This paper considers the object allocation problem introduced by Shapley and Scarf (1974). We study secure implementation (Saijo, Sjostrom, and Yamato, 2007), that is, double implementation in dominant strategy and Nash equilibria. We prove that (i) an individually rational solution is securely...

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...

Public decision making often involves the problem of fairly assigning one indivisible object to agents with monetary transfers. An example is the choice of the location of a garbage incineration facility where the accepting district should receive fair compensations from other districts. In this...