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Economics

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Singapore Management University

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2020

Implementation

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Local Dominance, Emiliano Catonini, Jingyi Xue Dec 2020

Local Dominance, Emiliano Catonini, Jingyi Xue

SMU Economics and Statistics Working Paper Series

We define a local notion of weak dominance that speaks to the true choice problems among actions in a game tree and does not necessarily require to plan optimally for the future. A strategy is (globally) weakly dominant if and only if it prescribes a locally weakly dominant action at every decision node it reaches, and in this case local weak dominance is characterized by a (wishful-thinking) condition that requires no forward planning. From this local perspective, we identify form of contingent reasoning that are particularly natural, despite the absence of an obviously dominant strategy (Li, 2017). Following this approach, …


Interim Rationalizable Implementation Of Functions, Takashi Kunimoto, Rene Saran, Roberto Serrano Oct 2020

Interim Rationalizable Implementation Of Functions, Takashi Kunimoto, Rene Saran, Roberto Serrano

Research Collection School Of Economics

This paper investigates rationalizable implementation of social choice functions (SCFs) in incomplete information environments. We identify weak interim rationalizable monotonicity (weak IRM) as a novel condition and show that weak IRM is a necessary and almost sufficient condition for rationalizable implementation. We show by means of an example that interim rationalizable monotonicity (IRM), found in the literature, is strictly stronger than weak IRM as its name suggests, and that IRM is not necessary for rationalizable implementation, as had been previously claimed. The same example also demonstrates that Bayesian monotonicity, the key condition for full Bayesian implementation, is not necessary for …


Rationalizable Incentives: Interim Implementation Of Sets In Rationalizable Strategies, Takashi Kunimoto, Roberto Serrano Jan 2020

Rationalizable Incentives: Interim Implementation Of Sets In Rationalizable Strategies, Takashi Kunimoto, Roberto Serrano

Research Collection School Of Economics

This paper investigates rationalizable implementation of social choice sets (SCSs) in incomplete information environments. We identify rationalizable incentive compatibility (RIC) as its key condition, argue by means of example that RIC is strictly weaker than the standard Bayesian incentive compatibility (BIC), and show that RIC reduces to BIC when we only consider single-valued SCSs (i.e., social choice functions or SCFs). We next identify additional necessary conditions and, essentially closing the gap be-tween necessity and sufficiency, obtain a sufficiency result for rationalizable implementation in general environments. We also characterize a well-studied class of economic environments in which RIC is essentially the …