Abstract
This paper presents an axiomatic characterization of the Owen set of transportation games. In the characterization we use six properties including consistency (CONS2) and splitting and merging (SM) which are firstly proposed and defined for this setup in the present paper.
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REFERENCES
Borm, P., Hamers, H. and Hendrickx, R. (2001), Operations research games:A survey, TOP 9, 139–216.
Owen, G. (1975), On the core of linear production games, Mathematical Programming 9, 358–370.
Samet, D., Tauman, Y. and Zang, I. (1984), An application of the Aumann–Shapley prices for cost allocation in transportation problems, Mathe-matics of Operations Research 9, 25–42.
Sánchez-Soriano, J. (1998), El problema del transporte. Una aproximación desde la Teoría de Juegos (in Spanish). Ph. D. Thesis, University of Murcia, Murcia, Spain.
Sánchez-Soriano, J., López, M. A. and García-Jurado, I. (2001), On the core of transportation games, Mathematical Social Sciences 41, 215–225.
Sasaki, H. (1995), Consistency and monotonicity in assignment problems, International Journal of Game Theory 24, 373–397.
Shapley, L. S. and Shubik, S. (1972), The assignment game I:The core, International Journal of Game Theory 1, 111–130.
van Gellekom, J. R. G., Potters, J. A. M., Reijnierse, J. H., Engel M. C. and Tijs, S. H. (2000), Characterization of the Owen set of linear production processes, Games and Economic Behavior 32, 139–156.
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Llorca, N., Molina, E., Pulido, M. et al. On the Owen Set of Transportation Solutions. Theory and Decision 56, 215–228 (2004). https://doi.org/10.1007/s11238-004-5649-z
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DOI: https://doi.org/10.1007/s11238-004-5649-z