Implementation of Social Choice Functions via Demanding Equilibria

We consider agents who do not have any information about others' preferences. In this situation they attempt to behave such as to maximize their chances to obtain their most preferred alternative. This defines a solution concept for games symmetrical to Barbera and Dutta's protective equilibrium, the demanding equilibrium. Necessary and sufficient conditions for self implementation in demanding equilibria (side) of social choice functions are provided.

[1]  Salvador Barberà,et al.  Protective behavior in matching models , 1995 .

[2]  Matthew O. Jackson,et al.  Maximin, leximin, and the protective criterion: Characterizations and comparisons , 1988 .

[3]  Arunava Sen,et al.  Implementing generalized Condorcet social choice functions via backward induction , 1993 .

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

[5]  D. Saari,et al.  The Copeland method , 1996 .

[6]  H. Young Social Choice Scoring Functions , 1975 .

[7]  D. Saari Explaining All Three-Alternative Voting Outcomes , 1999 .

[8]  Salvador Barberà,et al.  Implementability via protective equilibria , 1982 .

[9]  Donald G. Saari,et al.  Copeland Method II: Manipulation, Monotonicity, and Paradoxes☆ , 1997 .

[10]  Peter Borm,et al.  Protective and Prudent Behaviour in Games , 1998 .

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

[12]  D. Saari Susceptibility to manipulation , 1990 .

[13]  D. Saari Geometry of voting , 1994 .

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

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

[16]  Salvador Barberà Stable voting schemes , 1980 .

[17]  Jörg Naeve Maximax, leximax, and the demanding criterion , 2000, Math. Soc. Sci..

[18]  T. Saijo,et al.  On constant maskin monotonic social choice functions , 1987 .

[19]  D. G. Saari,et al.  Consistency of decision processes , 1990 .

[20]  J. H. Smith AGGREGATION OF PREFERENCES WITH VARIABLE ELECTORATE , 1973 .

[21]  E. Maskin The Theory of Implementation in Nash Equilibrium: A Survey , 1983 .

[22]  Salvador Barberà,et al.  General, direct and self-implementation of social choice functions via protective equilibria , 1986 .

[23]  Hervé Moulin,et al.  Prudence versus sophistication in voting strategy , 1981 .

[24]  P. Pattanaik,et al.  An axiomatic characterization of the lexicographic maximin extension of an ordering over a set to the power set , 1984 .