Behavioral social choice : probabilistic models, statistical - download pdf or read online

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 ideas, the authors problem a lot of the prevailing theoretical knowledge approximately social selection methods, and search to revive religion within the chance of democratic selection making. specifically, they argue that concerns concerning the meant incidence of majority rule cycles that may hinder teams from achieving a last determination approximately what replacement they like were drastically overstated. In perform, majority rule might be anticipated to paintings good in such a lot real-world settings. they supply new insights into how substitute version standards can swap our estimates of social orderings.

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

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Therefore, t is a weak order if and only if it is transitive. 5, is asymmetric (and thus antisymmetric). Therefore, >- is a strict weak order if and only if it is negatively transitive. More generally, >- is a strict partia l order zf and only if it is transitive. ::; is a weak order. "' ,~ • . ; The proof is in Appendix C. When tis transitive, then>- is also transitive. ::; is transiti not: Suppose that preferences are linear orders and that lP'({(a,b), (b, c), (a,c)}) = lP'({(a,b), (c, b), (c,a)} ) == Then, >- == {(a,b)}, which is transitive.

We now define NW, NM, and NB for net probab ilities on linear orders. 12 Given N' on . N'satisfiesNW(c) ' .. "•. - 1; f,. ", ' ,. _ 1An '< edc :':: O& {} N'ecd :':: {} N'cde :':: N'ecd =0, :S 0. ~en N' satisfies NB(a), we often also say for short that NetNB(a)is satisfied. The sam . 0ns and choice . a Iternatives. e app 1·1es tot he other cond1t1 Definition 1 2 13 N' · . { · · is margma l/y value restricted for t h e triple Y, zJ <; C if and only if there exists an elemen t c E {x, y, z) such that ,...

Instead, our approach of constraining the possible distributions of preferences over the full domain (via our net value restriction and net preference majority conditions) proves to be successful in providing descriptively valid constraints. 1 shows how the impartial culture and related assumptions form a worst case scenario for the 3 4 Of course, if we consider sufficiently politically homogenous subpopulations then the condition may hold. We see this in the Communist subgroup in Chapter 2. To be more precise: Sen considers strict weak order preferences and domain constraints within that family.

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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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