Two Agent Allocation Problems and the First Best

We consider a general class of two agent allocation problems and identify the complete class of first best rules. By first best rules we mean allocation rules for which we can find efficient, strategyproof and budget balanced mechanisms. We show that the only first best rules are the fixed share allocation rules.

[1]  Shinji Ohseto Strategy-proof and efficient allocation of an indivisible good on finitely restricted preference domains , 2000, Int. J. Game Theory.

[2]  Eiichi Miyagawa,et al.  House Allocation with Transfers , 2001, J. Econ. Theory.

[3]  Toyotaka Sakai Fairness and implementability in allocation of indivisible objects with monetary compensations , 2007 .

[4]  E. H. Clarke Multipart pricing of public goods , 1971 .

[5]  W. Thomson,et al.  The fair allocation of an indivisible good when monetary compensations are possible , 1993 .

[6]  Lars-Gunnar Svensson,et al.  Strategy-proof and nonbossy allocation of indivisible goods and money , 2002 .

[7]  Shinji Ohseto Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods , 2006 .

[8]  Theodore Groves,et al.  Incentives in Teams , 1973 .

[9]  R. Myerson Incentive Compatibility and the Bargaining Problem , 1979 .

[10]  Jaime F. Zender,et al.  Auctions of Divisible Goods: On the Rationale for the Treasury Experiment , 1993 .

[11]  Shinji Ohseto Strategy-proof allocation mechanisms for economies with an indivisible good , 1999 .

[12]  Robert B. Wilson Auctions of Shares , 1979 .

[13]  William Vickrey,et al.  Counterspeculation, Auctions, And Competitive Sealed Tenders , 1961 .

[14]  Yuji Fujinaka,et al.  The Manipulability of Fair Solutions in Assignment of an Indivisible Object with Monetary Transfers , 2006 .

[15]  Bengt Holmstrom,et al.  GROVES' SCHEME ON RESTRICTED DOMAINS , 1979 .