Letter to Joseph A. Woodruff from Joseph House

Letter to Joseph A. Woodruff from Joseph House asking if Mr. Woodruff would sell Lots 1-4 in Peterborough, March 3, 1868.

Receipt from H. Carlisle and Co., Importers of House Furnishings and Trimmings

Receipt from H. Carlisle and Co., Importers of House Furnishings and Trimmings, St. Catharines, for a ring [?], Sept 20, 1886.

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board, Oct. 8, 1886.

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board, Nov. 8, 1886.

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board, Dec. 8, 1886

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board, Jan. 8, 1887.

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board, Feb. 8, 1887.

Receipt from E. Carroll, manager of the Welland House, St. Catharines

Receipt from E. Carroll, manager of the Welland House, St. Catharines for 10 poles, Mar. 5, 1887.

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board

Receipt from E. Carroll, manager of the Welland House, St. Catharines for board, Mar. 8, 1887.

Receipt from John R. Monro, Tea, China, Glass and Crockery House, St. Catharines

Receipt from John R. Monro, Tea, China, Glass and Crockery House, St. Catharines for kitchen items, shoes and mustard, April 12, 1887.

Receipt from E.C. Staples, proprietor of Old Orchard House, Old Orchard Beach,

Receipt from E.C. Staples, proprietor of Old Orchard House, Old Orchard Beach, Maine for bath house and laundry, Aug. 15, 1887.

Receipt from John Burrow, Plumber and House Furnishings, St. Catharines

Receipt from John Burrow, Plumber and House Furnishings, St. Catharines for potato masher and kettles, Nov. 4, 1887.

The Old Brewery, and the New Mission House at the Five Points

UANL

Resource-Monotonicity for House Allocation Problems

We study a simple model of assigning indivisible objects (e.g., houses, jobs, offices, etc.) to agents. Each agent receives at most one object and monetary compensations are not possible. We completely describe all rules satisfying efficiency and resource-monotonicity. The characterized rules assign the objects in a sequence of steps such that at each step there is either a dictator or two agents who “trade” objects from their hierarchically specified “endowments.”

Consistent House Allocation

In practice we often face the problem of assigning indivisible objects (e.g., schools, housing, jobs, offices) to agents (e.g., students, homeless, workers, professors) when monetary compensations are not possible. We show that a rule that satisfies consistency, strategy-proofness, and efficiency must be an efficient generalized priority rule; i.e. it must adapt to an acyclic priority structure, except -maybe- for up to three agents in each object's priority ordering.