1 Linear Inequalities -- 1 Some Fundamental Theorems -- 2 Linear Programming and Matrix Games -- 3 Convex Sets and Convex Cones -- 4 Nonlinear Programming -- 2 Nonnegative Matrices -- 1 The Perron-Frobenius Theorem -- 2 Power-Nonnegative Matrices -- 3 Some Special Matrices -- 1 P-, NP-, PN-, and...

Conditions sufficient for factor price equalization within any non-trivial subset of trading countries are provided. The conditions are that (a) the factor endowment ratios of countries in the subset are all bounded by the factors-in-use ratios in an equilibrium of the hypothetical world economy...

The classical gains-from-trade conjecture was finally given a thorough Arrow-Debreu proof in 1972. Since then, the proposition has been repeatedly challenged. Some of the challenges rest on grounds which in no respect violate Arrow-Debreu assumptions. Those challenges are therefore without...

The theory of involuntary international transfers (war indemnities) has been constructed on the assumption that the donor and recipient are completely indifferent to each other's well-being. The assumption is hard to justify since usually the transfers closely follow periods during which the...

The paper presents a general equilibrium model of a pure exchange economy with stochastic endowments, in which speculation in the forward market is profitable and stabilizes prices but is useless from a welfare point of view. Reconciling the Siegel paradox with the theory of incomplete markets,...

The main purpose of this note is to establish a precise version of the proposition that, in the context of a worldwide constituency, a customs union is more beneficial or less harmful than a comparable but distinct free trade association. It is shown that, corresponding to each feasible...

Pareto is sometimes credited with an early formulation of the ill-fated Hicks or Kaldor principles of hypothetical compensation. The basis for this claim is Pareto's 1894 article "Il massimo di utilita dato dalla libera concorrenza." However in that paper Pareto argued to the contrary, that in...

We develop a model of international trade with increasing returns to scale by taking into account the possibility of cooperation among agents in an egalitarian economy. It is shown that each country gains from trade in a trading world in which there are arbitrary numbers of increasing-returns-...

This paper presents a dynamic general equilibrium model of multi-country, two-good and two-factor, in which both long-run growth and international trade patterns are examined. In each country, government expenditure on a public intermediate good plays a crucial role in the realization of...