The Roll Call Interpretation of the Shapley Value

11 Pages Posted: 20 Aug 2018

See all articles by Sascha Kurz

Sascha Kurz

University of Bayreuth

Stefan Napel

University of Bayreuth

Date Written: August 8, 2018


The Shapley value is commonly illustrated by roll call votes in which players support or reject a proposal in sequence. If all sequences are equiprobable, a voter's Shapley value can be interpreted as the probability of being pivotal, i.e., to bring about the required majority or to make this impossible for others. We characterize the joint probability distributions over cooperation patterns that permit this roll call interpretation: individual votes may be interdependent but must be exchangeable.

Keywords: Shapley value, Shapley-Shubik index, roll call model, voting power

JEL Classification: C71, D70, D72

Suggested Citation

Kurz, Sascha and Napel, Stefan, The Roll Call Interpretation of the Shapley Value (August 8, 2018). Available at SSRN: or

Sascha Kurz (Contact Author)

University of Bayreuth ( email )

Universit├Ątsstr. 30
Lehrstuhl f├╝r Wirtschaftsmathematik
Bayreuth, Bavaria D-95440
+49 921 55 7353 (Phone)
+49 921 55 7352 (Fax)


Stefan Napel

University of Bayreuth ( email )

Universitatsstr 30
Bayreuth, D-95447

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