On a special case of non-symmetric resource extraction games withunbounded payoffs

dc.contributor.authorSylenko, Illia
dc.date.accessioned2021-11-13T12:25:29Z
dc.date.available2021-11-13T12:25:29Z
dc.date.issued2021
dc.description.abstractThe game of resource extraction/capital accumulation is a stochastic infinite-horizon game, which models a joint utilization of a productive asset over time.The paper complements the available results on pure Markov perfect equilib-rium existence in the non-symmetric game setting with an arbitrary numberof agents. Moreover, we allow that the players have unbounded utilities andrelax the assumption that the stochastic kernels of the transition probabilitymust depend only on the amount of resource before consumption. This classof the game has not been examined beforehand. However, we could provethe Markov perfect equilibrium existence only in the specific case of interest.Namely, when the players have constant relative risk aversion (CRRA) powerutilities and the transition law follows a geometric randomwalk in relationto the joint investment. The setup with the chosen characteristics is moti-vated by economic considerations, which makes it relevant to a certain rangeof real-word problems.en
dc.identifier.citationSylenko I. On a special case of non-symmetric resource extraction games with unbounded payoffs[electronic resource] / Illia Sylenko // An International Journal of Optimization and Control: Theories and Applications. - 2021. - Vol. 12, Issue 1. - P. 1-7.en
dc.identifier.urihttps://doi.org/10.11121/ijocta.01.2022.001070
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/21517
dc.language.isoenuk_UA
dc.relation.sourceAn International Journal of Optimization and Control: Theories and Applications.en
dc.statusfirst publisheduk_UA
dc.subjectStochastic gamesen
dc.subjectResource extractionen
dc.subjectMarkov perfect equilibriumen
dc.subjectIsoelastic utilityen
dc.subjectGeometric random walken
dc.subjectarticleen
dc.titleOn a special case of non-symmetric resource extraction games withunbounded payoffsen
dc.typeArticleuk_UA
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