Arbeitspapier
Null or Zero Players: The Difference between the Shapley Value and the Egalitarian Solution
A situation in which a finite set of players can generate certain payoffs by cooperation can be described by a cooperative game with transferable utility. A solution for TU-games assigns to every TU-game a distribution of the payoffs that can be earned over the individual players. Two well-known solutions for TU-games are the Shapley value and the egalitarian solution. The Shapley value is characterized in various ways. Most characterizations use some axiom related to null players, i.e. players who contribute nothing to any coalition. We show that in these characterizations, replacing null players by zero players characterizes the egalitarian solution, where a player is a zero player if every coalition containing this player earns zero worth. We illustrate this difference between these two solutions by applying them to auction games.
- Sprache
-
Englisch
- Erschienen in
-
Series: Tinbergen Institute Discussion Paper ; No. 04-127/1
- Klassifikation
-
Wirtschaft
Cooperative Games
Auctions
- Thema
-
Null players
zero players
Shapley value
egalitarian solution
strong monotonicity
coalitional monotonicity
auction games
Spieltheorie
Transferable Utility Games
Kooperatives Spiel
Shapley-Wert
Theorie
- Ereignis
-
Geistige Schöpfung
- (wer)
-
van den Brink, René
- Ereignis
-
Veröffentlichung
- (wer)
-
Tinbergen Institute
- (wo)
-
Amsterdam and Rotterdam
- (wann)
-
2004
- Handle
- Letzte Aktualisierung
-
20.09.2024, 08:22 MESZ
Datenpartner
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- van den Brink, René
- Tinbergen Institute
Entstanden
- 2004