A REFORMULATION OF THE MARGINAL PRODUCTIVITY THEORY OF DISTRIBUTION

Reformulating marginal productivity theory by replacing productivity with respect to commodities with productivity with respect to persons and then defining perfectly competitive equilibrium as an allocation at which each person receives the marginal product of his/her contribution called a no-surplus allocation there emerges a competitive theory of price determination. Characterizations of no-surplus allocations are given in models with a nonatomic continuum of agents and an infinite-dimensional commodity space. Comparisons between the no-surplus and Walrasian equilibrium definitions of competitive equilibrium are made and some sufficient conditions are obtained for the existence of a no-surplus allocation.

[1]  S. Yamamuro,et al.  Differential Calculus in Topological Linear Spaces , 1974 .

[2]  Andreu Mas-Colell,et al.  A model of equilibrium with differentiated commodities , 1975 .

[3]  The use of prices to characterize the core of an economy , 1969 .

[4]  J. Schwartz,et al.  Linear Operators. Part I: General Theory. , 1960 .

[5]  H. Sonnenschein,et al.  Some theorems on the existence of competitive equilibrium , 1975 .

[6]  John R. Giles,et al.  Convex analysis with application in the differentiation of convex functions , 1982 .

[7]  K. Vind,et al.  EDGEWORTH-ALLOCATIONS IN AN EXCHANGE ECONOMY WITH MANY TRADERS , 1964 .

[8]  Oliver Hart,et al.  Monopolistic competition in a large economy with differentiated commodities , 1979 .

[9]  J. J. Uhl.  The range of a vector-valued measure , 1969 .

[10]  Douglas Gale.  A Geometric Duality Theorem with Economic Applications , 1967 .

[11]  L. Shapley,et al.  ON MARKET GAMES , 1969, Classics in Game Theory.

[12]  R. Aumann.  Markets with a continuum of traders , 1964 .

[13]  L. Shapley,et al.  Values of Non-Atomic Games , 1974 .

[14]  Joseph M. Ostroy,et al.  The No-Surplus Condition as a Characterization of Perfectly Competitive Equilibrium , 1980 .

[15]  Harvey J. Greenberg,et al.  A Review of Quasi-Convex Functions , 1971, Oper. Res..

[16]  G. J. O. Jameson.  J. R. Giles, Convex analysis with application in the differentiation of convex functions (Research Notes in Mathematics No. 58, Pitman, 1982), £9.95. , 1983 .

[17]  J. Geanakoplos.  The Bargaining Set and Nonstandard Analysis. , 1978 .

[18]  M. Richter.  Coalitions, core, and competition , 1971 .

[19]  Joseph M. Ostroy,et al.  Gradients, subgradients, and economic equilibria , 1983 .

[20]  E. Asplund.  Fréchet differentiability of convex functions , 1968 .

[21]  T. Bewley,et al.  The Equality of the Core and the Set of Equilibria in Economies with Infinitely Many Commodities and a Continuum of Agents , 1973 .

[22]  R. Shephard.  Cost and production functions , 1953 .

[23]  Gerard Debreu.  Preference Functions on Measure Spaces of Economic Agents , 1967 .

[24]  Louis Makowski,et al.  A characterization of perfectly competitive economies with production , 1980 .