Abstract
In this work we present two properties of coalitional values for games with coalitional structure. The main goal of the paper is to prove that the Owen value satisfies these properties, which are related to a gain game and a lost game. The satisfaction of these properties provides a greater stability for this value because it is immune to a possible manipulation given by these games.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
S n is the group of permutations of N.
References
Calvo, E., Lasaga, J.J., Winter, E.: The principle of balanced contributions and hierarchies of cooperation. Math. Soc. Sci. 31 (3), 171–182 (1996)
Hamiache, G.: The Owen value values friendship. Int. J. Game Theor. 29, 517–532 (2001)
Owen, G.: Values of games with a priori unions. In: Henn, R., Moeschlin, O. (eds.) Essays in Mathematical Economics and Game Theory, pp. 76–88. Springer, New York (1977)
Shapley, L.S.: A value for n-person games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games II. Annals of Mathematics Studies, vol. 28, pp. 307–317. Princeton University Press, Princeton (1953)
Acknowledgements
The authors acknowledge support from CONACyT grants 167924 and 240229.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Juarez-Romero, O., Olvera-Lopez, W., Sanchez-Sanchez, F. (2016). Additional Properties of the Owen Value. In: Pinto, A., Accinelli Gamba, E., Yannacopoulos, A., Hervés-Beloso, C. (eds) Trends in Mathematical Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-32543-9_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-32543-9_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-32541-5
Online ISBN: 978-3-319-32543-9
eBook Packages: Economics and FinanceEconomics and Finance (R0)