Mathematical Psychics¶
Edgeworth, F. Y. (1881). Mathematical Psychics: An Essay on the Application of Mathematics to the Moral Sciences.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Indifference Curves
- The construct was first articulated visually by Edgeworth (1881)
This sourceIntroduces the contract curve in mathematical economics — a precursor to the Pareto frontier — and represents the earliest systematic mathematical treatment of trade-offs between competing objectives.
Supported in partVerified against the work's full text
Edgeworth's text draws and names indifference-curves and contract curves in figures, but it does not itself claim to be first.
“The indifference-curves of the landlord if he have no other use for his land are horizontal lines”
- The construct was first articulated visually by Edgeworth (1881)
- Multiobjective Optimization
- This principle is a direct extension into optimization of Pareto's fundamental insight in welfare economics: that Pareto efficiency is a meaningful normative property (no one can be made better off without making someone worse off) that does not require interpersonal utility comparisons, while picking a specific Pareto-efficient allocation does require additional value judgments — a multi-criteria stance with mathematical-economics roots reaching back to Edgeworth (1881) and the contract-curve construction.
This sourceIntroduces the contract curve in mathematical economics — a precursor to the Pareto frontier — and represents the earliest systematic mathematical treatment of trade-offs between competing objectives.
Supported in partVerified against the work's full text
Edgeworth (1881) defines the contract curve and the no-mutual-gain condition, supporting the 1881 roots, but not Pareto or the interpersonal-comparison point.
“A settlement is a contract which cannot be varied with the consent of all the parties to it. A final settlement is a settlement which cannot be varied by recontract within the field of competition.”
- This principle is a direct extension into optimization of Pareto's fundamental insight in welfare economics: that Pareto efficiency is a meaningful normative property (no one can be made better off without making someone worse off) that does not require interpersonal utility comparisons, while picking a specific Pareto-efficient allocation does require additional value judgments — a multi-criteria stance with mathematical-economics roots reaching back to Edgeworth (1881) and the contract-curve construction.
- Trade-offs
- (3) Marginal rate of substitution: Along the frontier, a well-defined substitution rate exists
Supported in partVerified against the work's full text
Edgeworth shows indifference curves touching along the contract curve with defined slopes, which implies a common substitution rate, but he never names a marginal rate of substitution.
“Now, at the contract-curve the two indifference-curves for X and Y touch.”
- (3) Marginal rate of substitution: Along the frontier, a well-defined substitution rate exists
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