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Mathematical investigations in the theory of value and prices / by Irving Fisher
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Syllabus.

PART II. Utility or one commodity a function of the quantities of all

COMMODITIES.

Chapter I. Two commodities with interrelated utilities.

§ 1. Introduction, ......

$ 2. Interdependence of utilities common,

§ 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 completingcommodities, .......

$ 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,

J 3. Equilibrium if only three commodities exist, .

§ 4. Passage to two dimensions by plane sections,

§ 5. to dimensions requisite, ....

§ 6. to dimensions used, .....

$ 7. Conditions of equilibrium, ....

§ 8. Passage to lower dimensions byflat sections

J 9. Analytical (vector analysis),

5 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 directions alone important,

§ 6. Integration of total utility probably impossible for

interrelated utilities, .....§ 7. Arbitrary constants unessential, ....

§ 8. Four attributes of utility unessential in the present

investigation, .......

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