"The dating problem", proposed in:

T. D. Nielsen and F. Jensen, "Representing and solving asymmetric bayesian decision problems," in Proceedings of the 16th Annual Conference on Uncertainty in Artificial Intelligence (UAI-2000), (S an Francisco, CA), pp. 416–425, Morgan Kaufmann, 2000.

It is described as follows:

"Joe has to decide whether or not to ask a girl he has recently met on a date. If Joe decides ot to ask her out he can choose either to stay at home and watch TV or visit a night club; before taking that decision Joe observes what programs will be on TV that night. The pleasure of staying at home is influenced by his liking of the program watched, whereas the pleasure of going to a night club is dependent on the comfort of going to that night club and the entrance fee; comfort is dependent on whether Joe likes the night club and whether he meets any friends there.

If Joe decides to ask her out her response will depend on her feelings towards him. If she declunes the date, Joe can decide to go to a night club or stay at home and watch TV; we assume that the two "staying at home scenarios are the same". If she accepts to go on a date with him, Joe will ask her whether she wants to go to a restaurant or to the movies. The choice of movie (decided by Joe) may influence her mood which in turn may influence Joe's satisfaction concerning the evening. Similarly, the choice of the menu (decided by Joe) might influence Joe's satisfaction."

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Whether Emily accepts to go out on a date with Joe.

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Emily's choice about what to do on the date: either watch a movie or go to a restaurant. (It is a chance node instead of a decision because in this problem Joe is the decision maker and Emily's decisions are not under his control.)

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Whether Emily likes Joe.

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Whether Joe likes the TV programme. (Liking it does not imply watching it.)

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Whether Joe enjoys watching the TV programme. (He might not enjoy it either because he doesn't like it or because he doesn't watch it.)

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Whether Joe likes the night club he visits.

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Whether Joe meets his friends at the night club.

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Whether Joe enjoys or not going to a night club.

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Emily's mood at the movie.

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Joe's experience at the movie.

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Emily's mood at the restaurant.

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Joe's experience at the restaurant.

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Decision of asking Emily on a date or not. If he decides to ask, the variable Accept is revealed; otherwise it is totally restricted. Therefore the variable Accept makes sense only he decides to ask.

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Decision of visiting a night club or not (and therefore staying at home).

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Joe's choice of movie: an action movie or a romantic comedy.

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Joe's choice of menu: expensive or cheap.

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Pleasure of watching TV.

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Fun at the night club.

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How much Joe enjoys going to a movie with Emily.

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How much Joe enjoys going to a restaurant with Emily.

]]> 0.01 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.99 0.01 0.0 0.0 0.25 0.75 0.0 0.0 0.65 0.35 0.0 0.0 0.15 0.85 0.15 0.85 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.22 0.78 0.0 0.0 0.16 0.84 OR / MAX 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.99 0.01 0.25 0.75 0.88 0.12 0.99 0.01 0.95 0.05 0.15 0.85 0.01 0.99 0.5 0.5 0.2 0.8 0.95 0.05 1.0 0.0 0.01 0.99 0.08 0.92 -10.0 10.0 -10.0 10.0 -10.0 10.0 -10.0 10.0 UNICRITERION