In this paper we provide new insights for inventory transporta- tion systems. First, we show that every inventory transportation system can be decomposed into a sum of simpler inventory trans- portation systems. The main characteristic of these simpler sys- tems is that each of them has only one extreme agent. This fact is helpful in the research on this class of systems. Second, we propose a new allocation rule, the AMEF value (AMEF stands for Average of the Marginal vectors with an Extreme agent First), that provides core allocations under suitable conditions. For its definition we use more information than in the definition of the line rule. Finally, we show a characterization of the new rule in terms of properties which have the same flavor as others already studied in the litera- ture such as balanced contributions (cf. [7]), transfer (cf. [5]), and a new property of solidarity.
The paper is organized as follows. Section 2 is devoted to recall- ing some preliminaries from inventory transportation systems and cooperative game theory. Moreover, we provide a new property of inventory transportation systems. In Sections 3 and 4 we propose and characterize the AMEF value. Finally, the Appendix contains the proofs of the main results in this paper.
In this paper we provide new insights for inventory transporta- tion systems. First, we show that every inventory transportation system can be decomposed into a sum of simpler inventory trans- portation systems. The main characteristic of these simpler sys- tems is that each of them has only one extreme agent. This fact is helpful in the research on this class of systems. Second, we propose a new allocation rule, the AMEF value (AMEF stands for Average of the Marginal vectors with an Extreme agent First), that provides core allocations under suitable conditions. For its definition we use more information than in the definition of the line rule. Finally, we show a characterization of the new rule in terms of properties which have the same flavor as others already studied in the litera- ture such as balanced contributions (cf. [7]), transfer (cf. [5]), and a new property of solidarity.The paper is organized as follows. Section 2 is devoted to recall- ing some preliminaries from inventory transportation systems and cooperative game theory. Moreover, we provide a new property of inventory transportation systems. In Sections 3 and 4 we propose and characterize the AMEF value. Finally, the Appendix contains the proofs of the main results in this paper.
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In this paper we provide new insights for inventory transporta- tion systems. First, we show that every inventory transportation system can be decomposed into a sum of simpler inventory trans- portation systems. The main characteristic of these simpler sys- tems is that each of them has only one extreme agent. This fact is helpful in the research on this class of systems. Second, we propose a new allocation rule, the AMEF value (AMEF stands for Average of the Marginal vectors with an Extreme agent First), that provides core allocations under suitable conditions. For its definition we use more information than in the definition of the line rule. Finally, we show a characterization of the new rule in terms of properties which have the same flavor as others already studied in the litera- ture such as balanced contributions (cf. [7]), transfer (cf. [5]), and a new property of solidarity.
The paper is organized as follows. Section 2 is devoted to recall- ing some preliminaries from inventory transportation systems and cooperative game theory. Moreover, we provide a new property of inventory transportation systems. In Sections 3 and 4 we propose and characterize the AMEF value. Finally, the Appendix contains the proofs of the main results in this paper.
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