In this paper, we investigate a non-zero-sum stochastic differential reinsurance-investment game problem between two insurers. Both insurers can purchase proportional reinsurance and invest in financial market that contains risk-free asset risky asset. We consider the insurers' wealth processes with delay to characterize bounded memory feature. For considering effec...

International trade has improved living standards but also become a major channel for spreading shocks on global scale. The increasing relevance of intersectoral linkages and in intermediates renewed interest input–output techniques. This paper enriches the literature empirical models with an input–output/econometric approach including substitution effects price spillovers. Our model shows that...

Dynamic zero-sum games are an important class of problems with applications ranging from evasion-pursuit and heads-up poker to certain adversarial versions of control problems such as multi-armed bandit and multiclass queuing problems. These games are generally very difficult to solve even when one player’s strategy is fixed, and so constructing and evaluating good sub-optimal policies for each...

We consider $2$-colourings $f : E(G) \rightarrow \{ -1 ,1 \}$ of the edges a graph $G$ with colours $-1$ and $1$ in $\mathbb{Z}$. A subgraph $H$ is said to be zero-sum under $f$ if $f(H) := \sum_{e\in E(H)} f(e) =0$. study following type questions, several cases obtaining best possible results: Under which conditions on $|f(G)|$ can we guarantee existence spanning tree $G$? The types are comple...

We examine experimentally how humans behave when they, unbeknownst to them, play against a computer which implements its part of a mixed strategy Nash equilibrium. We consider two games, one zero-sum and another unprofitable with a pure minimax strategy. A minority of subjects’ play was consistent with their Nash equilibrium strategy. But a larger percentage of subjects’ play was more consisten...

One of the most critical problems facing governments at present is terrorism. Most recent studies are striving to find an optimal solution this problem that threatens security and stability people. To combat terrorism, government uses various means, such as improving education quality, providing labor opportunities, seeking social justice, creating religious awareness, building arrangements. Th...

The predominant paradigm in evolutionary game theory and more generally online learning games is based on a clear distinction between population of dynamic agents that interact given fixed, static game. In this paper, we move away from the artificial divide games, to introduce analyze large class competitive settings where both they play evolve strategically over time. We focus arguably most ar...

A given number of n applicants are to be interviewed for a position of secretary. They present themselves one-by-one in random order, all n! permutations being equally likely. Two players I and II jointly interview the i-th applicant and observe that his (or her) relative rank is y for I and z for II, relative to i − 1 applicants that have already seen (rank 1 is for the best). Each player choo...