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Economic definition of true love (view source)
Revision as of 16:28, 25 February 2012
, 16:28, 25 February 2012→The Existance of True Love
Recall that a preference relation is rational if it is complete and transitive:
#Completeness: <math>\forall x,y \in X: \quad x \succsim y \;\or\; y \succsim x </math>#Transitivity: <math>\forall x,y,z \in X: \quad \mbox{if}\; \quad x \succsim y \;\and\; y \succsim x \;\mbox{then}\; x \succsim z</math>
Also recall the definition of the strict preference relation:
:<math>x \succ y \quad \Leftrightarrow \quad \quad x \succsim y \;\and\; y \nsuccsim x</math>
