Article ID Journal Published Year Pages File Type
4647813 Discrete Mathematics 2012 8 Pages PDF
Abstract

It was recently shown that every totally tight two-person game form is acyclic, dominance-solvable, and hence, Nash-solvable too. In this paper, we exhibit an example showing that the first two implications fail for the three-person (n=3n=3) game forms. Yet, we show that the last one (total tightness implies Nash-solvability) still holds for n=3n=3 leaving the case n>3n>3 open.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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