Stochastic games with endogenous transitions

Arbeitspapier

We introduce a stochastic game in which transition probabilities depend on the history of the play, i.e., the players' past action choices. To solve this new type of game under the limiting average reward criterion, we determine the set of jointly-convergent pure-strategy rewards which can be supported by equilibria involving threats. We examine the following setting for motivational and expository purposes. Each period, two agents exploiting a fishery choose between catching with restraint or without. The fish stock is in either of two states, High or Low, and in the latter each action pair yields lower payoffs. Restraint is harmless to the fish, but it is a dominated strategy in each stage game. Absence of restraint damages the resource, i.e., the less restraint the agents show, the higher the probablities that Low occurs at the next stage of the play. This state may even become absorbing, i.e., transitions to High become impossible.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Papers on Economics and Evolution ; No. 1024

Klassifikation und Themen

• Klassifikation: Wirtschaft ; Noncooperative Games ; Stochastic and Dynamic Games; Evolutionary Games; Repeated Games ; Renewable Resources and Conservation: Fishery; Aquaculture ; Ecological Economics: Ecosystem Services; Biodiversity Conservation; Bioeconomics; Industrial Ecology
• Thema: stochastic games ; endogenous transitions ; limiting average rewards ; equilibria ; common pool resource dilemma ; Stochastisches Spiel ; Allmenderessource ; Gleichgewicht ; Theorie

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): Joosten, Reinoud ; Meijboom, Robin
• Ereignis: Veröffentlichung
• (wer): Max Planck Institute of Economics
• (wo): Jena
• (wann): 2010

Weitere Informationen

• Handle: http://hdl.handle.net/10419/57574
• URN: urn:nbn:de:gbv:27-20110630-112051-8
• Letzte Aktualisierung: 10.03.2025, 11:42 MEZ