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In Fig. 9-7(a) point 1 is the centre of the box and, unless individuals have identical preference maps, cannot be on the contract curve.
Consumer theory uses the concepts of a budget constraint and a preference map to analyze consumer choices.
While the above arguments are a reflection of 'budget constraints', there is also the question of the preference map used in determining equilibrium work-leisure choices.
An individual consumer should choose to consume goods at the point where the most preferred available indifference curve on their preference map is tangent to their budget constraint.
Lexicographic preferences map a set of alternatives X onto a set of vectors, for which reason lexicographic preferences are also known as vector-valued preferences.
J. Wu, Z. Lin and C. Liou, "Formation and Variability of Orientation Preference Maps in Visual Cortex: an Approach Based on Normalized Gaussian Arrays", Int'l Workshop on Cellular Neural Networks and Their Applications, 2005.