On the non-emptiness of the fuzzy core

DOI10.1007/s00182-007-0105-2zbMath1149.91039OpenAlexW1978950445MaRDI QIDQ933750

Arkadi Predtetchinski, Nizar Allouch

Publication date: 25 July 2008

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00182-007-0105-2

zbMATH Keywords

Exchange economiesFuzzy corePayoff-dependent balancedness

Mathematics Subject Classification ID

Cooperative games (91A12) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Special types of economic markets (including Cournot, Bertrand) (91B54)

Related Items (10)

Coalitional equilibria in coalitional abstract economies with nonordered preferences ⋮ Two characterizations of cost share equilibria ⋮ Non-emptiness of the fuzzy core in a finite production economy with infinite-dimensional commodity space ⋮ A necessary and sufficient condition for an NTU fuzzy game to have a non-empty fuzzy core ⋮ Price taking equilibrium in economies with multiple memberships in clubs and unbounded club sizes ⋮ Existence of fuzzy cores and generalizations of the K-K-M-S theorem ⋮ Existence of Edgeworth and competitive equilibria and fuzzy cores in coalition production economies ⋮ On the nonemptiness of approximate cores of large games ⋮ Fairness and fuzzy coalitions ⋮ On the existence of a fuzzy core in an exchange economy

Cites Work

• Edgeworth equilibria, fuzzy core, and equilibria of a production economy without ordered preferences
• On Kakutani's fixed point theorem, the K-K-M-S theorem and the core of a balanced game
• A necessary and sufficient condition for non-emptiness of the core of a non-transferable utility game
• Payoff-dependent balancedness and cores
• The fuzzy core and the \((\Pi,\beta)\)-balanced core
• An equivalence theorem for a differential information economy
• Edgeworth Equilibria
• A Limit Theorem on the Core of an Economy

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