Template-type: ReDif-Paper 1.0 Author-Name: Peleg, B. Author-workplace-name: Externe publicaties SBE Author-Name: Peters, H.J.M. Author-workplace-name: Quantitative Economics Title: Choosing k from m: feasible elimination procedures reconsidered Abstract: We show that feasible elimination procedures (Peleg, 1978) can be used to select k from m alternatives. An important advantage of this method is the core property: no coalition can guarantee an outcome that is preferred by all its members. We also provide an axiomatic characterization for the case k=1, using the conditions of anonymity, Maskin monotonicity, and independent blocking. Finally, we show for any k that outcomes of feasible elimination procedures can be computed in polynomial time, by showing that the problem is computationally equivalent to finding a maximal matching in a bipartite graph.
Series: GSBE Research Memoranda Creation-Date: 20140101 Number: 033 File-URL: https://cris.maastrichtuniversity.nl/ws/files/568877/guid-999ccc63-ecd3-41ad-b4a6-9628b29949e7-ASSET1.0.pdf File-Format: application/pdf File-Size: 407960 Handle: Repec:unm:umagsb:2014033 DOI: 10.26481/umagsb.2014033