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2023 | nr 85 | 20
Tytuł artykułu

Local versions of Tarski's theorem for correspondences

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
For a strong set order increasing (resp., strongly monotone) upper order hemicontinuous correspondence F : A ⇒ A, where A is a complete lattice (resp., a σ-complete lattice), we provide sufficient conditions for tight fixed- point bounds for sufficiently large iterations F k(a0), starting from any point a0 ∈ A. Our results prove a local version of the Veinott-Zhou generalization of Tarski's theorem, as well as provide a new global version of the Tarski- Kantorovich principle for correspondences. (original abstract)
Rocznik
Numer
Strony
20
Opis fizyczny
Twórcy
  • University of Zielona Góra, Poland
  • Northwestern University, USA
  • Arizona State University, USA
  • SGH Warsaw School of Economics, Poland
Bibliografia
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  • Balbus, L., K. Reffett, Woźny Ł. (2015): Time consistent Markov policies in dynamic economies with quasi-hyperbolic consumers," International Journal of Game Theory", 44, 83-112.
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  • (2005): A short and constructive proof of Tarski's fixed-point theorem," International Journal of Game Theory, 33, 215-218.
  • Echenique, F. A. Edlin (2004): Mixed equilibria are unstable in games of strategic complements," Journal of Economic Theory", 118, 61-79.
  • Hopenhayn, H. A. E. C. Prescott (1992): Stochastic monotonicity and stationary distribution for dynamic economies," Econometrica", 60, 1387-1406.
  • Jachymski, J., L. Gajek, a P. Pokarowski (2000): The Tarski-Kantorovitch prinicple and the theory of iterated function systems,"Bulletin of the Australian Mathematical Society", 20, 247-261.
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  • Knaster, B. d A. Tarski (1928):Un theeoreme sur les fonctions d'ensembles,"Annales de la Societe Polonaise Mathematique", 6, 133-134.
  • Kunimoto, T. a T. Yamashita (2020): Order on types based on monotone comparative statics," Journal of Economic Theory", 189, 105082.
  • Li, H. J. Stachurski (2014): Solving the income fluctuation problem with unbounded rewards," Journal of Economic Dynamics and Control", 45, 353-365.
  • Mirman, L., O. Morand, K. Reffett (2008): A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory", 139, 75-98.
  • Olszewski, W. (2021a): On convergence of sequences in complete lattices, "Order", 38, 251-255.
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  • Van Zandt, T. (2010): Interim Bayesian Nash equilibrium on universal type spaces for super modular games," Journal of Economic Theory", 145, 249-263.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171662750

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