Econometrica: Oct 1964, Volume 32, Issue 4

Equilibrium among Spatially Separated Markets: A Reformulation<510:EASSMA>2.0.CO;2-I
p. 510-524

G. G. Judge, T. Takayama

This paper reformulates the Samuelson model concerning competitive equilibrium among spatially separated markets. Assuming the existence of linear regional demand and supply relations, the problem of interconnected competitive markets is converted into a quadratic programming problem and a computational algorithm is specified which may be used to obtain directly and efficiently the optimum solution. The existence, uniqueness, and regularity of the solution are discussed, and an example is given to indicate the structure of the programming tableau.

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