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The Progressive Second Price mechanism (PSP), recently introduced by
Lazar and Semret to share an
infinitely-divisible resource among users through pricing, has been shown to verify
very interesting properties.
Indeed, the incentive compatibility
property of that scheme, and the convergence to
an efficient resource allocation where established, using the framework
of Game Theory.
Therefore, that auction-based allocation and pricing scheme seems
particularly well-suited to solve congestion problems...
Mathematical models for financial asset prices which include, for example, stochastic volatility or jumps are incomplete in that derivative securities are generally not replicable by trading in the underlying. In earlier work [Proc. R. Soc. London, 2004], the first author provided a geometric condition under which trading in the underlying and a finite number of vanilla options completes the market. We complement this result in several ways. First, we show that the geometric condition is not necessary...
While making informed decisions regarding investments in customer retention and acquisition becomes a pressing managerial issue, formal models and analysis, which may provide insight into this topic, are still scarce. In this study we examine two dynamic models for optimal acquisition and retention models of a monopoly, the total cost and the cost per customer models. These models are analytically analyzed using classical, direct, methods and asymptotic expansions (for the total cost model). In...
While making informed decisions regarding
investments in customer retention and acquisition becomes a
pressing managerial issue, formal models and analysis, which may
provide insight into this topic, are still scarce. In this study
we examine two dynamic models for optimal acquisition and
retention models of a monopoly, the total cost and the cost per
customer models.
These models are analytically analyzed using classical, direct,
methods and asymptotic expansions (for the total cost model).
In...
In order to study the impact of fishing on a grouper population, we propose in this paper
to model the dynamics of a grouper population in a fishing territory by using structured
models. For that purpose, we have integrated the natural population growth, the fishing,
the competition for shelter and the dispersion. The dispersion was considered as a
consequence of the competition. First we prove, that the grouper stocks may be less
sensitive to the...
A simple personal saving model with interest rate based on random fluctuation of national growth rate is considered. We establish connections between the mean stochastic stability of our model and the deterministic stability of related partial difference equations. Then the asymptotic behavior of our stochastic model is studied. Although the model is simple, the techniques for obtaining its properties are not, and we make use of the theory of abstract Banach algebras and weighted spaces. It is hoped...
The paper studies optimal portfolio selection for discrete time
market models in mean-variance and goal achieving setting. The
optimal strategies are obtained for models with an observed process
that causes serial correlations of price changes. The optimal
strategies are found to be myopic for the goal-achieving problem and
quasi-myopic for the mean variance portfolio.
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