Reduced game and converse consistency
Chih Chang, Cheng-Cheng Hu
The initiating points of the current paper are the axiomatic characterizations, in terms of consistency, of the equal allocation of nonseparable cost value (by Moulin), the Shapley value (by Hart and Mas-Colell), and the prenucleolus (by Orshan). The basic axioms are the same, but three different reduced games can be used to distinguish these three solutions. The main purpose of the paper is to illustrate that besides the definitions of reduced games are different, the axiom converse consistency also plays an important role to distinguish these three solutions.
Games and Economic Behavior
https://doi.org/10.1016/j.geb.2006.08.002
10.1016/j.geb.2006.08.002
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Converse Consistency Business & Economics
Reduced Game Business & Economics
Axioms Business & Economics
Axiomatic Characterization Business & Economics
Shapley Value Business & Economics
Costs Business & Economics
Chang, C., & Hu, C-C. (2007). Reduced game and converse consistency. Games and Economic Behavior, 59(2), 260-278. https://doi.org/10.1016/j.geb.2006.08.002
Chang, Chih ; Hu, Cheng-Cheng. / Reduced game and converse consistency. In: Games and Economic Behavior. 2007 ; Vol. 59, No. 2. pp. 260-278.
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title = "Reduced game and converse consistency",
abstract = "The initiating points of the current paper are the axiomatic characterizations, in terms of consistency, of the equal allocation of nonseparable cost value (by Moulin), the Shapley value (by Hart and Mas-Colell), and the prenucleolus (by Orshan). The basic axioms are the same, but three different reduced games can be used to distinguish these three solutions. The main purpose of the paper is to illustrate that besides the definitions of reduced games are different, the axiom converse consistency also plays an important role to distinguish these three solutions.",
author = "Chih Chang and Cheng-Cheng Hu",
doi = "10.1016/j.geb.2006.08.002",
journal = "Games and Economic Behavior",
Chang, C & Hu, C-C 2007, 'Reduced game and converse consistency', Games and Economic Behavior, vol. 59, no. 2, pp. 260-278. https://doi.org/10.1016/j.geb.2006.08.002
Reduced game and converse consistency. / Chang, Chih; Hu, Cheng-Cheng.
In: Games and Economic Behavior, Vol. 59, No. 2, 01.05.2007, p. 260-278.
T1 - Reduced game and converse consistency
AU - Chang, Chih
AU - Hu, Cheng-Cheng
N2 - The initiating points of the current paper are the axiomatic characterizations, in terms of consistency, of the equal allocation of nonseparable cost value (by Moulin), the Shapley value (by Hart and Mas-Colell), and the prenucleolus (by Orshan). The basic axioms are the same, but three different reduced games can be used to distinguish these three solutions. The main purpose of the paper is to illustrate that besides the definitions of reduced games are different, the axiom converse consistency also plays an important role to distinguish these three solutions.
AB - The initiating points of the current paper are the axiomatic characterizations, in terms of consistency, of the equal allocation of nonseparable cost value (by Moulin), the Shapley value (by Hart and Mas-Colell), and the prenucleolus (by Orshan). The basic axioms are the same, but three different reduced games can be used to distinguish these three solutions. The main purpose of the paper is to illustrate that besides the definitions of reduced games are different, the axiom converse consistency also plays an important role to distinguish these three solutions.
U2 - 10.1016/j.geb.2006.08.002
DO - 10.1016/j.geb.2006.08.002
JO - Games and Economic Behavior
JF - Games and Economic Behavior
Chang C, Hu C-C. Reduced game and converse consistency. Games and Economic Behavior. 2007 May 1;59(2):260-278. https://doi.org/10.1016/j.geb.2006.08.002