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	Leontief Price Model	Input-Output Analysis
Field	Economics	Economics
Family	Process / pipeline	Process / pipeline
Year of origin	1936	1936
Originator	Wassily Leontief (price dual formalized by Miller & Blair)	Wassily Leontief
Type	Linear cost-push price model dual to the quantity input-output system	Linear inter-industry accounting and impact model
Seminal source	Miller, R. E., & Blair, P. D. (2009). Input-Output Analysis: Foundations and Extensions (2nd ed.). Cambridge University Press. ISBN: 9780521739023	Leontief, W. W. (1936). Quantitative input and output relations in the economic system of the United States. The Review of Economics and Statistics, 18(3), 105–125.
Aliases	I-O Price Model, Dual Input-Output Model, Cost-Push Price Model, Input-Output Price Equation	Leontief Model, Inter-Industry Analysis, I-O Analysis, Input-Output Model
Related	4	4
Summary	The Leontief price model is the cost-side dual of the quantity input-output system: instead of asking how much each sector must produce to meet final demand, it asks what unit price each sector must charge to cover its intermediate-input costs plus its primary-input (value-added) payments. Solving the dual equation p' = p'A + v' gives p' = v'(I − A)^{-1}, so the same Leontief inverse that propagates quantities also propagates costs, making the model the standard tool for tracing how a change in wages, taxes, or imported-input prices pushes through the entire price structure.	Input-output analysis is a quantitative framework for representing the interdependence between the industries of an economy, introduced by Wassily Leontief in 1936. It records the flows of goods and services between sectors in a transactions table, derives fixed technical coefficients describing how much each industry buys from every other industry per unit of output, and inverts the resulting linear system to trace how an exogenous change in final demand ripples through the entire production structure.