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Cooperation with Rivals
Kai Pommerenke, University of California Santa Cruz
ABSTRACT: The common characteristic of R&D joint ventures between oligopolistic
competitors, arms reduction talks, and study groups in law school is
cooperation with rivals. Players benefit from cooperation, but any gain
by their partner weakens their own position when competing for profits,
security, or a high class ranking. I construct a model in which players
have different resource endowments and can increase them through bilateral
cooperation. The final allocations enter a contest success function
and determine each player’s probability of winning a fixed prize. A refinement
of Nash equilibrium, Pairwise Stable Nash Equilibrium (PSNE), is
defined to deal with the need for mutual consent to establish cooperation.
Results show that universal full cooperation is a PSNE in this zero-sum
game without repeated play if no player predominates, and the only PSNE
if players are free to negotiate side-payments. The model is then applied
to trade between the US and China.
SUGGESTED CITATION: Kai Pommerenke,
"Cooperation with Rivals"
(April 11, 2006).
Department of Economics, UCSC.
Paper 617.
http://repositories.cdlib.org/ucscecon/617
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