Immediately Reactive Equilibria in Infinitely Repeated Games with Additively Separable Continuous Payoffs
Takashi Kamihigashi and
Taiji Furusawa ()
No 199, Discussion Paper Series from Research Institute for Economics & Business Administration, Kobe University
This paper studies a class of infinitely repeated games with two players 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 the action of each player is a stationary function of the last action of the other player. We show that the set of IREs in the simultaneous move game is identical to that in the alternating move game. In both games, IREs are completely characterized in terms of indifference curves associated with what we call effective payoffs. A folk-type theorem using only IREs is established in a special case. Our results are applied to a prisoner's dilemma game with observable mixed strategies and a duopoly game. In the latter game, kinked demand curves with a globally stable steady state are derived.
Pages: 42 pages
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/dp199.pdf First version, 2006 (application/pdf)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:kob:dpaper:199
Access Statistics for this paper
More papers in Discussion Paper Series from Research Institute for Economics & Business Administration, Kobe University 2-1 Rokkodai, Nada, Kobe 657-8501 JAPAN. Contact information at EDIRC.
Bibliographic data for series maintained by Office of Promoting Research Collaboration, Research Institute for Economics & Business Administration, Kobe University ().