One family of heterogeneous strategies in differential games with (a)symmetric players is developed in which one player adopts an anticipating open-loop strategy and the other adopts a standard Markovian strategy. Via conjecturing principle, the anticipating open-loop strategic player plans his...

We consider a dynamic voluntary advertising model with a duopoly. Firms can use advertising and price as competitive tools where product quality is a given and the market is not fully covered by consumers. Advertising also plays a role as a public good. In this situation, we investigate how...

The purpose of this paper is to contribute to our understanding of the dynamics of struggles over resources by studying a game between a producer that can guard and buy fortifications and a pirate. It is assumed that the returns from defence and raiding depends on the ratio of the resources...

Rufus P. Isaacs joined the RAND Corporation, Santa Monica, California, in 1948 and started to develop the theory of dynamic games in the early 1950s. Until winter 1954/55 - when Isaacs left the RAND Corporation - he investigated two player, zero-sum dynamic games of the classic pursuit-evasion...

We propose a meta-heuristic approach for solving nonlinear dynamic tracking games. In contrast to more "traditional" methods based on linear-quadratic (LQ) techniques, this derivative-free method is very flexible (e.g. to introduce inequality constraints). The meta-heuristic is applied to a...

Unique-lowest sealed-bid auctions are auctions in which participation is endogenous and the winning bid is the lowest bid among all unique bids. Such auctions admit very many Nash equilibria (NEs) in pure and mixed strategies. The two-bidders' auction is similar to the Hawk-Dove game, which...

Dynamic decision-making without commitment is usually modelled as a game between the current and future selves of the decision maker. It has been observed that if the time-horizon is infinite, then such games may have multiple subgame-perfect equilibrium solutions. We provide a sufficient...

Using techniques from evolutionary game theory, we analyze potential games with continuous player sets, a class of games which includes a general model of network congestion as a special case. We concisely characterize both the complete set of Nash equilibria and the set of equilibria which are...

Broadly speaking, institutional reformers decide about the sequencing of types of reforms, either addressing institutional quality or macroeconomic stability. This paper develops a dynamic population game, in which agents play a simple anonymous-exchange game of cooperating or defecting. Agents...

Motivated by the Covid-19 epidemic, we analyse a SIR model of an epidemic but with endogenous social distancing, and calibrate it to UK data to study various hypothetical scenarios of government intervention regarding social distancing. We explicitly take into account that (a) there is...