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The roll call interpretation of the Shapley value
Abstract in another language
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.
Further data
| Item Type: |
Article in a journal
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| Refereed: |
Yes |
| Keywords: |
Shapley value; Shapley-Shubik index; roll call model; voting power
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| Subject classification: |
JEL: C71, D70, D72
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| Institutions of the University: |
Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties > Faculty of Law, Business and Economics Faculties > Faculty of Law, Business and Economics > Department of Economics Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV - Microeconomics > Chair Economics IV - Microeconomics - Univ.-Prof. Dr. Stefan Napel Profile Fields > Emerging Fields > Governance and Responsibility Faculties Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV - Microeconomics Profile Fields Profile Fields > Emerging Fields |
| Result of work at the UBT: |
Yes |
| DDC Subjects: |
000 Computer Science, information, general works > 004 Computer science 300 Social sciences > 320 Political science 300 Social sciences > 330 Economics 500 Science > 510 Mathematics |
| Date Deposited: |
10 Oct 2018 07:31 |
| Last Modified: |
06 Oct 2025 12:08 |
| URI: |
https://eref.uni-bayreuth.de/id/eprint/46002 |
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