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Direct Proofs of Generic Finiteness of Nash Equilibrium Outcomes
Author(s) -
Govindan Srihari,
Wilson Robert
Publication year - 2001
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.1111/1468-0262.00213
Subject(s) - mathematical proof , mathematical economics , citation , library science , computer science , economics , mathematics , geometry
Using elementary techniques from semi-algebraic geometry, we give short proofs of two generic ¯nitenessresultsforequilibriaofnitegames. Foreach assignmentofgenericpayo®stoaxed normalform or to an extensive form with perfect recall, the Nash equilibria induce anite number of distributions over the possible outcomes.