Double Implementation in Dominant Strategy Equilibria and Ex-Post Equilibria with Private Values

Abstract We consider the implementation problem for incomplete information and private values. investigate double implementability of social choice functions in dominant strategy equilibria ex-post equilibria. define a new strategic axiom that implies “strategy-proofness” is implied by “secure strategy-proofness,” but converse these relationships does not hold. call it “weak secure-strategy-proofness.” show function doubly implementable if only weakly securely-strategy-proof .