SIMPLE EQUILIBRIA IN SEMI-INFINITE GAMES

Wojciech Połowczuk, Tadeusz Radzik () and Piotr Wiȩcek
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Wojciech Połowczuk: Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Tadeusz Radzik: Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Piotr Wiȩcek: Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

International Game Theory Review (IGTR), 2012, vol. 14, issue 03, 1-19

Abstract: In the paper two-person nonzero-sum semi-infinite games with bounded payoffs are studied — both with countable and uncountable infinite strategy space. Under some concavity/convexity assumptions they are shown to possess ε-equilibria (equilibria) in strategies with supports consisting of at most two points of the players' pure strategy spaces. Further the games without any concavity/convexity properties are studied. It is proved that they possess ε-equilibria (equilibria) in strategies having certain finite supports.

Keywords: Two-person game; semi-infinite game; bounded payoff; infinite strategy space; concave payoff function; 91A05; 91A10 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S021919891250017X

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