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

PART I. Utility of each commodity assumed to be dependent only on

THE QUANTITY OF THAT COMMODITY.

Chapter I. Utility as a quantity. Page

$ 1. Psycho-economic postulate, . . . . . 11

§ 2. Definitions of equal and unequal utilities, . . 12

5 3. Application of these definitions to an equation of

exchange, ....... 12

§ 4. Definition of the ratio of two utilities, ... 14

$ 5. Analogy with other mathematical definitions, . . 17

5 6. Marginal utility, unit of utility, .... 17

$ 7. Exact meaning of a utility curve, .... 18

§ 8. Total utility, utility-value, gain or consumers rent, 19

$ 9. Element of time, ...... 19

$ 10. Utility curves for a time-period and for an instant, 20

§ 11. A yearly utility curve implies no exact foreknowl-edge of amounts consumed, .... 20

§ 12. Theory of probabilities partially eliminates sporadic

influences except as regards gain, . . . 21

§ 13. Infinitesimals appropriate though non-existent, . 22

$ 14. The preceding definitions of utility absolve theeconomist from psychological and metaphysicaldisputes, ........ 23

§ 15. Summary of Chapter I, ..... 23

Chapter II. Mechanism.

$ 1. Mechanical analogy common in economic thought, 24

$ 2. Ideal suppositions concerning the market, . . 25

§ 3. A new utility diagram. Its related cistern (Eig. 2), 25

§ 4. A single commodity and a single consumer, . . 26

§ 5. One commodityone producer; disutility diagram

and cistern (Pig. 3), . . . . .27

5 6. One commoditymany consumers (Pig. 4), . . 28

§ 7. Analytical interpretation of § 6, . . . . 29

§ 8. Aggregate commodity, ..... 30

§ 9. One commoditymany producers (Pig. 5), . . 30

§ 10. Preceding simply gives exactitude to the common

imagery of thought, ...... 31