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pro vyhledávání: '"Uyanik, Metin"'
We provide necessary and sufficient conditions for a correspondence taking values in a finite-dimensional Euclidean space to be open so as to revisit the pioneering work of Schmeidler (1969), Shafer (1974), Shafer-Sonnenschein (1975) and Bergstrom-Ra
Externí odkaz:
http://arxiv.org/abs/2310.00531
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 September 2024 537(1)
This paper presents four theorems that connect continuity postulates in mathematical economics to solvability axioms in mathematical psychology, and ranks them under alternative supplementary assumptions. Theorem 1 connects notions of continuity (ful
Externí odkaz:
http://arxiv.org/abs/2202.08415
Autor:
Uyanik, Metin, Khan, M. Ali
This paper presents six theorems and ten propositions that can be read as deconstructing and integrating the continuity postulate under the rubric of pioneering work of Eilenberg, Wold, von Neumann-Morgenstern, Herstein-Milnor and Debreu. Its point o
Externí odkaz:
http://arxiv.org/abs/2108.11736
Publikováno v:
In Journal of Mathematical Economics April 2024 111
Autor:
Khan, M. Ali, Uyanik, Metin
Publikováno v:
Positivity and its Applications, 2021
This chapter examines how positivity and order play out in two important questions in mathematical economics, and in so doing, subjects the postulates of continuity, additivity and monotonicity to closer scrutiny. Two sets of results are offered: the
Externí odkaz:
http://arxiv.org/abs/2007.01952
Autor:
Khan, M. Ali, Uyanik, Metin
Publikováno v:
Economic Theory, 2021
In a 1983 paper, Yannelis-Prabhakar rely on Michael's selection theorem to guarantee a continuous selection in the context of the existence of maximal elements and equilibria in abstract economies. In this tribute to Nicholas Yannelis, we root this p
Externí odkaz:
http://arxiv.org/abs/2006.16681
Autor:
Khan, M. Ali, Uyanik, Metin
Publikováno v:
Topology and Its Applications (2020)
On taking a non-trivial and semi-transitive bi-relation constituted by two (hard and soft) binary relations, we report a (i) p-continuity assumption that guarantees the completeness and transitivity of its soft part, and a (ii) characterization of a
Externí odkaz:
http://arxiv.org/abs/1912.12787
Akademický článek
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Autor:
Uyanik, Metin, Yengin, Duygu
Publikováno v:
In Games and Economic Behavior September 2023 141:548-580