Artikel

Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi solution

A new concept for TU-values, called value dividends, is introduced. Similar to Harsanyi dividends, value dividends are defined recursively and provide new characterizations of values from the Harsanyi set. In addition, we generalize the Harsanyi set where each of the TU-values from this set is defined by the distribution of the Harsanyi dividends via sharing function systems and give an axiomatic characterization. As a TU value from the generalized Harsanyi set, we present the proportional Harsanyi solution, a new proportional solution concept. A new characterization of the Shapley value is proposed as a side effect. None of our characterizations uses additivity.

Language
Englisch

Bibliographic citation
Journal: International Journal of Game Theory ; ISSN: 1432-1270 ; Volume: 49 ; Year: 2020 ; Issue: 3 ; Pages: 851-873 ; Berlin, Heidelberg: Springer

Classification
Wirtschaft
Subject
TU-game
Value dividends
(Generalized) Harsanyi set
Weighted Shapley values
(Proportional) Harsanyi solution
Sharing function systems

Event
Geistige Schöpfung
(who)
Besner, Manfred
Event
Veröffentlichung
(who)
Springer
(where)
Berlin, Heidelberg
(when)
2020

DOI
doi:10.1007/s00182-019-00701-4
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Artikel

Associated

  • Besner, Manfred
  • Springer

Time of origin

  • 2020

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