Aiming to obtain new characterizations for the concepts of core, cooperative equilibrium and competitive equilibrium … maximal set is the core; the second one characterizes the cooperative equilibria for the rigid market; the third set …

deviation function form and be confronted with the traditional notion of core. Precise answers are given to the questions raised. …

established, by focusing on the algebraic structure of the core, the set of cooperative equilibrium allocations and the set of …

such a way that the payoffs from the trades done are not changed as players reach the core. The core is non-empty iff every … within simple outcomes), until we reach the core, or until the payoff cannot be simple anymore. That is, increase in payoffs … at any core outcome. The gains in insight with this approach allows a necessary and sufficient condition for the non …

Aiming to obtain new characterizations for the concepts of core, cooperative equilibrium and competitive equilibrium … maximal set is the core; the second one characterizes the cooperative equilibria for the rigid market; the third set …

to benefit the agents involved (case in which a core outcome is reached) or when any new interaction requires that some … of the agents involved do not "behave cooperatively" (case in which the core is empty). The gains in terms of insights …-emptiness of the core. The proof of this result is elementary, in the sense that it avoids specialized mathematical tools, and only …