The Prediction Value

Arbeitspapier

We introduce the prediction value (PV) as a measure of players’ informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player i’s prediction value equals the difference between the conditional expectations of v(S) when i cooperates or not. We characterize the prediction value as a special member of the class of (extended) values which satisfy anonymity, linearity and a consistency property. Every n-player binomial semivalue coincides with the PV for a particular family of probability distributions over coalitions. The PV can thus be regarded as a power index in specific cases. Conversely, some semivalues – including the Banzhaf but not the Shapley value – can be interpreted in terms of informational importance.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Tinbergen Institute Discussion Paper ; No. 13-188/II

Klassifikation und Themen

• Klassifikation: Wirtschaft ; Cooperative Games ; Social Choice; Clubs; Committees; Associations ; Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
• Thema: influence ; voting games ; cooperative games ; Banzhaf value ; Shapley value

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Koster, Maurice ; Kurz, Sascha ; Lindner, Ines ; Napel, Stefan
• Ereignis: Veröffentlichung
• (wer): Tinbergen Institute
• (wo): Amsterdam and Rotterdam
• (wann): 2013

Weitere Informationen

• Handle: http://hdl.handle.net/10419/89242
• Letzte Aktualisierung: 10.03.2025, 11:41 MEZ