Template-type: ReDif-Paper 1.0 Author-Name: Dietzenbacher, Bas Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory Author-Name: Hanssen, Pauline Author-workplace-name: RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory Author-Name: Tamura, Yuki Title: Core selection with single-peaked preferences and endowment ownership Abstract: This paper studies reallocation problems where preferences are single-peaked and one agent is endowed with one unit of an infinitely divisible and non-disposable commodity. We characterize all allocations that belong to the core, i.e. no group of agents is better off by reallocating among themselves. Under excess supply, we show that all rules satisfying Pareto optimality and individual rationality select from the strong core. Under excess demand, we show that all rules satisfying Pareto optimality, individual rationality, and strategy-proofness select from the weak core, but there is no strategy-proof rule that selects from the strong core. Keywords: resource reallocation, single-peaked preferences, weak core, strong core Classification-JEL: d63,d71,d74 Series: GSBE Research Memoranda Creation-Date: 20260608 Number: 005 File-URL: https://cris.maastrichtuniversity.nl/ws/files/314185574/RM26005.pdf File-Format: application/pdf File-Size: 465877 Handle: Repec:unm:umagsb:2026005 DOI: 10.26481/umagsb.2026005