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An axiomatic characterization of the Owen-Shapley spatial

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  • Peters, H.J.M.

    (Quantitative Economics)

  • Zarzuelo, J.M.

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.

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  • Peters, H.J.M. & Zarzuelo, J.M., 2015. "An axiomatic characterization of the Owen-Shapley spatial," Research Memorandum 015, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2015015
    DOI: 10.26481/umagsb.2015015
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