Notes on a Strategy-Proof Social Choice Functions

The goodness of a collective decision often depends on the wishes of those affected by it. The candidate with a majority is assumed to be best under democracy. Reasonable proposals on how to finance and carry out a public project should pass the minimal test of efficiency. Satisfactory assignments of students to colleges should take into account the interests of those who are seeking education. All of the above are examples of situations in which knowing the preferences of agents is necessary to determine what is collectively best.

[1]  Eitan Muller,et al.  The equivalence of strong positive association and strategy-proofness , 1977 .

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

[3]  Jerry S. Kelly,et al.  STRATEGY-PROOFNESS AND SOCIAL CHOICE FUNCTIONS WITHOUT SINGLEVALUEDNESS , 1977 .

[4]  Yves Sprumont Strategyproof Collective Choice in Economic and Political Environments , 1995 .

[5]  Martin P. Loeb,et al.  INCENTIVES AND PUBLIC INPUTS , 1975 .

[6]  Salvador Barberà,et al.  Strategy-Proofness and Pivotal Voters: A Direct Proof of the Gibbard-Satterthwaite Theorem , 1983 .

[7]  John A. Weymark,et al.  Generalized median social welfare functions , 1993 .

[8]  Yves Sprumont The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule , 1991 .

[9]  K. Arrow Social Choice and Individual Values , 1951 .

[10]  David Schmeidler,et al.  Two Proofs of the Gibbard-Satterthwaite Theorem on the Possibility of a Strategy-Proof Social Choice Function , 1978 .

[11]  H. Moulin On strategy-proofness and single peakedness , 1980 .

[12]  D. Black On the Rationale of Group Decision-making , 1948, Journal of Political Economy.

[13]  A. Gibbard Manipulation of Voting Schemes: A General Result , 1973 .

[14]  B. Peleg,et al.  Strategy-proof voting schemes with continuous preferences , 1990 .

[15]  Salvador Barberà,et al.  Voting by Committees , 1991 .

[16]  José Alcalde,et al.  Top dominance and the possibility of strategy-proof stable solutions to matching problems , 1994 .

[17]  Shigehiro Serizawa Strategy-proof and individually rational social choice functions for public good economies , 1996 .

[18]  Allan Gibbard,et al.  Straightforwardness of Game Forms with Lotteries as Outcomes , 1978 .

[19]  Stephen Ching,et al.  A simple characterization of the uniform rule , 1992 .

[20]  Kim C. Border,et al.  Straightforward Elections, Unanimity, and Phantom Voters , 1983 .

[21]  Alvin E. Roth,et al.  The Economics of Matching: Stability and Incentives , 1982, Math. Oper. Res..

[22]  Lin Zhou Inefficiency of strategy-proof allocation mechanisms in pure exchange economies , 1991 .

[23]  A. Sen,et al.  The Impossibility of a Paretian Liberal , 1970, Journal of Political Economy.

[24]  Faruk Gul,et al.  Generalized Median Voter Schemes and Committees , 1993 .

[25]  S. Rebelo,et al.  On the Determinant of Economic Growth , 1997 .

[26]  M. Jackson Incentive compatibility and competitive allocations , 1992 .

[27]  M. Satterthwaite,et al.  Strategy-Proof Allocation Mechanisms at Differentiable Points , 1981 .

[28]  M. Jackson,et al.  A characterization of strategy-proof social choice functions for economies with pure public goods , 1994 .

[29]  Luis C. Corchón,et al.  On the generic impossibility of truthful behavior: A simple approach , 1995 .

[30]  Mark A Walker,et al.  On the Generic Nonoptimality of Dominant-Strategy Allocation Mechanisms: A General Theorem That Includes Pure Exchange Economies , 1990 .

[31]  Salvador Barberà,et al.  Majority and Positional Voting in a Probabilistic Framework , 1979 .

[32]  John Duggan,et al.  Strategic Manipulability is Inescapable: Gibbard-Satterthwaite without Resoluteness , 1992 .

[33]  Salvador Barberà,et al.  THE MANIPULATION OF SOCIAL CHOICE MECHANISMS THAT DO NOT LEAVE "TOO MUCH" TO CHANCE' , 1977 .

[34]  A. Gibbard Manipulation of Schemes That Mix Voting with Chance , 1977 .

[35]  Ki Hang Kim,et al.  Special domains and nonmanipulability , 1980, Math. Soc. Sci..

[36]  M. Satterthwaite Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions , 1975 .