Decomposition of network communication games

作者：Dietzenbacher Bas^*; Borm Peter; Hendrickx Ruud

来源：Mathematical Methods of Operations Research, 2017, 85(3): 407-423.

DOI：10.1007/s00186-017-0576-2

• Network control structures
• Network communication games
• Decomposition theory
• Network control values
• Myerson value
• Position value

Using network control structures, this paper introduces a general class of network communication games and studies their decomposition into unanimity games. We obtain a relation between the dividends in any network communication game and its underlying transferable utility game, which depends on the structure of the communication network. Moreover, we introduce a new class of network control values which contains both the Myerson value and the position value. The decomposition results are used to explicitly express these values in terms of dividends.

• 出版日期2017-6