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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]

The nonlinear complementarity model of industrial symbiosis network equilibrium problem

Shiqin Xu, Guoshan Liu, Wendai Lv, Yingmei Liu (2014)

RAIRO - Operations Research - Recherche Opérationnelle

In this paper, we propose an industrial symbiosis network equilibrium model by using nonlinear complementarity theory. The industrial symbiosis network consists of industrial producers, industrial consumers, industrial decomposers and demand markets, which imitates natural ecosystem by means of exchanging by-products and recycling useful materials exacted from wastes. The industrial producers and industrial consumers are assumed to be concerned with maximization of economic profits as well as minimization...

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