Some Notes on Learning in Games with Strategic Complementarities
AbstractFictitious play is the classical myopic learning process, and games with strategic complementarities are an important class of games including many economic applications. Knowledge about convergence properties of fictitious play in this class of games is scarce, however. Beyond dominance solvable games, global convergence has only been established for games with strategic complementarities and diminishing marginal returns (Krishna, 1992, HBSWorking Paper 92-073). This result is known to depend critically on the assumption of a tie-breaking rule. We show that restricting the analysis to nondegenerate games allows us to drop this assumption. More importantly, an ordinal version of strategic complementarities turns out to suffice. As a byproduct, we also obtain global convergence in generalized ordinal potential games with diminishing marginal returns.
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Bibliographic InfoPaper provided by EconWPA in its series Game Theory and Information with number 0409001.
Length: 14 pages
Date of creation: 01 Sep 2004
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Fictitious Play; Learning Process; Strategic Complementarities; Supermodular Games;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-09-05 (All new papers)
- NEP-EVO-2004-09-05 (Evolutionary Economics)
- NEP-MIC-2004-09-05 (Microeconomics)
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