Efficient quotient extensions of the Myerson value

Daniel Li Li () and Erfang Shan ()
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Daniel Li Li: Shanghai Business School
Erfang Shan: Shanghai University

Annals of Operations Research, 2020, vol. 292, issue 1, No 9, 181 pages

Abstract: Abstract We propose an efficient extension of the Myerson value for games with communication graph structure. Define a quotient game on set of the components of the graph, in which each component acts as a component-player. Then, each player in a component receives his payoff according to the Myerson value and an equal share of the surplus of the Shapley value obtained by the component in the quotient game. We show that this efficient extension of the Myerson value can be characterized by quotient component efficiency, fair distribution of surplus within component and coherence with the Myerson value for connected graphs.

Keywords: TU-game; Myerson value; Communication graph; Efficient extension; 91A12; 91A43; 05C57; C71; D60 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10479-020-03634-4

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