Arbeitspapier
The Shapley value without efficiency and additivity
We provide a new characterization of the Shapley value neither using the efficiency axiom nor the additivity axiom. In this characterization, efficiency is replaced by the gain-loss axiom (Einy and Haimanko, 2011, Game Econ Behav 73: 615-621), i.e., whenever the total worth generated does not change, a player can only gain at the expense of another one. Additivity and the equal treatment axiom are substituted by fairness (van den Brink, 2001, Int J Game Theory 30: 309-319) or differential marginality (Casajus, 2011, Theor Decis 71: 163-174), where the latter requires equal productivity differentials of two players to translate into equal payoff differentials. The third axiom of our characterization is the standard dummy player axiom.
- Language
-
Englisch
- Bibliographic citation
-
Series: Working Paper ; No. 114
- Classification
-
Wirtschaft
Cooperative Games
Welfare Economics: General
- Subject
-
shapley value
gain-loss axiom
differential marginality
efficiency
additivity
- Event
-
Geistige Schöpfung
- (who)
-
Casajus, André
- Event
-
Veröffentlichung
- (who)
-
Universität Leipzig, Wirtschaftswissenschaftliche Fakultät
- (where)
-
Leipzig
- (when)
-
2012
- Handle
- Last update
-
10.03.2025, 11:43 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Casajus, André
- Universität Leipzig, Wirtschaftswissenschaftliche Fakultät
Time of origin
- 2012
Other Objects (12)
The Shapley Value, Proper Shapley Value, and Sharing Rules for Cooperative Ventures
The Shapley value of phylogenetic trees
Cooperative games: Core and shapley value
The Shapley Value and Games with Hierarchies
The Shapley NTU-value via surface measures
The Shapley value for shortest path games
On the Shapley value of liability games
The Shapley Value for Airport and Irrigation Games
A shapley value approach to pricing climate risks
On Axiomatizations of the Shapley Value for Assignment Games
Players Indifferent to Cooperate and Characterizations of the Shapley Value
A Minimal Test for Convex Games and the Shapley Value
The Shapley Value, Proper Shapley Value, and Sharing Rules for Cooperative Ventures
The Shapley value of phylogenetic trees
Cooperative games: Core and shapley value
The Shapley Value and Games with Hierarchies
The Shapley NTU-value via surface measures
The Shapley value for shortest path games
On the Shapley value of liability games
The Shapley Value for Airport and Irrigation Games
A shapley value approach to pricing climate risks
On Axiomatizations of the Shapley Value for Assignment Games
Players Indifferent to Cooperate and Characterizations of the Shapley Value
A Minimal Test for Convex Games and the Shapley Value
The Shapley Value, Proper Shapley Value, and Sharing Rules for Cooperative Ventures
The Shapley value of phylogenetic trees
Cooperative games: Core and shapley value
The Shapley Value and Games with Hierarchies
The Shapley NTU-value via surface measures
The Shapley value for shortest path games
On the Shapley value of liability games
The Shapley Value for Airport and Irrigation Games
A shapley value approach to pricing climate risks
On Axiomatizations of the Shapley Value for Assignment Games
Players Indifferent to Cooperate and Characterizations of the Shapley Value