Dynamic Games and Applications
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Deterministic Approximation of a Stochastic Imitation Dynamics with Memory
Dynamic Games and Applications -
Markov Perfect Equilibria in Multi-Mode Differential Games with Endogenous Timing of Mode Transitions
Dynamic Games and Applications - Tập 12 - Trang 363-393 - 2021
We study Markov perfect equilibria (MPE) of two-player multi-mode differential games with controlled state dynamics, where one player controls the transition between modes. Different types of MPE are characterized distinguishing between delay equilibria, inducing for some initial conditions mode switches after a positive finite delay, and now or never equilibria, under which, depending on the init......
Climate Engineering in an Interconnected World: The Role of Tariffs
Dynamic Games and Applications - Tập 8 - Trang 573-587 - 2018
This paper investigates strategic trade policies as a response to negative externalities linked to climate engineering. Parties negatively affected, or which only perceive damages, may react to geoengineering by deploying trade sanctions, i.e. the imposition of tariffs. By introducing a dynamic trade model, we show that geoengineering-averse countries have an incentive to implement or increase exi......
Fixation Probabilities of Strategies for Bimatrix Games in Finite Populations
Dynamic Games and Applications - Tập 7 - Trang 93-111 - 2015
Recent developments in stochastic evolutionary game theory in finite populations yield insights that complement the conventional deterministic evolutionary game theory in infinite populations. However, most studies of stochastic evolutionary game theory have investigated dynamics of symmetric games, although not all social and biological phenomena are described by symmetric games, e.g., social int......
Multi-Resolution Large Population Stochastic Differential Games and Their Application to Demand Response Management in the Smart Grid
Dynamic Games and Applications - Tập 3 - Trang 68-88 - 2013
Dynamic demand response (DR) management is becoming an integral part of power system and market operational practice. Motivated by the smart grid DR management problem, we propose a multi-resolution stochastic differential game-theoretic framework to model the players’ intra-group and inter-group interactions in a large population regime. We study the game in both risk-neutral and risk-sensitive s......
Some Game-Theoretic Remarks on Two-Player Generalized Cops and Robbers Games
Dynamic Games and Applications - Tập 11 - Trang 785-802 - 2021
In this paper, we study the two-player generalized cops and robbers (GCR) games introduced by Bonato and MacGillivray. Our main goals are to provide: (a) a game-theoretic formulation of GCR and (b) a self-contained game-theoretic proof that GCR has a value and an optimal strategy profile. To achieve our goals, we first formulate GCR (and CR as a special case) as a zero-sum stochastic game. Then we......
Signed Network Formation Games and Clustering Balance
Dynamic Games and Applications - Tập 10 - Trang 783-797 - 2020
We propose a signed network formation game, in which pairs of individuals strategically change the signs of the edges in a complete network. These individuals are members of a social network who strategically reduce cognitive dissonances by changing their interpersonal appraisals. We characterize the best-response dynamics for this game and prove that its implementation can dynamically drive the n......
Oligopoly Pricing and Advertising in Isoelastic Adoption Models
Dynamic Games and Applications - Tập 5 - Trang 334-360 - 2014
This paper deals with deterministic dynamic pricing and advertising differential games which are stylized models of special durable-good oligopoly markets. We analyze infinite horizon models with constant price and advertising elasticities of demand in the cases of symmetric and asymmetric firms. In particular, we consider general saturation/adoption effects. These effects are modeled as transform......
Optimality, Equilibrium, and Curb Sets in Decision Problems Without Commitment
Dynamic Games and Applications - Tập 10 - Trang 478-492 - 2019
The paper considers a class of decision problems with an infinite time horizon that contains Markov decision problems as an important special case. Our interest concerns the case where the decision maker cannot commit himself to his future action choices. We model the decision maker as consisting of multiple selves, where each history of the decision problem corresponds to one self. Each self is a......
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