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...

In this paper, we re-examine the classical questions of implementation theory under complete information in a setting where coalitions are the fundamental behavioral units and the outcomes of their interactions are predicted by applying the solution concept of the core. The planner's exercise...

Interim Rationalizable Monotonicity, due to Oury and Tercieux (2012), fully characterizes the class of social choice functions that are implementable in interim correlated rationalizable (and Bayes-Nash equilibrium) strategies

A choice behavior is rational if it is made in accordance with the maximization of some context-independent preference relation. This paper re-examines the classical questions of implementation theory under complete information in a setting in which players' choices need not be rational and in...