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Benaim, Michel

Nom
Benaim, Michel
Affiliation principale
Fonction
Professeur ordinaire
Email
michel.benaim@unine.ch
Identifiants
https://libra.unine.ch/handle/123456789/457

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  • Publication
    Métadonnées seulement
    A generalised Pólya?s urn with graph-based interactions
    (2015)
    Benaim, Michel 
    ;
    Benjamini, I
    ;
    Chen, J
    ;
    Lima, Y
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    A Bakry-Emery Criterion for self-interacting diffusions
    (: Springer, 2008)
    Benaim, Michel 
    ;
    Raimond, Olivier
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    Metric properties of the group of area preserving diffeomorphisms
    (2001)
    Benaim, Michel 
    ;
    Gambaudo, Jean-Marc
    Area preserving diffeomorphisms of the 2-disk which are identity near the boundary form a group D-2 which can be equipped, using the L-2-norm on its Lie algebra, with a right invariant metric. With this metric the diameter of D-2 is infinite. In this paper we show that D-2 contains quasi-isometric embeddings of any finitely generated free group and any finitely generated abelian free group.
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    Standardization in decentralized economies
    (2000)
    Auriol, Emmanuelle
    ;
    Benaim, Michel 
    This paper presents a dynamic model, inspired by evolutionary game theory, of how standards and norms emerge in decentralized economies. It shows that standardization outcomes depend on adopters' attitudes to problems caused by incompatibility. If individuals display aversion to incompatibility, standardization never fails to happen eventually, but societies sometimes end up picking inferior standards. In this case, official action can be useful to quickly achieve sensible standardization. On the other hand, when individuals display tolerance or neutrality to incompatibility, there is neither path-dependency nor a lock-in problem, and regulation seems a poor alternative to laissez-faire. (JEL C73, D62, L1).
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    Métadonnées seulement
    Generalized urn models of evolutionary processes
    (2004)
    Benaim, Michel 
    ;
    Schreiber, Sebastian
    ;
    Tarres, Pierre
    Generalized Polya urn models can describe the dynamics of finite populations of interacting genotypes. Three basic questions these models can address are: Under what conditions does a population exhibit growth? On the event of growth, at what rate does the population increase? What is the long-term behavior of the distribution of genotypes? To address these questions, we associate a mean limit ordinary differential equation (ODE) with the urn model. Previously, it has been shown that on the event of population growth, the limiting distribution of genotypes is a connected internally chain recurrent set for the mean limit ODE. To determine when growth and convergence occurs with positive probability, we prove two results. First, if the mean limit ODE has an "attainable" attractor at which growth is expected, then growth and convergence toward this attractor occurs with positive probability. Second, the population distribution almost surely does not converge to sets where growth is not expected and almost surely does not converge to "nondegenerate" unstable equilibria or periodic orbits of the mean limit ODE. Applications to stochastic analogs of the replicator equations and fertility-selection equations of population genetics are given.
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