We provide a proof of the existence of a (quasi-)equilibrium in an exchange economy with short selling when the preference relations of the investors are represented by a partial preorder, a setting which encompasses the case of preference relations derived from a utility function. A second purpose of this paper is to compare our Weak Bounded Arbitrage condition with some other concepts which can be found in the literature.
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Find related papers by JEL classification: C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General