Kukushkin, Nikolai S. (2010): On the existence of mostpreferred alternatives in complete lattices.

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Abstract
If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather weak analog of the condition, then it admits a maximizer on every subcomplete sublattice if and only if it admits a maximizer on every subcomplete subchain
Item Type:  MPRA Paper 

Original Title:  On the existence of mostpreferred alternatives in complete lattices 
Language:  English 
Keywords:  lattice optimization; quasisupermodularity 
Subjects:  D  Microeconomics > D1  Household Behavior and Family Economics > D11  Consumer Economics: Theory C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C61  Optimization Techniques; Programming Models; Dynamic Analysis 
Item ID:  27504 
Depositing User:  Nikolai S. Kukushkin 
Date Deposited:  17. Dec 2010 00:11 
Last Modified:  18. Feb 2013 05:51 
References:  Agliardi, E., 2000. A generalization of supermodularity. Economics Letters 68, 251254. Gillies, D.B., 1959. Solutions to general nonzerosum games. In: Tucker,~A.W., and R.D.~Luce (Eds.) Contributions to the Theory of Games 4 (Annals of Mathematical Studies 40). Princeton University Press, 4785. Kukushkin, N.S., 2008a. Maximizing an interval order on compact subsets of its domain. Mathematical Social Sciences 56, 195206. Kukushkin, N.S., 2008b. Monotonicity Conditions, Monotone Selections, and Equilibria. Russian Academy of Sciences, Dorodnicyn Computing Center, Moscow. Kukushkin, N.S., 2009. Another characterization of quasisupermodularity. Munich Personal RePEc Archive Paper. Available at http://mpra.ub.unimuenchen.de/18237/ Li Calzi, M., and A.F. Veinott, Jr., 1992. Subextremal functions and lattice programming. Unpublished manuscript. Available at http://ideas.repec.org/p/wpa/wuwpge/0509001.html Milgrom, P., and C. Shannon, 1994. Monotone comparative statics. Econometrica 62, 157180. Shannon, C., 1995. Weak and strong monotone comparative statics. Economic Theory 5, 209227. Smith, T.E., 1974. On the existence of mostpreferred alternatives. International Economic Review 15, 184194. Veinott, A.F., Jr., 1989. Lattice Programming. Unpublished lectures. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/27504 