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Multi-utilitarianism in two-agent quasilinear social choice

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  • Christopher Chambers

Abstract

We introduce a new class of rules for resolving quasilinear social choice problems. These rules extend those of Green [7]. We call such rules multi-utilitarian rules. Each multi-utilitarian rule is associated with a probability measure over the set of weighted utilitarian rules, and is derived as the expectation of this probability. These rules are characterized by the axioms efficiency, translation invariance, monotonicity, continuity, and additivity. By adding recursive invariance, we obtain a class of asymmetric rules generalizing those Green characterizes. A multi-utilitarian rule satisfying strong monotonicity has an associated probability measure with full support.
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Suggested Citation

  • Christopher Chambers, 2005. "Multi-utilitarianism in two-agent quasilinear social choice," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 315-334, September.
    • Handle: RePEc:spr:jogath:v:33:y:2005:i:3:p:315-334
    DOI: 10.1007/s00182-005-0201-0
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    Cited by:

    1. Geoffroy de Clippel & Camelia Bejan, 2009. "No Profitable Decomposition in Quasi-Linear Allocation Problems," Working Papers 2009-6, Brown University, Department of Economics.
    2. de Clippel, Geoffroy & Bejan, Camelia, 2011. "No profitable decompositions in quasi-linear allocation problems," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1995-2012, September.

    More about this item

    Keywords

    social choice; quasilinear bargaining; recursive invariance; D63; D70; D71;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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