In studying General Equilibrium Theory the student must master first the theory and then apply it to solve problems. At the graduate level there is no book devoted exclusively to teaching problem solving. This book teaches for the first time the basic methods of proof and problem solving in General Equilibrium Theory.

Contents: The Arrow-Debreu Model: Preferences and utility functions.- Maximal elements.- Demand functions.- Exchange economies.- Optimality in exchange economies.- Optimality and decentralization.- Production economies.- Riesz Spaces of Commodities and Prices: Partially ordered vector spaces.- Positive linear functionals.- Topological Riesz spaces.- Banach lattices.- Markets With Infinitely Many Commodities: The economic models.- Proper and myopic preferences.- Edgeworth equilibria and the core.- Walrasian equilibria and quasiequilibria.- Pareto optimality.- Examples of exchange economies.- Production With Infinitely Many Commodities: The model of a production economy.- Edgeworth equilibria and the core.- Walrasian equilibria and quasiequilibria.- Approximate supportability.- Properness and the welfare theorems.- The Overlapping Generations Model: The setting of the OLG model.- The OLG commodity-price duality.- Malinvaud optimality.- Existence of competitive equilibria.