8 



Syllabus. 



PAET II. Utility of one commodity a function of the quantities of all 



COMMODITIES. 



Chapter T. Two cormnodities ivith interrelated utilities. 



§ 1. Introduction, ...... 



§ 2. Interdependence of utilities couimon, 



§ 3. Effect on the cistern-analysis, 



§ 4. Competing and completing commodities defined 



§ 5. Cistern- analysis correct but incomplete, 



§ 6. The third definition of utility (Part I, Ch. I), 



§ 7. Two commodities, ..... 



§ 8. Impossible combinations of two commodities, 



§ 9. Curves of utility, ..... 



§ 10. Indifference curves, ..... 



§ 11. Partial income line tangent to indifference curve, 



§ 12. Different sensitiveness of competing and completing 

 commodities, ....... 



§ 13. Good and poor qualities of the same commodity, 



§14. ** Maximum directions," ..... 



§ 15. '* Maximum directions " of all consumers parallel, 



§16. Production, ....... 



§ 17. Production and consumption, .... 



Chapter II. Three or more commodities. 



§ 1. Construction in three dimensions, 



§ 2. Complicated dependence of utilities, 



§ 3. Equilibrium if only three commodities exist, 



§ 4. Passage to two dimensions by plane sections, 



§ 5. m dimensions requisite, .... 



§ 6, m dimensions used, ..... 



§ 7. Conditions of equilibrium, 



§ 8. Passage to lower dimensions by " fiat " sections, 



§ 9. Analytical (vector analysis), 



§ 10. Peculiar cases of marginal utility. 



Chapter III, Mechanical analogies. 



§ 1. Mechanical analogies discussed, 



§ 2. Analogies in parallel columns, .... 



Chapter IV, Utility as a quantity. 



§ 1, No need to compare two persons' utilities, . 

 § 2, How such a comparison might be made, 

 § 3. How it could be applied to statistics, . 

 § 4. Definition (3) (Part I, Ch. I) unessential in Part II, 

 §5. " Maximum direch'o?is " alone important, 

 § 6. Integration of total utility probably impossible for in- 

 terrelated utilities, ..... 

 § 7. Arbitrary constants unessential, 

 § 8. Four attributes of utility unessential in the present in- 

 vestigation, ...... 



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