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Nash consistent representation through lottery models

In: Strategic Social Choice

Author

Listed:
  • Bezalel Peleg

    (The Hebrew University of Jerusalem)

  • Hans Peters

    (University of Maastricht)

Abstract

In Chapter 3 we have seen that – under the usual assumptions of monotonicity and superadditivity, and for a finite set of alternatives (social states) – effectivity functions (constitutions) can be represented by Nash consistent game forms if and only if the intersection condition on individual polar sets (3.6) is satisfied. This condition is quite restrictive, for instance, it is not satisfied by the effectivity function derived from the familiar 2 × 2 bimatrix game form (cf. Example 3.3.11).

Suggested Citation

  • Bezalel Peleg & Hans Peters, 2010. "Nash consistent representation through lottery models," Studies in Choice and Welfare, in: Strategic Social Choice, chapter 0, pages 67-79, Springer.
    • Handle: RePEc:spr:stcchp:978-3-642-13875-1_6
    DOI: 10.1007/978-3-642-13875-1_6
    as

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