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.
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© 2010 Springer-Verlag Berlin Heidelberg
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Peleg, B., Peters, H. (2010). On the continuity of representations of constitutions. In: Strategic Social Choice. Studies in Choice and Welfare. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13875-1_7
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DOI: https://doi.org/10.1007/978-3-642-13875-1_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13874-4
Online ISBN: 978-3-642-13875-1
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