Such choice functions are also called heuristic functions or branching heuristics.
2.
Yadrenko studied the analytic properties of choice functions of random fields.
3.
Formally, a social choice function is a map
4.
For example, the following is an equivalent law that avoids the use of choice functions.
5.
For a very general class of games, only " dictatorial " social choice functions can be implemented.
6.
In the examples of Sen and Gibbard noted above, the social choice function satisfies Minimal liberalism at the expense of Pareto optimality.
7.
The initial results emphasized the impossibility of satisfactorily providing a social choice function free of dictatorship and inefficiency in the most general settings.
8.
In the job-scheduling, The makespan-minimization social-choice function is not strongly-monotonic nor weakly-monotonic.
9.
I . e, for every weakly-monotonic social-choice function, there is a deterministic truthful mechanism that implements it.
10.
A social-choice function is called "'incentive-compatible "'if it is not manipulable by any player.
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