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The example is a poor one as the yellow house compromises IS the best collective outcome. However, the poor example, does not obviate the paradox which was intended. I had a professor who pointed out the paradox, and it shows up with preference profiles which are non-linear. His example was voting for a policy, where one could have the govt implement 0 ...


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Your interpretation is wrong. Living entities group in order to increase the probabilities of survival, at the price of losing some advantages available if living alone. So, both persons on your example are not worse. They have more probabilities of survival, at the cost of painting their houses in a color they dislike, or not being able to build their ...


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The paint color metaphor was used a while ago during Brexit debates, when "sources" suggested that indicative votes "will leave us with an Auf Wiedersehen, Pet Brexit'". Auf Wiedersehen, Pet is an old TV show about seven British construction workers. In one of the episodes they pick a color to paint their shed by making lists of preferences. The winner is ...


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I don't recall this particular example as being notable in any way — i.e., it's not frequently used in and of itself, or the preferred case of some particular theoretician that I know of — but it is typical of the kind of case often used in rational actor theory and game theory. A cursory google search turned up nothing directly relevant. Such is life... I ...


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If they had not compromised then each neighbour's house would be an 'eyesore' or together they would make an eyesore. (The example seems indeterminate as to which applies.) If they do compromise then each neighbour's house is less than, or less of, an eyesore. So they appear to benefit from the compromise: the result is less unfavourable than if they had not ...


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The basic problem in the Arrow paradox is that it refers to the arrow's position but completely omits the arrow's momentum. I.e an arrow in motion has more physical properties than just a position at any given moment, but the description of the situation doesn't acknowledge this (which is understandable, as it took a long time before people even conceived ...


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