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On constrained generalized games with action sets in non-locally-convex and non-Hausdorff topological vector spaces

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  • Khan, M. Ali
  • McLean, Richard P.
  • Uyanik, Metin

Abstract

This paper presents results on the existence of an equilibrium in the context of a typology consisting of qualitative, generalized and constrained generalized normal form games with the following features: (i) a set of players of arbitrary cardinality, (ii) action sets that may be non-compact subsets of a non-Hausdorff and non-locally convex space, (iii) individual preferences satisfying a weakened continuity postulate with origins in the literature on discontinuous strategic-form games. It reports four theorems and seven corollaries, and thereby brings together lines of work in game theory, Walrasian general equilibrium theory and applied mathematics in a synthetic overview that revolves around Browder’s fixed point theorem.

Suggested Citation

  • Khan, M. Ali & McLean, Richard P. & Uyanik, Metin, 2024. "On constrained generalized games with action sets in non-locally-convex and non-Hausdorff topological vector spaces," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    • Handle: RePEc:eee:mateco:v:111:y:2024:i:c:s0304406824000260
    DOI: 10.1016/j.jmateco.2024.102964
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