Lambertini, Luca ;
Albaek, Svend
(1998)
Price Vs Quantity in Duopoly Supergames With Close Substitutes.
Bologna:
Dipartimento di Scienze economiche DSE,
p. 12.
DOI
10.6092/unibo/amsacta/5005.
In: Quaderni - Working Paper DSE
(303).
ISSN 2282-6483.
Full text available as:
Abstract
We model the non-cooperative choice between quantity and price in order to stabilize collusion, through two meta-games where each firm alternatively considers its payoff in the market supergame as directly related to its own or the rival's ability to collude. In the first setting, (i) if cartel profits are evenly split, firms
collude in prices irrespective of the degree of differentiation, so that initially a Prisoners' Dilemma is observed, while for very close substitutes the outcome is Pareto-efficient; (ii) if Nash bargaining is adopted, price setting is dominant when substitutability is low, while no dominant strategy exists when substitutability is high, and the game has two asymmetric equilibria. In the second setting, the Nash equilibrium is unique and Pareto-efficient for the most part of the substitutability range, while again two asymmetric equilibria obtain when products are very close substitutes.
Abstract
We model the non-cooperative choice between quantity and price in order to stabilize collusion, through two meta-games where each firm alternatively considers its payoff in the market supergame as directly related to its own or the rival's ability to collude. In the first setting, (i) if cartel profits are evenly split, firms
collude in prices irrespective of the degree of differentiation, so that initially a Prisoners' Dilemma is observed, while for very close substitutes the outcome is Pareto-efficient; (ii) if Nash bargaining is adopted, price setting is dominant when substitutability is low, while no dominant strategy exists when substitutability is high, and the game has two asymmetric equilibria. In the second setting, the Nash equilibrium is unique and Pareto-efficient for the most part of the substitutability range, while again two asymmetric equilibria obtain when products are very close substitutes.
Document type
Monograph
(Working Paper)
Creators
Keywords
supergame, prisoners' dilemma
Subjects
ISSN
2282-6483
DOI
Deposit date
30 Mar 2016 09:21
Last modified
30 Mar 2016 09:21
URI
Other metadata
Document type
Monograph
(Working Paper)
Creators
Keywords
supergame, prisoners' dilemma
Subjects
ISSN
2282-6483
DOI
Deposit date
30 Mar 2016 09:21
Last modified
30 Mar 2016 09:21
URI
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