Topic:

A Belief-based Approach to Sibling Rivalry

Abstract:

We revisit Becker's sibling rivalry problem from a belief-based approach.Consider a family with n siblings.Each sibling is concerned about the parents'affection.The parents aim to reassure each of their children and address any potential feelings of jealousy or rivalry among the siblings.We ask for any profile of siblings’posterior beliefs,is there an information structure that can generate these beliefs?We completely characterize all feasible joint posterior beliefs from all information structures.The major ingredient of the proof is a decomposition of a belief feasibility problem into a reduced-formauction problem and a transportequation.Thisdecomposition allows the application of a measure-theoretic version of Border's theorem.We use this characterization result to solve the optimal persuasion schemes in the sibling rivalry problems with and without privacy-preserving constraints.

Lecturer: Xu Lang

Introduction of theLecturer:

XuLang,PhDin Economics fromTilburg University,the Netherlands,used to belecturer,associate professor and doctoral supervisor of School of Economics,Southwest University of Finance and Economics.His research areas include game theory,market mechanismdesign,information design,etc.He has published many academic papers in important international journals such as Theoretical Economics,SocialChoice and Welfare,Economics letters,etc.

Time:February26,202414:00-15:00

Venue: B321,ZhixinBuilding,CentralCampus