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(∊,k)EQUILIBRIA AND WELL-POSEDNESS

Marco Margiocco () and Lucia Pusillo ()
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Marco Margiocco: Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy
Lucia Pusillo: Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy

International Game Theory Review (IGTR), 2006, vol. 08, issue 01, 33-44

Abstract: The aim of this paper is to discuss a new concept of well-posedness for non cooperative games. Starting from the definition of(∊,k)equilibrium as the point where every player either guarantees at leastkor he (she) does not lose more than ∊, we introduce an original definition of well-posedness. We study characterizations of this well-posedness and its relations with the more known Tikhonov well-posedness. We prove that this well-posedness is an ordinal property if the payoff functions are bounded from below.

Keywords: Well-posedness; approximate equilibria; non cooperative games; Subject Classification: 91A10 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219198906000771

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