In this paper, we introduce a regularized mean-field game and study learning of this game under an infinite-horizon discounted reward function. Regularization is introduced by adding a strongly concave regularization function to the one-stage …

An important generalization of a Nash equilibrium is the case when the players must choose strategies which depend on the other players. The case in zero-sum differential games with players y and z when there is a constraint of the form $$g(y,z) …

Scalability of reinforcement learning algorithms to multi-agent systems is a significant bottleneck to their practical use. In this paper, we approach multi-agent reinforcement learning from a mean-field game perspective, where the number of …

We analyze different scenarios of defensive medicine in a novel framework based on game theory and network analysis, where links in the network represent healing relationships between a physician and a patient. The physician should choose between …

We consider the continental island model for a finite haploid population with a total number of $${\textit{n}}$$ n demes consisting of one continent and $$n-1$$ n - 1 islands. We assume viability differences in the population captured by a linear …

Within a noncooperative transboundary pollution dynamic game, we study the strategic impact of a region’s investment in the adoption of a cleaner technology, as embodied by a reduction in the emission per output ratio, on the equilibrium outcomes …

We compare two widely used allocation methods for assigning students to schools—the deferred acceptance (DA) mechanism and the Boston mechanism—in terms of students’ welfare under a symmetric incomplete information setting in which each student’s …

A cops and robbers game (CR) on graphs was originated in 1983 by Quilliot and by Nowakowski and Winkler independently. This game has been applied in many problems in the area of theoretical computer science such as information seeking, robot …

Problems of cooperation are frequent among living organisms, but they are difficult to solve. Humans have been able to produce large-scale cooperation among unrelated individuals through reputation systems. A challenging puzzle, however, is how …

This research proposes a periodic review multi-item two-layer inventory model. The main contribution is a novel approach to determine the can-order threshold in a two-layer model under time-dependent and uncertain demand and setup costs. The first …

In the original publication of the article, the affiliation details for the co-author “Paolo Pin” were incorrectly published. This has been corrected with this erratum.

Inspired by empirical evidence from the oil market, we build a model of an oligopoly facing a fringe as well as competition from renewable resources. We explore different subclasses of HARA utility functions (Cobb–Douglas, power and quadratic …

Motivated by data on co-authorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different notions of …

An abstract game satisfies Dominance Invariance if the indirect and the direct dominance relations, or myopic and farsighted dominance, are equivalent. Mauleon et al. (Int J Game Theory 43(4):925–943, 2014) study Dominance Invariance as an …

I study a two-player repeated game where payoffs are asymmetric. Attempts to form cooperative agreements in such an environment, for example by pro-rating actions relative to the one-shot Nash equilibrium, have generally struggled in practice. I …

This study develops a two-country differential game model of transboundary pollution control with a continuum of polluting and oligopolistic industries. Governments choose the paths of their pollution permits, the market-clearing prices of which …

This paper studies groundwater management through a leader–follower differential game between a water agency and farmers. The access to the common pool is not free and farmers have to pay a water tax to withdraw. To save this cost, we assume that …

This paper considers a society partitioned into ordered groups and examines the stable networks that players form. Four utility functions combining benefits and costs from network connections are introduced. The utilities significantly influence …

We analyze a class of stochastic dynamic games among teams with asymmetric information, where members of a team share their observations internally with a delay of d. Each team is associated with a controlled Markov Chain, whose dynamics are …

Mathematical models often aim to describe a complicated mechanism in a cohesive and simple manner. However, reaching perfect balance between being simple enough or overly simplistic is a challenging task. Frequently, game-theoretic models have an …