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Existence of equilibrium in an abstract economy without $SS$-convexity

General Topology 2020-12-04 v1

Abstract

In this paper, we introduce the concept of Δ\Delta-convexity in an abstract economy with all choice sets being general topological spaces. We give a new generalization of the classical Yannelis-Prabhakar equilibrium existence theorem in abstract economies by relaxing SSSS-convexity to Δ\Delta-convexity.

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Cite

@article{arxiv.2012.01640,
  title  = {Existence of equilibrium in an abstract economy without $SS$-convexity},
  author = {Ji-Cheng Hou and Jiling Cao},
  journal= {arXiv preprint arXiv:2012.01640},
  year   = {2020}
}

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9 pages