Displaying similar documents to “Complementarities and the existence of strong Berge equilibrium”

Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market

René Henrion, Jiří Outrata, Thomas Surowiec (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider an equilibrium problem with equilibrium constraints (EPEC) arising from the modeling of competition in an electricity spot market (under ISO regulation). For a characterization of equilibrium solutions, so-called M-stationarity conditions are derived. This first requires a structural analysis of the problem, , verifying constraint qualifications. Second, the calmness property of a certain multifunction has to be verified in order to justify using M-stationarity conditions....

Sur l'équilibre fort selon Berge

Moussa Larbani, Rabia Nessah (2010)

RAIRO - Operations Research

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In this paper we study the main properties of the strong Berge equilibrium, then we prove a theorem of its existence based on the Ky Fan inequality and finally, we provide an algorithm for its determination.

Dynamic Programming Principle for tug-of-war games with noise

Juan J. Manfredi, Mikko Parviainen, Julio D. Rossi (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider a two-player zero-sum-game in a bounded open domain Ω described as follows: at a point x ∈ Ω, Players I and II play an ε-step tug-of-war game with probability α, and with probability β (α + β = 1), a random point in the ball of radius ε centered at x is chosen. Once the...

-Bicomplete Categories and Parity Games

Luigi Santocanale (2010)

RAIRO - Theoretical Informatics and Applications

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For an arbitrary category, we consider the least class of functors containing the projections and closed under finite products, finite coproducts, parameterized initial algebras and parameterized final coalgebras, the class of functors that are definable by -terms. We call the category -bicomplete if every -term defines a functor. We provide concrete examples of such categories and explicitly characterize this class of functors for the category of sets and functions. This goal is achieved...

Dynamic Programming Principle for tug-of-war games with noise

Juan J. Manfredi, Mikko Parviainen, Julio D. Rossi (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider a two-player zero-sum-game in a bounded open domain Ω described as follows: at a point   Ω, Players I and II play an -step tug-of-war game with probability , and with probability ( +  = 1), a random point in the ball of radius centered at is chosen. Once the game position reaches the boundary, Player II pays Player I the amount given by a fixed payoff function . We give a detailed proof of the fact that...