War Games: Instructions

Serious eye injuries due to war games.

Mean Field Stackelberg Games: Aggregation of Delayed Instructions

In this paper, we consider an N-player interacting strategic game in the presence of a (endogenous) dominating player, who gives direct influence on individual agents, through its impact on their control in the sense of Stackelberg game, and then on the whole community. Each individual agent is subject to a delay effect on collecting information, specifically at a delay time, from the dominatin...

Researching and Developing Serious Games as Interactive Learning Instructions

As serious games gain momentum in the academic arena, no doubt more educators and instructional technologists will begin considering the possibility of making their own games for instruction. As developers of instructional resources, instructional technologists need to steer clear of producing more ‘video’ games, and instead, developing more ‘serious’ games that incorporate both learning and as...

New Effects-Based Operations Models in War Games

For more than a dozen years most components of the Department of Defense (DoD) have been exploring the means for incorporating effects based thinking into their planning, execution, and assessment activities of the command and control process. Over the same period of time effects based tools that support the development of analytical models relating actions to effects have been developed by the...

Dynamic Programming Principle for Tug-of-war Games with Noise

Consider a two-player zero-sum-game in a bounded open domain Ω described as follows: at a point x ∈ Ω, Players I and II play an ε-step tug-of-war game with probability α, and with probability β (α + β = 1), a random point in the ball of radius ε centered at x is chosen. Once the game position reaches the boundary, Player II pays Player I the amount given by a fixed payoff function F . We give a...