期刊名称：Documents de Travail du Centre d'Economie de la Sorbonne
印刷版ISSN：1955-611X
出版年度：2017
出版社：Centre d'Economie de la Sorbonne
摘要：In this paper, we consider a production economy with an unboundedattainable set where the consumers may have non-complete nontransitivepreferences. To get the existence of an equilibrium, we providean asymptotic property on preferences for the attainable consumptionsand we use a combination of nonlinear optimization andfixed point theorem on truncated economies together with an asymptoticargument. We show that this condition holds true if the set of attainableallocations is compact or, when preferences are representableby utility functions, if the set of attainable individually rational utilitylevels is compact. This assumption generalizes the CPP condition ofAllouch (2002) and covers the example of Page et al. (2000) when theattainable utility levels set is not compact. So we extend the previousexistence results with non compact attainable sets in two ways byadding a production sector and considering general preferences.
关键词：production economy; non compact attainable allocations; quasiequilibrium;nonlinear optimization
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