Monotone equilibria in nonatomic supermodular games. A comment

Games and Economic Behavior

Volumn 94, Issue , 2015, Pages 182-187

  Balbus, Łukasz ^a   Reffett, Kevin ^b   Woźny, Łukasz ^c  

^a UNIVERSITY OF ZIELONA GÓRA   (Poland)

^b ARIZONA STATE UNIVERSITY   (United States)

^c WARSAW SCHOOL OF ECONOMICS   (Poland)

Author keywords

Distributional equilibria; Games with strategic complementarities; Large games; Supermodular games

Indexed keywords

EID: 84949087589     PISSN: 08998256     EISSN: 10902473     Source Type: Journal    
DOI: 10.1016/j.geb.2015.05.010     Document Type: Note

References (16)

1. Aliprantis C.D., Border K.C. Infinite Dimensional Analysis. A Hitchhiker's Guide 2006, Springer Verlag, Heidelberg. 3rd edn.
2. Atsumi K. On complete lattices having the Hausdorff interval topology. Proc. Amer. Math. Soc. 1966, 17(1):197-199.
3. Balbus, Ł., Dziewulski, P., Reffett, K., Woźny, Ł., 2014. A qualitative theory of large games with strategic complementarities. Mimeo.
4. Balbus Ł., Dziewulski P., Reffett K., Woźny Ł. Differential information in large games with strategic complementarities. Econ. Theory 2015, 59(1):201-243.
5. Birkhoff G. Lattice Theory. American Mathematical Society Colloquium Publications 1967, vol. 25. Amer. Math. Soc., Providence, RI. 3rd edn.
6. Gierz G., Hofmann K.H., Keimel K., Lawson J.D., Mislove M., Scott D.S. Continuous Lattices and Domains. Encyclopedia of Mathematics and Its Applications 2003, vol. 93. Cambridge University Press.
7. Jech T. Stationary sets. Handbook of Set Theory 2010, Springer. M. Foreman, A. Kanamori (Eds.).
8. Markowsky G. Chain-complete posets and directed sets with applications. Algebra Universitae 1976, 6:53-68.
9. Schmeidler D. Equilibrium points of nonatomic games. J. Stat. Phys. 1973, 17(4):295-300.
10. Solovay R. Real-valued measurable cardinals. Axiomatic Set Theory 1971, Amer. Math. Soc., Providence, RI. D. Scott (Ed.).
11. Sun Y. The exact law of large numbers via Fubini extension and characterization of insurable risks. J. Econ. Theory 2006, 126(1):31-69.
12. Tarski A. A lattice-theoretical fixpoint theorem and its applications. Pacific J. Math. 1955, 5:285-309.
13. Veinott, 1992. Lattice programming: qualitative optimization and equilibria. MS Standford.
14. Vives X. Nash equilibrium with strategic complementarities. J. Math. Econ. 1990, 19:305-321.
15. Yang J., Qi X. The nonatomic supermodular game. Games Econ. Behav. 2013, 82(C):609-620.
16. Zhou L. The set of Nash equilibria of a supermodular game is a complete lattice. Games Econ. Behav. 1994, 7:295-300.