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Target achieving portfolio under model misspecification: quadratic optimization framework

Dariusz Zawisza (2012)

Applicationes Mathematicae

We incorporate model uncertainty into a quadratic portfolio optimization framework. We consider an incomplete continuous time market with a non-tradable stochastic factor. Two stochastic game problems are formulated and solved using Hamilton-Jacobi-Bellman-Isaacs equations. The proof of existence and uniqueness of a solution to the resulting semilinear PDE is also provided. The latter can be used to extend many portfolio optimization results.

Tarification par des jeux coopératifs avec demandes élastiques

F. Bendali, J. Mailfert, A. Quilliot (2001)

RAIRO - Operations Research - Recherche Opérationnelle

Nous proposons ici un modèle de Tarification basé sur une extension du formalisme des Jeux Coopératifs et qui prend en compte la notion d’Élasticité de la Demande. Nous présentons pour ce modèle un résultat d’existence ainsi qu’un algorithme de calcul associé. Nous interprétons enfin ce nouveau concept dans le cas d’un problème de production et nous le prolongeons au cas d’un problème de transport.

Tarification par des jeux Coopératifs avec Demandes Élastiques

F. Bendali, J. Mailfert, A. Quilliot (2010)

RAIRO - Operations Research

We propose here a pricing Model which is an extension of the Cooperative Game concept and which includes a notion of Elastic Demand. We present some existence results as well as some algorithms. We conclude by discussing this model in the context of some Production and Transportation problems.

The convergence of the core of a fuzzy exchange economy

Xia Zhang, Hao Sun, Moses Olabhele Esangbedo, Xuanzhu Jin (2021)

Kybernetika

This paper focuses on a new model called fuzzy exchange economy (FXE), which integrates fuzzy consumption, fuzzy initial endowment and the agent’s fuzzy preference (vague attitude) in the fuzzy consumption set. Also, the existence of the fuzzy competitive equilibrium for the FXE is verified through a related pure exchange economy. We define a core-like concept (called weak fuzzy core) of the FXE and prove that any fuzzy competitive allocation belongs to the weak fuzzy core. The fuzzy replica economy,...

The equal split-off set for cooperative games

Rodica Branzei, Dinko Dimitrov, Stef Tijs (2006)

Banach Center Publications

In this paper the equal split-off set is introduced as a new solution concept for cooperative games. This solution is based on egalitarian considerations and it turns out that for superadditive games the equal split-off set is a subset of the equal division core. Moreover, the proposed solution is single valued on the class of convex games and it coincides with the Dutta-Ray constrained egalitarian solution.

The even-odd hat problem

Daniel J. Velleman (2012)

Fundamenta Mathematicae

We answer a question of C. Hardin and A. Taylor concerning a hat-guessing game.

The game of End-Nim.

Albert, Michael H., Nowakowski, Richard J. (2001)

The Electronic Journal of Combinatorics [electronic only]

The hexad game.

Kahane, Joseph, Ryba, Alexander J. (2001)

The Electronic Journal of Combinatorics [electronic only]

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