Title
Consistency and monotonicity in sequencing problems
Abstract
We explore the implications of consistency and monotonicity in sequencing problems. We first identify all rules satisfying Pareto indifference, individual rationality from random arrival, and consistency. Next, we ask whether there is a rule satisfying the three axioms together with either one of two monotonicity requirements, time monotonicity and cost monotonicity. As it turns out, the minimal transfer rule is the only rule satisfying Pareto indifference, individual rationality from random arrival, consistency together with either time monotonicity or cost monotonicity. We also investigate how the maximal transfer rule responds to changes in the service time and waiting cost.
Year
DOI
Venue
2011
10.1007/s00182-010-0225-y
Int. J. Game Theory
Keywords
Field
DocType
sequencing problems · consistency · monotonicity · minimal transfer rule · maximal transfer rule · axiomatic approach,axiomatic approach,consistency,satisfiability,monotonicity
Welfare economics,Monotonic function,Mathematical economics,Mathematical optimization,Axiomatic system,Ask price,Rationality,Axiom,Pareto principle,Service time,Mathematics
Journal
Volume
Issue
ISSN
40
1
1432-1270
Citations 
PageRank 
References 
9
1.22
5
Authors
1
Name
Order
Citations
PageRank
Youngsub Chun19420.80