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Social Decision Rules Which Are Simple Games

In: Domain Conditions and Social Rationality

Author

Listed:
  • Satish Kumar Jain

    (Jawaharlal Nehru University, Formerly Professor)

Abstract

A simple game social decision rule is defined by the condition that under it an alternative x is socially preferred to another alternative y iff all individuals belonging to some winning coalition unanimously prefer x to y. This chapter provides a characterization for the class of social decision rules that are simple games as well as for the subclass that are strong simple games and derives Inada-type necessary and sufficient conditions for transitivity and quasi-transitivity under the rules belonging to the class.

Suggested Citation

  • Satish Kumar Jain, 2019. "Social Decision Rules Which Are Simple Games," Springer Books, in: Domain Conditions and Social Rationality, chapter 0, pages 129-138, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-9672-4_9
    DOI: 10.1007/978-981-13-9672-4_9
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