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Nash Equilibria in Shared Effort Games
Gleb Polevoy Stojan Trajanovski Mathijs de Weerdt
Delft University of Technology Delft University of Technology Delft University of Technology
Mekelweg 4, 2628 CD Mekelweg 4, 2628 CD Mekelweg 4, 2628 CD
Delft, The Netherlands Delft, The Netherlands Delft, The Netherlands
G.Polevoy@tudeflt.nl S.Trajanovski@tudelft.nl M.M.deWeerdt@tudelft.nl
ABSTRACT projects are typically divided based on the individual in-
Shared effort games model people’s contribution to projects vestments. Examples of such situations include contribu-
and sharing the obtained profits. Those games generalize tions to online communities [6], Wikipedia [5], political cam-
both public projects like writing for Wikipedia, where ev- paigns [14], paper co-authorship [7], or social exchange net-
erybody shares the resulting benefits, and all-pay auctions works [8]. Another example is a worker in a company who is
such as contests and political campaigns, where only the investing her time and obtaining some share from the total
winner obtains a profit. In θ-equal sharing (effort) games, a revenue of the company. We next look into some impor-
threshold for effort defines which contributors win and then tant special cases of these widespread interactions between
resource investors.
receive their (equal) share. (For public projects θ = 0 and
for all-pay auctions θ =
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