Tarification par des jeux Coopératifs avec Demandes Élastiques
F. Bendali; J. Mailfert; A. Quilliot
RAIRO - Operations Research (2010)
- Volume: 35, Issue: 3, page 367-381
- ISSN: 0399-0559
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topBendali, F., Mailfert, J., and Quilliot, A.. "Tarification par des jeux Coopératifs avec Demandes Élastiques." RAIRO - Operations Research 35.3 (2010): 367-381. <http://eudml.org/doc/197805>.
@article{Bendali2010,
abstract = {
We propose here a pricing Model which is an extension of the Cooperative Game concept and
which includes a notion of Elastic Demand. We present some existence results as well as some
algorithms. We conclude by discussing this model in the context of some Production and
Transportation problems.
},
author = {Bendali, F., Mailfert, J., Quilliot, A.},
journal = {RAIRO - Operations Research},
keywords = {Programmation linéaire; Jeux Coopératifs; point fixe; flots; transport; production.; linear programming; cooperative game; production; fixed point},
language = {fre},
month = {3},
number = {3},
pages = {367-381},
publisher = {EDP Sciences},
title = {Tarification par des jeux Coopératifs avec Demandes Élastiques},
url = {http://eudml.org/doc/197805},
volume = {35},
year = {2010},
}
TY - JOUR
AU - Bendali, F.
AU - Mailfert, J.
AU - Quilliot, A.
TI - Tarification par des jeux Coopératifs avec Demandes Élastiques
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 3
SP - 367
EP - 381
AB -
We propose here a pricing Model which is an extension of the Cooperative Game concept and
which includes a notion of Elastic Demand. We present some existence results as well as some
algorithms. We conclude by discussing this model in the context of some Production and
Transportation problems.
LA - fre
KW - Programmation linéaire; Jeux Coopératifs; point fixe; flots; transport; production.; linear programming; cooperative game; production; fixed point
UR - http://eudml.org/doc/197805
ER -
References
top- K.J. Arrow, Choix Collectifs et Préférences Individuelles. Calmann-Levy (1975).
- C. Berge, Théorie des Jeux à n personnes. Gauthier-Villars, Paris, Memorial Sciences Math.138 (1957).
- C.G. Bird, On cost allocation on a spanning tree: A game theoretical approach. Networks6 (1976) 335-350.
- O.N. Bondareva, Some applications of linear programming methods to the theory of cooperative games. Problemy Kibernetica10 (1963) 119-139.
- G. Bruyneel, Computation of the nucleolus of a game by means of minimal balanced sets. Oper. Res. Verfahren34 (1979) 35-51.
- N. Curien, Cost allocation and pricing policy: the case of french telecommunications, in Cost Allocation: Methods, Principles, Applications, edited H.P. Young, Chap. 9, Elsevier Sciences (1985) 167-178.
- M. Davis, M. Maschler, The kernel of a cooperative game. Naval Res. Logist. Quarterly12 (1965) 223-259.
- D. Granot, G. Huberman, On the core and nucleolus of minimum cost spanning tree games. Math. Programming29 (1984) 323-347.
- P. Dubey, L.S. Shapley, Totally balanced games arising from controlled programming problems. Math. Programming29 (1984) 245-267.
- H.A. Eiselt, G. Laporte, J.F. Thisse, Competitive location model: a framework and bibliography. Transportation Sci.27 (1993) 44-54.
- I. Ekeland, La Théorie des Jeux et ses Applications à l'Economie Mathématique. Presses Universitaires de France (1974).
- F.M. Fisher, Games economists play: A non cooperatice view. Rand J. Econom.20 (1989) 113-124.
- D. Fudemberg, J. Tirole, Game Theory. MIT Press (1991).
- D. Granot, A generalized linear production model: A unifying model. Math. Programming34 (1986) 212-222.
- D. Granot, F. Granot, On some network flow games. Math. Oper. Res.17 (1992) 792-841.
- G. Huberman, The nucleolus and the essential coalitions, in Analysis and Optimization Systems. Springer, Berlin (1980) 416-422.
- E. Kalai, E. Zemel, Totally balanced games and games of flows. Math. Oper. Res.7 (1982) 476-478.
- P.J. Lederer, A competitive network design problem with pricing. Transportation Sci.27 (1993) 25-38.
- J. Nash, Non-Cooperative games. Ann. of Math.54 (1951) 286-295.
- A. Orda, R. Rom, N. Shimkin, Competitive routing in multiuser communication networks. IEEE/ACM Trans. Networking1 (1993) 510-521.
- G. Owen, On the core of linear production games. Math. Prog.9 (1975) 358-370.
- G. Owen, Game Theory. Academic Press (1982).
- L.S. Shapley, On balanced sets and cores. Naval Res. Logist. Quarlerly14 (1967) 453-460.
- L.S. Shapley, Cores of convex games. Int. J. Game Theory1 (1971) 11-26.
- D.R. Smart, Fixed Point Theorems. Cambridge University Press, Cambridge Tracts in Math.66 (1974).
- A. Tamir, On the core of network synthesis games. Math. Programming50 (1991) 123-135.
- J. Von Neuman, O. Morgenstern, Theory of Games and Economic Behaviour. Princeton University Press (1947).
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