We develop a numerical model that simulates the evolution of a virtual population with an incentive and ability-based wage, capital yield from savings, social welfare system, and total income subject to taxation and political turnovers. Meta-heuristics, particle swarm optimization (PSO) in...

We numerically solve the classical "Game of Pure Strategy" using linear programming. We notice an intricate even-odd behaviour in the results of our computations that seems to encourage odd or maximal bids.

In the Inverse Set, relative to the Shapley Value of a non-convex cooperative game, we derive a procedure to find out a convex game in which the Egalitarian Allocation is a coalitional rational value. The procedure depends on the relationship between two parameters called the Convexity Threshold...

Mastermind is a two players zero sum game of imperfect information. Starting with Erdos and Rényi (1963), its combinatorics have been studied to date by several authors, e.g., Knuth (1977), Chvátal (1983), Goodrich (2009). The first player, called “codemaker”, chooses a secret code and the...

CAR T-cell immunotherapy is a new development in the treatment of leukemia, promising a new era in oncology. Although so far, this procedure only helps 50-90% of patients and, like other cancer treatments, has serious side effects. In this work, we have proposed a controlled model for leukemia...

An elementary approach to a class of optimal control problems with pathwise state constraint is proposed. Based on spike variations of control, it yields simple proofs and constructive necessary conditions, including some new characterizations of optimal control. Two examples are discussed.

A model of production funds acquisition, which includes two differential links of the zero order and two series-connected inertial links, is considered in a one-sector economy. Zero-order differential links correspond to the equations of the Ramsey model. These equations contain scalar bounded...

A stochastic difference game is considered in which a player wants to minimize the time spent by a controlled one-dimensional symmetric random walk {𝑋𝑛,𝑛=0,1,…} in the continuation region 𝐶:={1,2,…}, and the second player seeks to maximize the survival time in C. The process...

We consider a clearing problem in peer-to-peer energy markets, where prosumers can trade energy among each other and with the main grid to meet their energy demands. By using a game- theoretic formulation and exploiting operator-theoretic methods for generalized Nash equilibrium seeking, we...

We investigate a differential evasion game with multiple pursuers and an evader for the infinite systems of differential equations in ℓ2. The control functions of the players are subject to geometric constraints. The pursuers' goal is to bring the state of at least one of the controlled...