Existence of an Equilibrium in a General Competitive Exchange Economy with Indivisible Goods and Money
AbstractWe introduce a general competitive exchange economy with indivisible goods and money. There are finitely many agents and finitely many indivisible goods. Each agent is initially endowed with several units of each indivisible good and certain amount of money. Money is treated as a perfectly divisible good. The agents¡¯ preferences depend on the bundle of indivisible goods and the quantity of money they consume. Preferences are quite general and are not required to be quasilinear in money. We derive a necessary and sufficient condition for the existence of a competitive equilibrium in the economy. The model and the existence results we provide here unify and extend most models and existence results that have appeared in the literature.
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Bibliographic InfoArticle provided by Society for AEF in its journal Annals of Economics and Finance.
Volume (Year): 3 (2002)
Issue (Month): 1 (May)
Indivisibility; Equilibrium; Fixed point; Discrete optimization;
Find related papers by JEL classification:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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