Noting that a full characterization of Nash-implementation is given using a canonical-mechanism and Maskin's theorem (Maskin, 1999) is shown using a mechanism with Saijo's type of strategy space reduction (Saijo, 1988), this paper fully characterizes the class of Nash-implementable social choice...

From a normative viewpoint, there is no compelling reason for preferring the weak core over the σtrong core, and vice versa. However, the situation changes significantly from an economic design perspective. Coalitions are irrelevant for implementing in weak core by rights structures, but they...

In a market with indivisibilities, Roth and Postlewaite (1977) show that the (weak) core can suffer from instability problems, in the sense that groups of individuals might upset the equilibrium by recontracting among themselves. By contrast, the strong core is stable. Following the seminal...

Agents are farsighted when they consider the ultimate results to which their own actions may lead to. We re-examine the classical questions of implementation theory under complete information in a setting with transfers where farsighted coalitions are regarded as fundamental behavioral units and...

A partially-honest individual is a person who follows the maxim, "Do not lie if you do not have to" to serve your material interest. By assuming that the mechanism designer knows that there is at least one partially-honest individual in a society of n≥3 individuals, a social choice rule (SCR)...

A social choice rule (SCR) $F$ maps preference profiles to lotteries over some finite set of outcomes. $F$ is virtually implementable in (pure and mixed) Nash equilibria provided that for all $\epsilon 0$, there exists a mechanism such that for each preference profile $\theta$, its set of Nash...