Proceedings:
No. 1: AAAI-19, IAAI-19, EAAI-20
Volume
Issue:
Proceedings of the AAAI Conference on Artificial Intelligence, 33
Track:
AAAI Technical Track: Game Theory and Economic Paradigms
Downloads:
Abstract:
The HOUSING MARKET problem is a widely studied resources allocation problem. In this problem, each agent can only receive a single object and has preferences over all objects. Starting from an initial endowment, we want to reach a certain assignment via a sequence of rational trades. We consider the problem whether an object is reachable for a given agent under a social network, where a trade between two agents is allowed if they are neighbors in the network and no participant has a deficit from the trade. Assume that the preferences of the agents are strict (no tie is allowed). This problem is polynomially solvable in a star-network and NPcomplete in a tree-network. It is left as a challenging open problem whether the problem is polynomially solvable when the network is a path. We answer this open problem positively by giving a polynomial-time algorithm. Furthermore, we show that the problem on a path will become NP-hard when the preferences of the agents are weak (ties are allowed).
DOI:
10.1609/aaai.v33i01.33012037
AAAI
Proceedings of the AAAI Conference on Artificial Intelligence, 33