both exact and virtual mixed implementation. For exact implementation, we identify a strengthening of Bayesian monotonicity …, which we refer to as mixed Bayesian monotonicity. It is shown that, in economic environments with at least three agents …, mixed Bayesian implementation is equivalent to mixed Bayesian monotonicity, incentive compatibility and closure. For …

We introduce two new monotonicity properties for core concepts: single-valued solution concepts that always select a …

examined and its monotonicity is investigated. Some of the results presented here are general and would be useful in studying …

propose a monotonicity axiom requiring that the degree of association should increase after shifting mass from cells of a …

Instrumental variables estimators typically must satisfy monotonicity conditions to be interpretable as capturing local … average treatment effects. Building on previous research that suggests monotonicity is unlikely to hold in the context of … impact on monotonicity bias of bandwidth selection in regression discontinuity (RD) designs, finding that "full sample …

Instrumental variables estimators typically must satisfy monotonicity conditions to be interpretable as capturing local … average treatment effects. Building on previous research that suggests monotonicity is unlikely to hold in the context of … impact on monotonicity bias of bandwidth selection in regression discontinuity (RD) designs, finding that "full sample …