An axiomatic characterization of the Owen–Shapley spatial power index

Hans Peters and José M. Zarzuelo ()
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José M. Zarzuelo: The University of the Basque Country

International Journal of Game Theory, 2017, vol. 46, issue 2, No 11, 525-545

Abstract: 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 include two conditions concerned particularly with the spatial positions of the players, besides spatial versions of anonymity and dummy. The last condition says that dummy players can be left out in a specific way without changing the power of the other players. We show that this condition can be weakened to requiring dummies to have zero power if we add a condition of positional continuity. We also show that the axioms in our characterization(s) are logically independent.

Keywords: Simple game; Constellation; Spatial game; Owen–Shapley spatial power index (search for similar items in EconPapers)
JEL-codes: C71 D72 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00182-016-0544-8

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