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MBC: cross-effects and constraints

It seems tricky to apply constraints in MBC when the purpose is to measure cross-effects as well.

For example, if we have an availability variable for one choice option, we may want to constrain it so that whenever this option is available, its utility must be higher than the utility of "not available" for each respondent.
At the same time, as I figure, the same rule would be applied to all cross-effects involving that variable, and that goes against common sense: if a menu item is available, the choice probability of the other items on the menu list should be lower (if they're substitutes) than when this item is unavailable.

Do I get it right and one should avoid applying constraints on availability variables when cross-effects are estimated?

Kindly,
Igor
asked Mar 25, 2015 by IGaaa (190 points)

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