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Equilibrium theory with satiable and non-ordered preferences

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  • Won, Dong Chul
  • Yannelis, Nicholas C.

Abstract

This paper investigates the existence of equilibrium in an economy where preferences may be non-ordered and possibly satiable. Remarkably, satiation is allowed to occur only inside the set of feasible and individually rational allocations. One important class of its applications is new developments of asset pricing models where Knightian uncertainty makes preferences incomplete while the absence of a riskless asset makes them satiable. Thus, the result of the paper extends Won et al. (2008) to the case that preferences need be neither complete nor transitive.

Suggested Citation

  • Won, Dong Chul & Yannelis, Nicholas C., 2011. "Equilibrium theory with satiable and non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 245-250, March.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:245-250
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    References listed on IDEAS

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    1. Miyazaki, Kentaro & 宮崎, 健太郎 & Takekuma, Shin-Ichi & 武隈, 愼一, 2012. "On the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2012-05, Graduate School of Economics, Hitotsubashi University.
    2. Pınar, Mustafa Ç., 2014. "Equilibrium in an ambiguity-averse mean–variance investors market," European Journal of Operational Research, Elsevier, vol. 237(3), pages 957-965.
    3. Miyazaki, Kentaro & 宮崎, 健太郎 & Takekuma, Shin-Ichi & 武隈, 愼一, 2013. "A note on the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2013-14, Graduate School of Economics, Hitotsubashi University.

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