Rationalizable implementation of social choice functions: Complete characterization

Xiong, Siyang

doi:10.3982/te4036

2023

DOI: 10.3982/te4036

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Rationalizable implementation of social choice functions: Complete characterization

Siyang Xiong¹

Abstract: We provide a complete answer regarding what social choice functions can be rationalizably implemented.

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Behavioral implementation under incomplete information

Barlo,

Dalkıran

2023

Journal of Economic Theory

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Behavioral implementation under incomplete information

Barlo,

Dalkıran

2023

Journal of Economic Theory

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Interim Rationalizable Implementation of Functions

Kunimoto,

Saran,

Serrano

2024

Mathematics of OR

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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 it to be a necessary and almost sufficient condition for rationalizable implementation. We show by means of robust examples that interim rationalizable monotonicity (IRM), found in the literature, is strictly stronger than weak IRM and that IRM is not necessary for rationalizable implementation, as had been previously claimed. These examples also demonstrate that Bayesian monotonicity, the key condition for full Bayesian implementation, is not necessary for rationalizable implementation. That is, rationalizable implementation can be more permissive than Bayesian implementation. We revisit well-studied classes of economic environments and show that the SCFs considered there are interim rationalizable implementable. A comprehensive discussion of related issues, including well-behaved mechanisms, mechanisms satisfying the best response property, double implementation, and responsive SCFs is also provided. Funding: This work was supported by Ministry of Education, Singapore [Grant MOE Academic Research Fund Tier 2/MOE-T2EP402A20-0].

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Rationalizable implementation of social choice functions: Complete characterization

Abstract: We provide a complete answer regarding what social choice functions can be rationalizably implemented.

Cited by 2 publications

References 15 publications

Behavioral implementation under incomplete information

Behavioral implementation under incomplete information

Interim Rationalizable Implementation of Functions

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