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The equivalence of strong positive association and strategy-proofness

The equivalence of strong positive association and strategy-proofness,10.1016/0022-0531(77)90140-5,Journal of Economic Theory,Eitan Muller,Mark A. Sat

The equivalence of strong positive association and strategy-proofness   (Citations: 91)
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Journal: Journal of Economic Theory - J ECON THEOR , vol. 14, no. 2, pp. 412-418, 1977
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    • ...Symmetrically, U (x, P) ={ y ∈ X : yRx } is the upper contour set of x at preference P. The following axiom is a weak version of strong positive association (see Muller and Satterthwaite 1977; Barberà and Dutta 1982)...

    Ronan Congaret al. A characterization of the maximin rule in the context of voting

    • ...Notice that Maskin-monotonicity is named after Eric Maskin who first showed its central role in mechanism design (see Maskin 1985), but it was first introduced in social choice theory by Muller and Satterthwaite (1977) under the name of “strong positive association”, as an equivalent property to nonmanipulability of social choice functions...
    • ...violates strategy-proofness if and only if it violates any of the two positive association versions studied in this article: we have recalled above the result of Muller and Satterthwaite (1977), and Peleg (1984, p. 28) proves the logical equivalence between strong monotonicity and Maskin-monotonicity; but the precise relationship between the sets of situations at which positive association and strategy-proofness are violated depends on the ...

    Boniface Mbihet al. On the positive association of parliamentary social choice functions

    • ...Muller and Satterthwaite (1977b) flnd an equivalent relation between strategy-proofness and strong monotonicity and generalize Gibbard-Satterthwaite theorem to their celebrated Muller-Satterthwaite theorem...

    Pingzhong Tang. Computer-Aided Theorem Discovery{ A New Adventure and its Application ...

    • ...10 Muller and Satterthwaite (1977) have proved the equivalence of strategyproofness and strong positive associationovertheuniversaldomainofcompleteorders.Themodifiedpositiveassociationpropertyisnecessary but not sufficient in general for strategyproofness...

    Michel Le Bretonet al. On the equivalence of coalitional and individual strategy-proofness pr...

    • ...This is a generalization of the Muller-Satterthwaite theorem [18] for strict complete orders...
    • ...Theorem 3 (Muller-Satterthwaite’s theorem [18])...
    • ...If f is unanimous and monotonic, then f is dictatorial. Proposition 1 ([18])...
    • ...In the following theorem we generalize the Muller-Satterthwaite’s theorem [18] to social choice functions over SIOs for weak dictators...

    Maria Silvia Piniet al. Aggregating Partially Ordered Preferences

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