Individually rational, budget-balanced mechanisms and allocation of surplus

• 成果类型: Article
• 署名作者: Kosenok, Grigory; Severinov, Sergei
• 署名单位: New Economic School; University of Essex
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2007.07.002
• 发表日期: 2008
• 页码: 126-161
• 关键词: Mechanism design; Bayesian implementation; individual rationality; ex-post budget balancing; surplus allocation

摘要

We investigate the issue of implementation via individually rational ex-post budget-balanced Bayesian mechanisms. We show that all decision rules generating a nonnegative expected social surplus are implementable via such mechanisms if and only if the probability distribution of the agents' type profiles satisfies two conditions: the well-known condition of Cremer and McLean [1988. Full extraction of the surplus in Bayesian and dominant strategy auctions, Econometrica 56, 1247-1257] and the Identifiability condition introduced in this paper. We also show that these conditions are necessary for ex-post efficiency to be attainable with budget balance and individual rationality, and that the expected social surplus in these mechanisms can be distributed in any desirable way. Lastly, we demonstrate that, like Cremer-McLean condition, the Identifiability condition is generic if there are at least three agents. (c) 2007 Elsevier Inc. All rights reserved.