@article{oai:ynu.repo.nii.ac.jp:00002024, author = {Kajii, Atsushi and Ui, Takashi}, issue = {10}, journal = {Economics Bulletin}, month = {Sep}, note = {application/pdf, postprint, It is known that if a capacity is convex then the Dempster-Shafer update rule for the capacity is equivalent to the maximum likelihood update rule for the core of the capacity. This paper shows that the converse is also true; that is, a capacity must be convex if these two rules are equivalent.}, pages = {1--6}, title = {Equivalence of the Denpster-Shafer rule and the maximum likelihood rule implies convexity}, volume = {4}, year = {2005} }