An axiomatic characterization of the Owen-Shapley spatial

H.J.M. Peters, J.M. Zarzuelo

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Abstract

We present an axiomatic characterization of the Owen-Shapley spatial power index for the case where issues are elements of two-dimensional space. This characterization employs a version of the transfer condition, which enables us to unravel a spatial game into spatial games connected to unanimity games. The other axioms are spatial versions of anonymity and dummy, and two conditions
concerned particularly with the spatial positions of the players. We show that these axioms are logically independent.
Original languageEnglish
Place of PublicationMaastricht
PublisherMaastricht University, Graduate School of Business and Economics
Number of pages18
Publication statusPublished - 1 Jan 2015

Publication series

SeriesGSBE Research Memoranda
Number015

Cite this

Peters, H. J. M., & Zarzuelo, J. M. (2015). An axiomatic characterization of the Owen-Shapley spatial. Maastricht University, Graduate School of Business and Economics. GSBE Research Memoranda, No. 015