Secure Implementation in Economies with Indivisible Objects and Money
This paper studies the application of the notion of secure implementation (Cason, Saijo, Sjostrom, and Yamato, 2006; Saijo, Sjostrom, and Yamato, 2007) to the problem of allocating indivisible objects with monetary transfers. We propose a new domain-richness condition, termed as minimal richness. We then establish that on any minimally rich domain, only constant social choice functions are securely implementable.