Refer to the Bradley-Terry model. a. Show that log( ac / ca ) = log( ab /

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Refer to the Bradley-Terry model.

a. Show that log(Πacca) = log(Πabba) + log(Πbccb).

b. With this model, is it possible that a could be preferred to b (i.e., Πab > Πba) and b could be preferred to c, yet c could be preferred to a? Explain.

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