피드백 역학, 목표 중첩에도 행동 차별화 유도
이 논문은 bipartite social networks에서 나타나는 선택성(selectivity)과 매칭 기회의 비대칭성이 매칭 과정 자체에서 발생하는 feedback process를 통해 내생적으로 발생할 수 있음을 보여줍니다. 연구진은 개인이 target matching rate을 달성하기 위해 selectivity를 조정하며 반복적으로 one-to-one matches를 형성하는 모델을 개발했습니다. 분석 및 수치적 방법을 통해, 충분히 빈번한 encounter가 발생할 경우 한 그룹은 highly selective해지고 다른 그룹은 non-selective해지는 유일한 equilibrium이 형성됨을 증명했습니다.
arXiv:2606.31802v1 Announce Type: cross Abstract: Many bipartite social networks exhibit pronounced asymmetries in selectivity and matching opportunities: members of one side can afford to be highly selective, while members of the opposite side are forced to accept less desirable matches. While it is natural to try to explain this asymmetry in terms of the intrinsic characteristics of the two sides or other exogenous factors, here we show that such asymmetries can also emerge endogenously through a feedback process generated by the matching process itself: as one side becomes more selective, the other side is pushed to be less selective due to reduced matching opportunities, and vice versa. We develop a model in which individuals repeatedly form one-to-one matches across two groups and adapt their selectivity to achieve a target matching rate. Using both analytic and numerical methods, we show that when encounters are sufficiently frequent, the unique equilibrium is for one group to be highly selective and the other non-selective. This qualitative outcome holds even for heterogeneous groups with overlapping, almost indistinguishable distributions of target matching rates. The model makes several testable predictions, and it provides a mechanism for behavioral differentiation in repeated matching environments, with applications ranging from online dating to hiring and housing markets.