Czasopismo
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Warianty tytułu
Języki publikacji
Abstrakty
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
autor
- University of Zielona Góra, Poland
autor
- Northwestern University, USA
autor
- Arizona State University, USA
autor
- SGH Warsaw School of Economics, Poland
Bibliografia
- Acikgoz, O. T. (2018): On the existence and uniqueness of stationary equilibrium in Bewley economies with production," Journal of Economic Theory", 173, 18-55.
- Balbus, L., P. Dziewulski, K. Reffet, Woźny Ł.(2022): Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk,"Theoretical Economics", 17, 725-762.
- 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.
- Becker, R. A. J. P. Rincón-Zapatero (2021): Thompson aggregators, Scott continuous Koopmans operators, and least fixed point theory," Mathematical Social Sciences", 112, 84-97.
- Castaing, C. M. Valadier (1977): Convex Analysis and Measurable Multifunctions, Springer.
- Coleman, W. (1991): Equilibrium in a production economy with an income tax,"Econometrica", 59, 1091-1104.
- Cousot, P. R. Cousot (1979): Constructive versions of Tarski's fixed point theorems," Pacific Journal of Mathematics", 82, 43-57.
- Datta, M., K. Reffett, Ł. Woźny (2018): Comparing recursive equilibrium in economies with dynamic complementarities and indeterminacy," Economic Theory",66, 593-626.
- Dugundji, J. A. Granas (1982): Fixed Point Theory, Polish Scientific Publishers.
- Echenique, F. (2003): Mixed equilibria in games of strategic complementarities," Economic Theory", 22, 33-44.
- (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.
- Kamihigashi, T. (2014): Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence," Economic Theory",56, 251-273.
- Kikuchi, T., K. Nishimura, J. Stachurski (2018): Span of control, transaction costs, and the structure of production chains," Theoretical Economics", 13, 729-760.
- 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.
- (2021b): On sequences of iterations of increasing and continuous mappings on complete lattices," Games and Economic Behavior, 126, 453-459.
- Tarski, A. (1955): A lattice-theoretical fixpoint theorem and its applications," Pacific Journal of Mathematics", 5, 285-309.
- Van Zandt, T. (2010): Interim Bayesian Nash equilibrium on universal type spaces for super modular games," Journal of Economic Theory", 145, 249-263.
- Veinott (1992): Lattice programming: qualitative optimization and equilibria, Technical Report, Stanford.
- Zhou, L. (1994): \The set of Nash equilibria of a super modular game is a complete lattice," Games and Economic Behavior", 7, 295-300.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171662750