Tommy Andersson (), Lars Ehlers () and Lars-Gunnar Svensson ()
Tommy Andersson: Department of Economics, Lund University, Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund, Sweden
Lars Ehlers: Département de sciences économiques, Université de Montréal, Postal: Montréal, Québec H3C 3J7, Canada
Lars-Gunnar Svensson: Department of Economics, Lund University, Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund, Sweden
Abstract: We consider a market with indivisible objects, called houses, and money. On this market, each house is initially owned (or rented) by some agent and each agent demands precisely one house. The problem is to identify the complete set of direct allocation mechanisms that can be used to reallocate the houses among the agents. The focus is on price mechanisms, i.e., mappings of preference profiles to price equilibria, that are strategy-proof and satisfy an individual rationality condition. We prove that the only mechanism that satisfies these conditions is a price mechanism with a minimal equilibrium price vector. The result is not true in full preference domain. Instead, we identify a smaller domain, that contains almost all profiles, where the result holds.
18 pages, December 15, 2020
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