On a noncooperative stochastic game played by internally cooperating generations
type: Item
instance of: scholarly article
title: On a noncooperative stochastic game played by internally cooperating generations
zbMATH Open document ID: 1188.91031
published in: Journal of Optimization Theory and Applications
publication date: 2010-03-05T00:00:00Z
review text: This paper is devoted to the study of intergenerational stochastic games played on a general state space. It is assumed that each generation consists of \(n\) players which are either cooperative or non-cooperative. In the former case, the author shows the existence of a stationary perfect equilibrium, which needs not be a pure equilibrium. The latter case, when the number of players in each generation equals one, provides a new contribution on perfect equilibria in a stochastic dynamic model with a so-called hyperbolic player, whose preferences change over time.
reviewed by: Anna Jaskiewicz
Mathematics Subject Classification ID: 91A15
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91B62
zbMATH DE Number: 5677801
zbMATH Keywords: intergenerational stochastic games
zbMATH Keywords: altruistic economy of growth
zbMATH Keywords: perfect equilibria
zbMATH Keywords: hyperbolic discounting
author: Andrzej S. Nowak
MaRDI profile type: Publication
full work available at URL: s10957-009-9588-2
OpenAlex ID: W2064403621
cites work: Golden Eggs and Hyperbolic Discounting
cites work: Dynamic Choices of Hyperbolic Consumers
cites work: Consistent planning under quasi-geometric discounting
cites work: Discounting and altruism to future decision-makers
cites work: A multigenerational game model to analyze sustainable development
cites work: Q3417935
cites work: Dynamic equilibria in multigeneration stochastic games
cites work: A multigenerational dynamic game of resource extraction
cites work: Existence of perfect equilibria in a class of multigenerational stochastic games of capital accumulation
cites work: Q4464551
cites work: Existence of p-Equilibrium and Optimal Stationary Strategies in Stochastic Games
cites work: Equilibrium welfare and government policy with quasi-geometric discounting
cites work: Q5531649
cites work: Q4269108
cites work: Measurable relations
cites work: Multifunctions with values in a space of probability measures
cites work: Q5509984
cites work: Q3659490
cites work: Q5482557
cites work: Population growth and technological change in a global warming model
cites work: An extension of the usual model in statistical decision theory with applications to stochastic optimization problems
cites work: Q5667133
cites work: Existence of Stationary Correlated Equilibria with Symmetric Information for Discounted Stochastic Games
cites work: Q5186490
cites work: A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
cites work: On a new class of nonzero-sum discounted stochastic games having stationary Nash equilibrium points
cites work: Markovian equilibrium in a class of stochastic games: Existence theorems for discounted and undiscounted models
cites work: Continuous stochastic games of capital accumulation with convex transitions
cites work: Markov equilibria of stochastic games with complementarities
cites work: Stationary equilibria in discounted stochastic games with weakly interacting players
cites work: On stochastic games in economics
cites work: Stationary Markov Equilibria
cites work: The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization
cites work: Q4317892
cites work: Saddle Points for Linear Differential Games
cites work: Equilibrium Points in Nonzero-Sum n-Person Submodular Games
cites work: Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities
cites work: Q3911700
cites work: Non-cooperative games
DOI: 10.1007/S10957-009-9588-2
description: scientific article; zbMATH DE number 5677801