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IJCAI
2007

Multipotential Games

8 years 7 months ago
Multipotential Games
We introduce and analyze q-potential games and qcongestion games, where q is a positive integer. A 1-potential (congestion) game is a potential (congestion) game. We show that a game is a q-potential game if and only if it is (up to an isomorphism) a q-congestion game. As a corollary, we derive the result that every game in strategic form is a qcongestion game for some q. It is further shown that every q-congestion game is isomorphic to a qnetwork game, where the network environment is defined by a directed graph with one origin and one destination. Finally we discuss our main agenda: The issue of representing q-congestion games with non-negative cost functions by congestion models with non-negativeand monotonic facility cost functions. We provide some initial results in this regard.
Dov Monderer
Added 29 Oct 2010
Updated 29 Oct 2010
Type Conference
Year 2007
Where IJCAI
Authors Dov Monderer
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