Syllabus. 



APPENDIX I. Miscellaneous remarks on Part I. 

 I. Failure of equations^ ......... 



II. The cisterns and diagrams of Part I compared ivith the diagrams of 

 Jevons and of Auspit^ und Lieben. 



§ 1. Possible geometrical representations of commodity and 

 utility, ......... 



§ 2. Scheme comparing the cistern-coordinates with those 

 of Jevons and of Auspitz und Lieben, 



§ 3. A linear assumption, . . . 



§ 4. The relative value of the diagrams, 



§ 5. Properties essential to the cisterns, 



§ 6. Meaning of the abscissa, 



§ 7. Total utility and gain, 



III. Gain a maximiun, 



§ 1. For one individual, ....... 



§ 2. For one commodity and in what sense true, 

 § 3. For whole market and in what sense true, 

 § 4. Under what conditions would the total market gain be 

 maximum if we could obtain the "true " equivalence 

 between two persons' utilities, .... 



IV. Elimination of variables, ......... 



Each price is the quotient of two determinants, and all equa- 

 tions can be reduced to a single set involving commodities 

 only. 



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 90 



91 



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93 



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94 



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94 







95 



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95 



97 



98 

 98 



99 

 101 



APPENDIX II. Limitations of the preceding analyses. 



§ 1. The suppositions were ideal, ..... 101 



§ 2. Utility a function of many variables, . . . 102 



§ 3. Articles not homogeneous nor infinitely divisible, . 102 



§ 4. Discontinuity in time, ...... 103 



§ 5. Statics and Dynamics, ...... 103 



§ 6. Population, ........ 104 



§ 7. No perfect individual freedom to stop producing (or 



consuming) at any point, . . . . . 104 



§ 8. No perfect knowledge of prices, . . . . 104 



§ 9. Production different from consumption in many im- 

 portant respects, . . . . . . . 105 



§ 10. Marginal utility and disutility may occasionally vary 

 in a manner opposite to that which has been sup- 

 posed, ......... lOG 



§ 11. Markets are not isolated and there is no perfect 



market, ......... 100 



