It is a well-known fact that in some economic environments, non-bossiness and monotonicity are interrelated. In this paper, we have presented a new domain-richness condition called weak monotonic closedness, on which non-bossiness in conjunction with individual monotonicity is equivalent to...

This paper studies secure implementation [Saijo, T., Sjöström, T., Yamato, T., 2007. Secure implementation. Theoretical Economics 2, 203-229] in economies with indivisible objects and money. We establish that on any minimally rich domain that is proposed in our paper, only constant social...