s: a motorist's dilemma 3 t, that pure strategy combination GW is selected: go, San decides to wait. Then Nan's delay is zero. at WG is selected: San decides to go, Nan decides an's delay is T2, the time it takes San to cross the e, next, that WW is selected: both decide to wait. bout of rapid gesticulation, after which it is still the an or San is first to proceed they can't just sit there w it is decided who—given WW—should go first is, e within the game of Crossroads, but we shall not l it explicitly rather, we shall simply assume that the e then equally likely to be first to turn. Accordingly, motorist who (given WW) turns first. Then F is a whose sample space is {Nan, San}, and b(F - Nan) = \, Prob(F = San) = \. ing that F could easily be converted to an integer- ariable by labelling Nan as 1 and San as 2, but it is not to do so. first (F = Nan), then she suffers a delay of only e urns first (F = San), then Nan—from whose view- lyzing the confrontation—suffers a delay of e + r2. d value of Nan's delay (given WW) is (F - Nan) + (e + r2) Prob(F = San) - e + \r2. ally, that GG is selected: both decide to go. Then inor skirmish, of duration 5, which one of the players win. Let random variable V, with sample space ote the victor (given GG) and suppose that if Player en the time she takes to negotiate the junction (given reater than she would have taken anyway, i.e., 8-\-r^. is especially aggressive, then it seems reasonable to h is as likely as the other to find her path cleared .2) holds with V in place of F. If, given GG, Nan is Nan), then her delay is only 8 whereas if San is the , then Nan's delay is 5 + r2. SO the expected value of GG, is 8 Prob(F = Nan) + (8 + r2) Prob(V = San) alogy with (1.3).
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