This paper considers a general house allocation problem with price restrictions and provides an extension of the main group non-manipulability result in Andersson and Svensson (2014, Econometrica).
We consider taxation of exchanges among a set of agents where each agent owns one object. Agents may have different valuations for the objects and they need to pay taxes for exchanges. We show that if a rule satisfies individual rationality, strategyproofness, constrained efficiency, weak anonymity and weak consistency, then it is either the no-trade rule or a fixed-tax core rule. For the latter rules, whenever any agent exchanges his object, he pays the same fixed tax (a lump sum payment which is identical for all agents) independently of which object he consumes. Gale's top trading cycles algorithm finds the final assignment using the agents' valuations adjusted with the fixed tax if the induced preferences are strict.
This paper considers a housing market with price restrictions. On such market, price equilibrium may be excluded for certain preference profiles. However, the existence of a unique minimal rationing price equilibrium has previously been established on a general preference domain that contains “almost all” preference profiles. This type of equilibrium has been demonstrated to be an important ingredient in a direct and strategy-proof allocation mechanism for housing markets with price restrictions. The main contribution of this paper is to provide a finite ascending price sequence that terminates to a minimal rationing price equilibrium. This sequence is demonstrated to play a key-role in an Iterative English Auction Rule for housing markets with price restrictions.
With the Pareto principle as the sole normative criterion, simple necessary conditions for efficient tax rates on labour and capital incomes are established in an overlapping-generations model. The individuals in the economy have differing earning abilities and their labour supply is elastic. The analysis focuses on inragenerational aspects and is restricted to linear taxation in steady states of a closed economy. Both global results on the range of efficient tax rates, and local counterparts are given, the latter in the form of upper bounds that depend on the (uncompensated) elasticities of aggregate labour supply and private savings. The Golden Rule is shown to apply in this context.
This paper considers a fair division problem with indivisible objects, like jobs, houses, positions, etc., and one divisible good (money). The individuals consume money and one object each. The class of fair allocation rules that are strategy-proof in the strong sense that no coalition of individuals can improve the allocation for all of its members, by misrepresenting their preferences, is characterized. It turns out that given a regularity condition, the outcome of a fair and coalition strategy-proof allocation rule must maximize the use of money subject to upper quantity bounds determined by the allocation rule. Due to these restrictions the outcomes of the allocation rule are Pareto efficient only for some preference profiles. In a multi-object auction interpretation of the model, the result is a complete characterization of coalition strategy-proof auction rules.
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