Behavioral social choice : probabilistic models, statistical by Michel Regenwetter, Bernard Grofman, A. A. J. Marley, Ilia PDF

By Michel Regenwetter, Bernard Grofman, A. A. J. Marley, Ilia Tsetlin

ISBN-10: 0521536669

ISBN-13: 9780521536660

ISBN-10: 0521829682

ISBN-13: 9780521829687

During this quantity, whereas taking a look at the probabilistic foundations of collective decision-making principles, the authors problem a lot of the prevailing theoretical knowledge approximately social selection strategies, and search to revive religion within the chance of democratic determination making. specifically, they argue that concerns concerning the meant occurrence of majority rule cycles that might avert teams from attaining a last selection approximately what substitute they like were drastically overstated. In perform, majority rule might be anticipated to paintings good in so much real-world settings. they supply new insights into how replacement version standards can switch our estimates of social orderings.

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Extra info for Behavioral social choice : probabilistic models, statistical inference, and applications

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Eous y v10 ate NB NM d .. d"nu ro ma1onty rule Consid £ , , an NW yet are transmve accor 1 " . · er or example tw0 . ' . I one voter with each of the c ' voters with preference ordering abc, P us .. : . k en s value restnct1on conditions are violated 10 uVe IS ran ed t h .. a eac position at least once. real-world data. 3 However, we may still have transitivity of majority preferences when Sen's value restriction does not hold. In order to account for possible transitivities in settings where value restriction is violated, we provide new results that generalize Sen's theorem to "net preference probabilities" (for closely related concepts, see Feld and Grofman, 1986b; Gartner and Heinecke, 1978).

I one voter with each of the c ' voters with preference ordering abc, P us .. : . k en s value restnct1on conditions are violated 10 uVe IS ran ed t h .. a eac position at least once. real-world data. 3 However, we may still have transitivity of majority preferences when Sen's value restriction does not hold. In order to account for possible transitivities in settings where value restriction is violated, we provide new results that generalize Sen's theorem to "net preference probabilities" (for closely related concepts, see Feld and Grofman, 1986b; Gartner and Heinecke, 1978).

1 of Chapter 5. 3). ·' 1: Lack of Support for Majority Cycles 36 ... ' tied in the underlying culture, then a majority cycle in an infinite sam· pie must include that triple. m-l)/ 2 - m! potential intransitiv ities a positive probability. For that we need a culture of indifference for each triple. The only way to have a probability distribution on weak orders, whose marginal distribution on any triple of objects is a culture of indifferen ce, is to have a culture of indifference on the full set of weak orders.

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Behavioral social choice : probabilistic models, statistical inference, and applications by Michel Regenwetter, Bernard Grofman, A. A. J. Marley, Ilia Tsetlin


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