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On the Structure of Cooperative and Competitive Solutions for a Generalized Assignment Game
(Hindawi Publishing Corporation, 2014-02)
We study cooperative and competitive solutions for a many-to-many generalization of Shapley and Shubik’s (1971) assignment game. We consider the Core, three other notions of group stability, and two alternative definitions ...
On Cooperative Solutions of a Generalized Assignment Game: Limit Theorems to the Set of Competitive Equilibria
(Elsevier, 2014-10-03)
We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We establish that the Set-wise stable set is contained in the Core and contains ...
The Multiple-partners assignment game with heterogeneous sells and multi-unit demands: competitive equilibria
(Springer Heidelberg, 2012-06)
A multiple-partners assignment game with heterogeneous sales and multi-unit demands consists of a set of sellers that own a given number of indivisible units of potentially many different goods and a set of buyers who value ...
A note on the multiple partners assignment game
(ELSEVIER SCIENCE SA, 2010)
In the assignment game of Shapley and Shubik [Shapley, L.S., Shubik, M., 1972. The assignment game. I. The core, International journal of Game Theory 1, 11-130] agents are allowed to form one partnership at most. That paper ...
Cost assignment model for electrical transmission system expansion: An approach through the Kernel theory
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2003)
A cost assignment model is proposed for the expansion of electrical transmission systems, based on the cooperation and interaction principles that are the foundation of the cooperative game theory. A solution algorithm is ...
On the Graceful Game
(Revista Eletrônica de Iniciação Científica em Computação, 2020)
Adjusting prices in the multiple-partners assignment game
(SPRINGER HEIDELBERG, 2009)
Starting with an initial price vector, prices are adjusted in order to eliminate the excess demand and at the same time to keep the transfers to the sellers as low as possible. In each step of the auction, to which set of ...
Optimizing Transcutaneous Energy Transmitter Using Game Theory
(2016-03-01)
Over the past recent years, several studies, seeking reliable Transcutaneous Energy Transmitters (TETs), have used different types of optimization techniques with different objectives. Algorithms with multiple objectives ...