Negative certainty independence without betweenness
证明了存在连续且单调的简单彩票偏好关系,满足负确定性独立性公理但不属于中间性偏好类,回答了Dillenberger(2010)留下的开放问题。
Dillenberger (2010) introduced the negative certainty independence (NCI) axiom, which captures the certainty effect phenomenon. He left open the question of whether there are continuous and monotone preference relations over simple lotteries that satisfy NCI but do not belong to the betweenness class of preferences considered by Chew (1989) and Dekel (1986). We answer this question in the affirmative.