Cooperation by Asymmetric Agents in a Joint Project

R. Brânzei, E. Inarra, S.H. Tijs, J. Zarzuelo

Research output: Working paperDiscussion paperOther research output

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Abstract

The object of study is cooperation in joint projects, where agents may have different desired sophistication levels for the project, and where some of the agents may have low budgets.In this context questions concerning the optimal realizable sophistication level and the distribution of the related costs among the participants are tackled.A related cooperative game, the enterprise game, and a non-cooperative game, the contribution game, are both helpful.It turns out that there is an interesting relation between the core of the convex enterprise game and the set of strong Nash equilibria of the contribution game.Special attention is paid to a rule inspired by the airport landing fee literature.For this rule the project is split up in a sequence of subprojects where the involved participants pay amounts which are, roughly speaking, equal, but not more than their budgets allow.The resulting payoff distribution turns out to be a core element of the related contribution game.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages26
Volume2002-15
Publication statusPublished - 2002

Publication series

NameCentER Discussion Paper
Volume2002-15

Fingerprint

Sophistication
Airports
Non-cooperative game
Fees
Strong Nash equilibrium
Cooperative game
Costs

Keywords

  • game theory
  • projects

Cite this

Brânzei, R., Inarra, E., Tijs, S. H., & Zarzuelo, J. (2002). Cooperation by Asymmetric Agents in a Joint Project. (CentER Discussion Paper; Vol. 2002-15). Tilburg: Operations research.
Brânzei, R. ; Inarra, E. ; Tijs, S.H. ; Zarzuelo, J. / Cooperation by Asymmetric Agents in a Joint Project. Tilburg : Operations research, 2002. (CentER Discussion Paper).
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Brânzei, R, Inarra, E, Tijs, SH & Zarzuelo, J 2002 'Cooperation by Asymmetric Agents in a Joint Project' CentER Discussion Paper, vol. 2002-15, Operations research, Tilburg.

Cooperation by Asymmetric Agents in a Joint Project. / Brânzei, R.; Inarra, E.; Tijs, S.H.; Zarzuelo, J.

Tilburg : Operations research, 2002. (CentER Discussion Paper; Vol. 2002-15).

Research output: Working paperDiscussion paperOther research output

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AB - The object of study is cooperation in joint projects, where agents may have different desired sophistication levels for the project, and where some of the agents may have low budgets.In this context questions concerning the optimal realizable sophistication level and the distribution of the related costs among the participants are tackled.A related cooperative game, the enterprise game, and a non-cooperative game, the contribution game, are both helpful.It turns out that there is an interesting relation between the core of the convex enterprise game and the set of strong Nash equilibria of the contribution game.Special attention is paid to a rule inspired by the airport landing fee literature.For this rule the project is split up in a sequence of subprojects where the involved participants pay amounts which are, roughly speaking, equal, but not more than their budgets allow.The resulting payoff distribution turns out to be a core element of the related contribution game.

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Brânzei R, Inarra E, Tijs SH, Zarzuelo J. Cooperation by Asymmetric Agents in a Joint Project. Tilburg: Operations research. 2002. (CentER Discussion Paper).