Convex preferences: Difference between revisions

Revision as of 14:14, 20 February 2011

Revision as of 19:02, 20 February 2011

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then it is the case that

:<math>\theta y + (1-\theta) z \succeq x </math> for any <math> \theta \in [0,1] </math>. <math>\succeq</math>

<math>\succeq</math> is ''strictly'' convex if for any

:<math>x, y, z \in X</math> where <math>y \succeq x </math> and <math>z \succeq x </math>, and <math> y \neq z</math>