• 1. INTRODUCTION
  • 2. CHARACTERIZING OPTIMAL QUANTITIES
  • 3. CHARACTERIZING OPTIMAL TAXES
  • 4. A COMPLEMENTARITY RULE FOR ARBITRARILY MANY COMMODITIES
  • 5. EXAMPLES
  • 6. THE NORMALIZATION PROBLEM
  • 7. A BLUEPRINT FOR CLASSROOM PRESENTATION
  • 8. CONCLUSION
  • APPENDIX