Syllabus. xi
APPENDIX I. Miscellaneous remarks on Part I.
Page
I. Failure of equations, ......... 90
II. The cisterns and diagrams of Part I compared with the diagrams ofJevons and of Auspitz und Lieben.
$ 1. Possible geometrical representations of commodity
and utility, .......
91
5
2.
Scheme comparing the cistern-coordinates with those
of Jevons and of Auspitz und Lieben,
92
i
3.
A linear assumption, ......
93
i
4 .
The relative value of the diagrams,
94
}
5.
Properties essential to the cisterns,
94
$
6.
Meaning of the abscissa, .....
95
5
7 .
Total utility and gain, .....
95
Gain a maximum. '
5
1.
For one individual, ......
97
5
2.
For one commodity and in what sense true, .
98
$
3.
For whole market and in what sense true,
98
i
4 .
Under what conditions would the total market gain
be maximum if we could obtain the “true”equivalence between two persons’ utilities, .
99
Elimination of variables, ........
100
Each price is the quotient of two determinants, and allequations can be reduced to a single set involving com-modities only.
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 occasionallyvary in a manner opposite to that which has beensupposed, ....... 106
$ 11. Markets are not isolated and there is no perfect
market, ........ 106