Existence and Optimality of Competitive Equilibria

1: The Arrow-Debreu Model.- 1.1. Preferences and Utility Functions.- 1.2. Maximal Elements.- 1.3. Demand Functions.- 1.4. Exchange Economies.- 1.5. Optimality in Exchange Economies.- 1.6. Optimality and Decentralization.- 1.7. Production Economies.- 2: Riesz Spaces of Commodities and Prices.- 2.1. Partially Ordered Vector Spaces.- 2.2. Positive Linear Functionals.- 2.3. Topological Riesz Spaces.- 2.4. Banach Lattices.- 3: Markets with Infinitely Many Commodities.- 3.1. The Economic Models.- 3.2. Proper and Myopic Preferences.- 3.3. Edgeworth Equilibria and the Core.- 3.4. Walrasian Equilibria and Quasiequilibria.- 3.5. Pareto Optimality.- 3.6. Examples of Exchange Economies.- 4: Production with Infinitely Many Commodities.- 4.1. The Model of a Production Economy.- 4.2. Edgeworth Equilibria and the Core.- 4.3. Walrasian Equilibria and Quasiequilibria.- 4.4. Approximate Supportability.- 4.5. Properness and the Welfare Theorems.- 5: The Overlapping Generations Model.- 5.1. The Setting of the OLG Model.- 5.2. The OLG Commodity-Price Duality.- 5.3. Malinvaud Optimality.- 5.4. Existence of Competitive Equilibria.- References.