Geodesic
Rosenthal's potential and a~discrete version of the Debreu--Gorman theorem
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 2, pp. 60-77

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The acyclicity of individual improvements in a generalized congestion game (where the sums of local utilities are replaced with arbitrary aggregation rules) can be established with a Rosenthal-style construction if aggregation rules of all players are “quasi-separable”. Every universal separable ordering on a finite set can be represented as a combination of addition and lexicography. 
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     author = {Nikolai S. Kukushkin},
     title = {Rosenthal's potential and a~discrete version of the {Debreu--Gorman} theorem},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {60--77},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2014_6_2_a3/}
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Nikolai S. Kukushkin. Rosenthal's potential and a~discrete version of the Debreu--Gorman theorem. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 2, pp. 60-77. http://geodesic.mathdoc.fr/item/MGTA_2014_6_2_a3/