We provide two coincidence theorems that are useful mathematical tools for proving the nonemptiness of the inner core …. The inner core is a refinement of the core of non-transferable utility (NTU) games. Our first coincidence theorem is a … strictly positive vector. Inoue's theorem on the nonemptiness of the inner core follows from our first coincidence theorem and …

This paper deals with a core-equilibrium equivalence in an economy with public goods where preferences of consumers … ; Edgeworth ; Core ; Decentralization …

A longstanding criticism of the core is that it is too sensitive to small changes in player numbers, as in a well known … and decreasing over time even with institutions that facilitate collusion and, consistent with core theory, a …

In auctions with externalities, it is well-known that the core can be empty, which is undesirable both in terms of … the sense that the seller and the bidders experience justified envy. We show that the core is nonempty if bidders cannot …

The concept of 'the core' originates in cooperative game theory and its introduction to economics in the 1960s as a … questions in economics. Discovery of the core was met with enthusiasm among the community of economic theorists at the time …. However, use of the core eventually waned and the concept faded into the backdrop of economic theory. This paper makes use of …

shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ⌊|N |/2⌋-core cover …

direct assumption that preferences have maximal elements on a fixed agenda. We show that the core of a simple game is … number of the game. The same is true if we replace the core by the core without majority dissatisfaction, obtained by … deleting from the agenda all the alternatives that are non-maximal for all players in a winning coalition. Unlike the core, the …