Optimal choice

Summary

Optimal choice

  • Given: Two goods model with totally ordered weak preferences
  • \((x_1^*,x_2^*)\) is called the optimal choice , optimal bundle or the demand bundle if

\[(x_1^*,x_2^*)≽\left( x_1,x_2 \right)\]

  • for all bundles \(\left( x_1,x_2 \right)\) in the budget set

  • An optimal choice \((x_1^*,x_2^*)\) is said to be :
    • A Boundary solution if \(x_1^*=0\) or \(x_2^*=0\)
    • An Interior solution if \(x_1^*>0\) and \(x_2^*>0\)