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On the continuity of representations of constitutions

In: Strategic Social Choice

Author

Listed:
  • Bezalel Peleg

    (The Hebrew University of Jerusalem)

  • Hans Peters

    (University of Maastricht)

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.

Suggested Citation

  • Bezalel Peleg & Hans Peters, 2010. "On the continuity of representations of constitutions," Studies in Choice and Welfare, in: Strategic Social Choice, chapter 0, pages 81-94, Springer.
    • Handle: RePEc:spr:stcchp:978-3-642-13875-1_7
    DOI: 10.1007/978-3-642-13875-1_7
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