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Suppose a Legislative Assembly Is Considering a New Bill n\mathrm { n }

question 2

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Suppose a legislative assembly is considering a new bill ( n\mathrm { n } ) to replace existing law (e) , and two amendments (ax,ay) \left( \mathrm { a } _ { \mathrm { x } } , \mathrm { a } _ { \mathrm { y } } \right) are considered. The results of all pairwise comparisons are given in the table.
 Pair  How Representatives Rank the Pair n and axax>nn and ayn>ayn and exn>eax and ayay>axax and eax>eay and ee>ay\begin{array}{c|c}\text { Pair } & \text { How Representatives Rank the Pair } \\\hline \mathrm{n} \text { and } \mathrm{a}_{\mathrm{x}} & \mathrm{a}_{\mathrm{x}}>\mathrm{n} \\\mathrm{n} \text { and } \mathrm{a}_{\mathrm{y}} & \mathrm{n}>\mathrm{a}_{\mathrm{y}} \\\mathrm{n} \text { and } \mathrm{e}_{\mathrm{x}} & \mathrm{n}>\mathrm{e} \\\mathrm{a}_{\mathrm{x}} \text { and } \mathrm{a}_{\mathrm{y}} & \mathrm{a}_{\mathrm{y}}>\mathrm{a}_{\mathrm{x}} \\\mathrm{a}_{\mathrm{x}} \text { and } \mathrm{e} & \mathrm{a}_{\mathrm{x}}>\mathrm{e} \\\mathrm{a}_{\mathrm{y}} \text { and } \mathrm{e} & \mathrm{e}>\mathrm{a}_{\mathrm{y}}\end{array}

If Amendment aX\mathrm { a } _ { \mathrm { X } } is proposed and then Amendment ay\mathrm { a } _ { \mathrm { y } } , the order of the sequential pairwise comparisons needed to determine the legislative outcome is n,ax,ay,en , a _ { x } , a _ { y } , e . What is the choice of the representatives in this case?


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