ISSN:
1573-2878
Keywords:
Economic equilibria
;
stationary point problems
;
simplicial algorithms
;
simplicial subdivisions
;
adjustment processes
;
piecewise linear approximations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, a new variable-dimension simplicial algorithm is developed to compute economic equilibria on the Cartesian product of then-dimensional unit price simplexS n and them-dimensional production activity spaceR + m . The algorithm differs from other algorithms in the number of directions in which the algorithm may leave the starting point. More precisely, the algorithm has 2 n+m+1 –2 rays to leave the starting point, whereas the other algorithms have at most 2 m (n+1) rays. The path of points generated by the algorithm can be interpreted as a globally and universally convergent price and production adjustment process. The process as well as the convergence condition are much more natural and economically meaningful than the adjustment processes obtained by other simplicial algorithms. Furthermore, we apply the algorithm to economies with linear production, economies with constant returns to scale, and economies with increasing returns to scale.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02192139
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