Essays in Mathematical Economics and Game Theory, Berlin, Springer-Verlag, pp. 76–88.

    Google Scholar 

  • Pérez-Castrillo, D. and D. Wettstein. (2001). “Bidding for the Surplus: A Non-Cooperative Approach to the Shapley Value.” Journal of Economic Theory 100(2), 274–294.

    Article  Google Scholar 

  • Shapley, L.S. (1953). “A Value for n-Person Games.” In H.W. Kuhn and A.W. Tucker (eds.), Contributions to the Theory of Games II, Princeton NJ, Princeton University Press, pp. 307–317.

    Google Scholar 

  • Vidal-Puga, J.J. and G. Bergantiños. (2003). “An Implementation of the Owen Value.” Games and Economic Behavior 44, 412–427.

    Article  Google Scholar 

  • Winter, E. (1989). “A Value for Cooperative Games with Level Structure of Cooperation.” International Journal or Game Theory 18, 227–240.

    Article  Google Scholar 

  • Winter, E. (1994). “The Demand Commitment Bargaining and Snowballing Cooperation.” Economic Theory 4, 255–273.

    Article  Google Scholar 

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Authors and Affiliations

  1. Facultade de Económicas, As Lagoas Marcosende, Universidade de Vigo, 36200, Vigo, Spain

    Juan J. Vidal-Puga

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  1. Juan J. Vidal-Puga
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Correspondence to Juan J. Vidal-Puga.

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Vidal-Puga, J.J. Implementation of the Levels Structure Value. Ann Oper Res 137, 191–209 (2005). https://doi.org/10.1007/s10479-005-2255-6

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  • DOI: https://doi.org/10.1007/s10479-005-2255-6

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