Optimal collective dichotomous choice under quota constraints

Summary. This paper presents optimal collective dichotomous choices under quota constraints. We focus on committees that have to decide whether to accept or reject a set of projects under quota constraints. We provide a method for optimal ranking of projects which is suitable for solving this problem. The main result generalizes a number of earlier results in the subject. To outline the applicability of our method, we demonstrate its usage in the area of information filtering.

[1]  J. Stiglitz,et al.  The Architecture of Economic Systems: Hierarchies and Polyarchies , 1984 .

[2]  J. Banks,et al.  Information Aggregation, Rationality, and the Condorcet Jury Theorem , 1996, American Political Science Review.

[3]  D. Kleinman,et al.  Optimal team and individual decision rules in uncertain dichotomous situations , 1993 .

[4]  Pattie Maes,et al.  Social information filtering: algorithms for automating “word of mouth” , 1995, CHI '95.

[5]  D. A. Quadling,et al.  Essai sur l'application de l'analyse a la probabilite des decisions , 1972 .

[6]  Janny G. de Wit,et al.  Rational choice and the Condorcet jury theorem , 1998 .

[7]  J. Stiglitz,et al.  Committees, hierarchies and polyarchies , 1987 .

[8]  L. Shapley,et al.  Optimizing group judgmental accuracy in the presence of interdependencies , 1984 .

[9]  R. Myerson Extended Poisson Games and the Condorcet Jury Theorem , 1998 .

[10]  T. Feddersen,et al.  Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting , 1996, American Political Science Review.

[11]  Christopher Winship,et al.  Information Processing and Jury Decisionmaking , 1984 .

[12]  Shmuel Nitzan,et al.  Are qualified majority rules special? , 1984 .

[13]  Raaj Kumar Sah,et al.  Fallibility in Human Organizations and Political Systems , 1991 .

[14]  Shmuel Nitzan,et al.  A general theorem and eight corollaries in search of correct decision , 1994 .

[15]  R. K. Sah,et al.  Qualitative Properties of Profit-Maximizing K-Out-of-N Systems Subject to Two Kinds of Failures , 1988 .

[16]  Joseph E. Stiglitz,et al.  Human Fallibility and Economic Organization , 1985 .

[17]  T. Feddersen,et al.  The Swing Voter's Curse , 1996 .

[18]  A. McLennan Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents , 1998, American Political Science Review.

[19]  Shmuel Nitzan,et al.  The Optimal Decision Rule for Fixed-Size Committees in Dichotomous Choice Situations: The General Result , 1997 .

[20]  G. Owen,et al.  Thirteen theorems in search of the truth , 1983 .

[21]  T. Feddersen,et al.  Voting Behavior and Information Aggregation in Elections with Private Information , 1997 .

[22]  Shmuel Nitzan,et al.  Optimal Decision Rules in Uncertain Dichotomous Choice Situations , 1982 .

[23]  Raaj Kumar Sah,et al.  An Explicit Closed-Form Formula for Profit-Maximizing k-Out-Of-n Systems Subject to Two Kinds of Failures , 1990 .