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2 Operations Research and Decisions

2 HAUSKEN K.

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Choosing what to protect when attacker resources and asset valuations are uncertain

100%

HAUSKEN K.

Operations Research and Decisions

2014

tom 24

nr 3

23-44

The situation has been modelled where the attacker’s resources are unknown to the defender. Protecting assets presupposes that the defender has some information on the attacker’s resource capabilities. An attacker targets one of two assets. The attacker’s resources and valuations of these assets are drawn probabilistically. We specify when the isoutility curves are upward sloping (the defender prefers to invest less in defense, thus leading to higher probabilities of success for attacks on both assets) or downward sloping (e.g. when one asset has a low value or high unit defense cost). This stands in contrast to earlier research and results from the uncertainty regarding the level of the attacker’s resources. We determine which asset the attacker targets depending on his type, unit attack costs, the contest intensity, and investment in defense. A two stage game is considered, where the defender moves first and the attacker moves second. When both assets are equivalent and are treated equivalently by both players, an interior equilibrium exists when the contest intensity is low, and a corner equilibrium with no defense exists when the contest intensity is large and the attacker holds large resources. Defense efforts are inverse U shaped in the attacker’s resources.

Exchange of goods while investing into production and safety

100%

HAUSKEN K.

Operations Research and Decisions

2013

tom 23

nr 1

29-35

The tradeoff between production and safety investment is scrutinized for two agents who convert resources into production and safety investment while simultaneously exchanging goods voluntarily. We quantify how two Cobb–Douglas parameters, one scaling production versus safety, and the other scaling the relative importance of two goods, impact two agents’ production, safety effort, incomes, export, import, price, and utilities. An agent’s income from producing a good reaches a maximum for an intermediate value of the Cobb–Douglas parameter that scales the importance of productive effort relative to safety effort. The price of good 2 in terms of good 1, and the agents’ utilities depend on both the Cobb–Douglas parameters, the productivity parameter, and both agents’ resources and unit costs of production and safety effort.