A short and constructive proof of Tarski's fixed-point theorem

International Journal of Game Theory

Volumn 33, Issue 2, 2005, Pages 215-218

  Echenique, Federico ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Games of strategic complimentarities; Supermodular games; Tarski's fixed point theorem

Indexed keywords

EID: 33644530065     PISSN: 00207276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001820400192     Document Type: Article

References (9)

1. Cousot P, Cousot R (1979) "Constructive Versions of Tarski's Fixed Point Theorems," Pacific J. of Math., 82(1):43-57
2. Dévidé V (1964) "On monotonous mappings of complete lattices," Fundamenta Mathematicae, 53(2): 147-154
3. Halmos PR (1974) Naive Set Theory. Springer Verlag
4. Smithson RE (1971) "Fixed Points of Order Preserving Multifunctions," Proc. Amer. Math. Soc., 28(1):304-310
5. Tarski A (1955) "A lattice theoretical fixpoint theorem and its applications," Pacific J. of Math, 5:285-309
6. Topkis DM (1998) Supermodularity and Complementarity. Princeton University Press, Princeton, New Jersey
7. Vives X (1990) "Nash Equilibrium with Strategic Complementarities, " Journal of Mathematical Economics, 19(3):305-321
8. (1999) Oligopoly Pricing. MIT Press, Cambridge, Massachusetts
9. Zhou L (1994) "The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice," Games and Economic Behavior, 7(2):295-300