Global Dynamics in Repeated Games with Additively Separable Payoffs
AbstractThis paper studies the global dynamics of a class of infinitely repeated two-player games in which the action space of each player is an interval, and the one-shot payoff of each player is additively separable in their actions. We define an immediately reactive equilibrium (IRE) as a pure-strategy subgame perfect equilibrium such that each player's action is a stationary function of the opponent's last action. We completely characterize IREs and their dynamics in terms of certain indifference curves. Our results are used to show that in a prisoners' dilemma game with observable mixed strategies, gradual cooperation occurs when the players are sufficiently patient, and that in a certain duopoly game, kinked demand curves emerge naturally.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Research Institute for Economics & Business Administration, Kobe University in its series Discussion Paper Series with number DP2010-04.
Length: 38 pages
Date of creation: Feb 2010
Date of revision: Jun 2010
Contact details of provider:
Postal: 2-1 Rokkodai, Nada, Kobe 657-8501 JAPAN
Phone: +81-(0)78 803 7036
Fax: +81-(0)78 803 7059
Web page: http://www.rieb.kobe-u.ac.jp/index-e.html
More information through EDIRC
Immediately reactive equilibria; Additively separable payoffs; Kinked demand; Gradual cooperation; Prisoners' dilemma;
Other versions of this item:
- Takashi Kamihigashi & Taiji Furusawa, 2010. "Global dynamics in repeated games with additively separable payoffs," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 899-918, October.
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roger Lagunoff & Hans Haller, 1997.
"Markov Perfect Equilibria in Repeated Asynchronous Choice Games,"
Game Theory and Information
- Haller, Hans & Lagunoff, Roger, 2010. "Markov Perfect equilibria in repeated asynchronous choice games," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1103-1114, November.
- Hans Haller & Roger Lagunoff, 2006. "Markov Perfect Equilibria in Repeated Asynchronous Choice Games," Levine's Bibliography 321307000000000560, UCLA Department of Economics.
- Taiji Furusawa, 2001. "Threats and Concessions in Tariff Settings," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-123, Boston University - Department of Economics.
- Taiji Furusawa & Takashi Kamihigashi, 2012.
"Threats Or Promises? A Built-In Mechanism Of Gradual Reciprocal Trade Liberalization,"
The Japanese Economic Review,
Japanese Economic Association, vol. 63(2), pages 259-279, 06.
- Taiji Furusawa & Takashi Kamihigashi, 2011. "Threats or Promises? A Built-in Mechanism of Gradual Reciprocal Trade Liberalization," Discussion Paper Series DP2011-27, Research Institute for Economics & Business Administration, Kobe University, revised Jan 2012.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University).
If references are entirely missing, you can add them using this form.