Geodesic
Search for a~fixed point discrete operator
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 3, pp. 21-32

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The computational complexity of the finding a fixed point of a decreasing monotone operator is analyzed. An power algorithm for determining a fixed point is presented. A constructive prove of the presence of discrete fixed point operator is given for a particular case of the operator of bounded variation. Appendices are the following: voluntary financing of general welfare, Cournot oligopoly and others.
Keywords: monotone operator, fixed points
Mots-clés : a polynomial algorithm. 
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     author = {Irina A. Bashlaeva and Vasiliy N. Lebedev},
     title = {Search for a~fixed point discrete operator},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {21--32},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a1/}
}
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Irina A. Bashlaeva; Vasiliy N. Lebedev. Search for a~fixed point discrete operator. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 3, pp. 21-32. http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a1/