Linear production with transport of products, resources and technology. (English) Zbl 0802.90009
Summary: This paper considers linear production situations with a finite number of production facilities, each with its own production technology and market prices. The economic agents control resources at the different facilities. Transport of resources, products and technology is restricted. Sufficient conditions for the corresponding TU-game to be balanced are discussed. An example is presented in some detail.
MSC:
| 91B38 | Production theory, theory of the firm |
| 91A80 | Applications of game theory |
| 91A12 | Cooperative games |
References:
| [1] | Owen G (1975) On the core of linear production games. Mathematical Programming 9:358-370 · Zbl 0318.90060 · doi:10.1007/BF01681356 |
| [2] | Curiel I, Derks J, Tijs SH (1989) On balanced games and games with committee control. OR Spectrum 11:83-88 · Zbl 0678.90102 |
| [3] | Granot D (1986) A generalized linear production model: a unifying model. Mathematical Programming 34:212-222 · Zbl 0604.90142 · doi:10.1007/BF01580585 |
| [4] | Koster A (1990) Cooperation with communication restrictions. Master’s Thesis (in Dutch), University of Nijmegen, The Netherlands |
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