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On the continuity of representations of constitutions

Bezalel Peleg and Hans Peters

Chapter Chapter 7 in Strategic Social Choice, 2010, pp 81-94 from Springer

Abstract: Abstract In the previous chapters we have disregarded the topological properties of the strategy sets and the outcome functions of representations of topological effectivity functions. In this chapter we enquire about the existence of representations of which the strategy sets and outcomes space are compact metric spaces and where the outcome function is continuous. Clearly, the continuity of the outcome function of a representation in the strategies played by the members of the society is very desirable. Unfortunately, in Section 7.2 we describe an effectivity function which admits no continuous representation. Fortunately – and this is a main message of this chapter – continuity properties of representations of topological effectivity functions are latent everywhere in our model.

Keywords: Continuous Representation; Outcome Function; Choice Function; Continuity Property; Game Form (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:stcchp:978-3-642-13875-1_7

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DOI: 10.1007/978-3-642-13875-1_7

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