. We prove that the strong core coincides with the set of cost-minimized Walras allocations which satisfy both the … preference maximization and the cost minimization under the same price vector. -- Indivisible commodities ; Core equivalence … ; Strong core ; Cost-minimized Walras equilibrium …

We investigate the relationship between certain subsets of the core for TU market games and competitive payoff vectors … and Shubik (1975). They remark already that their result can be extended to any closed convex subset of the core, but they … theorems of Shapley and Shubik (1975) are included as special cases. -- Market Games ; Competitive Payoffs ; Core …

We investigate the relationship between the inner core and asymmetric Nash bargaining solutions for n-person bargaining … positive vectors of weights coincides with the inner core if all points in the underlying bargaining set are strictly positive … results on non-cooperative foundations of cooperative games. -- Inner Core ; Asymmetric Nash Bargaining Solution ; Competitive …

We consider the inner core as a solution concept for cooperative games with non- transferable utility (NTU) and its … subsets of the inner core for NTU market games and competitive payoff vectors of markets linked to the NTU market game. This … large class of closed subsets of the inner core: Given an NTU market game we construct a market depending on a given closed …

refinement of Myerson’s core for which information disseminates across coalitions within a given random blocking mechanism. Under …We study core convergence in interim quasilinear economies with asymmetric information, concentrating on core notions … in which information is transmitted endogenously within coalitions and the incentive constraints are relevant …

A core allocation of a complete information economy can be characterized as one that would not be unanimously rejected … of such voting games, this approach makes it possible to derive core concepts in which the transmission of information … among members of a coalition is endogenous. Our results lend support to the credible core of Dutta and Vohra (2003) and the …

information that coalitions can share. The coarse and fine core, as originally defined by Wilson (1978), correspond to two polar …An appropriate (interim) notion of the core for an economy with incomplete information depends on the amount of … cases, involving no information sharing and arbitrary information sharing, respectively. We propose a new core notion, the …

This paper provides a noncooperative approach to core stability in an economy with incomplete information. The analysis … covers general exchange economies, although our tightest results hold when effective coalitions consist of at most two … Serrano and Vohra (1997) to implement the core of a complete information economy. This leads to a version of the core that we …

a contractual approach and based on the notion of fuzzy contractual allocation, see Marakulin (2011, 2013). Core … core converts into a classical one when the market turns complete. Under perfect competition conditions, core allocations … are GEI-equilibria. These properties prove the validity of the suggested core …