Simulation and Wargaming. Группа авторов

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that with the complexity that these simulations have, all the processes of combat are modeled to a high degree of precision, thus the simulation’s outputs must be believed without question or debate. Subscribers to either school miss the fundamental truth that the models in these simulations are abstractions and approximations of some specific aspects of combat that the simulation was originally designed to model. All simulations are comprised of one or more models, and all models are an abstraction of reality, with some processes modeled explicitly, some implicitly, and some processes not modeled at all because the simulation’s designer did not intend for the simulation to address those excluded processes. Prospective simulation users need to do some research and come to at least a basic understanding of what a simulation under consideration for use in a particular study was originally designed to model, and what its strengths and shortcomings are before they select a simulation that will be useful for the purpose at hand. In a RAND paper examining non‐monotonic, chaotic output from a very simple deterministic, Lanchester‐based combat simulation (2 variables, 18 data elements, and 8 rules), the authors state “The typical model simulates combat between opposing forces at some level of abstraction. No combat model is seriously expected to be absolutely predictive of actual combat outcomes. It is common, however, to expect models to be relatively predictive. That is, if a capability is added to one side and the battle is refought, the difference in battle outcomes is expected to reflect the contribution of the added capability.”32 This concept of relative predictability underpins the usage of simulations to conduct Analyses of Alternatives, or AoAs, studies that are used to justify weapon system acquisitions in DoD.

      The Capability and Capacity of Modern Computing to Represent Combat

      Let us now begin to examine ground combat and see if it fits the description of the type of games AI has successfully mastered, specifically finite size and well‐specified rules.

      Finite Size

      For finite size, we need to consider the number of pieces, or entities, and the size of the game board, or terrain box.

      Number of Pieces/Entities

      Terrain

      The game of chess has 64 squares, alternating in color but identical otherwise. The chess board is two‐dimensional, that is the 64 squares all occupy the same plane. The modern battlefield whether it be the mountainous terrain of Afghanistan, Korea, or Iran; the open and rolling terrain of the North German Plain; or the deserts of Iraq and Kuwait is a three‐dimensional terrain: mountains, hills, plains, and valleys. That terrain is broken up by water: rivers, streams, lakes, swamps. There can be vegetation and man‐made objects that sit on top of the terrain. The terrain and these objects, unlike the chess board, change over time. Rain and snow change the trafficability of the terrain for combat systems, and it can be different for different types of systems (wheeled versus tracked and dismounted infantry). The terrain can be deformed by digging trenches, building obstacles, and explosions. Vegetation can change over time – a deciduous forest has much better lines of sight after the trees have dropped their leaves. Man‐made objects can be rubbled or destroyed. For the time being, we will ignore the airspace above the terrain, but fixed and rotary wing aircraft, manned and unmanned, are an integral part of modern ground combat, given the weather permits. And if we do represent aircraft, we cannot forget that rounds fired from artillery and mortars do share the same airspace as aircraft.

      Rules

      Let us now consider rules. For ease of understanding and simplicity, we will only cover the major rules for movement, attack, adjudication, and victory conditions.

      Movement

      The movement rules of chess are fairly straightforward: each of the six pieces has unique movement rules. Moves are alternated between the two players, that is one player moves, and that move is observed and then analyzed by the opponent before the opponent moves. There is really no time–distance factor in a chess move, only one piece can be moved in a turn, and it must conform to the movement rules for that given piece. In a move, the more mobile pieces (queen, bishop, rook) can move from one end of the board to the other, while the king is limited to one square per move. If we considered chess as a wargame, it would be an open wargame, all information is available to all players.

      Attack

      In chess, an opponent’s piece can be attacked if it occupies a space that the attacker can move one of its pieces to using the proscribed

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