Approximations and empirics for stochastic war equations

Hausken, Kjell; Moxnes, John F.

doi:10.1002/nav.20105

Cited by 8 publications

(2 citation statements)

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“…The model could also be adapted for other contexts, such as Connors' ( 2012) study of the 1853 Battle of Balaclava or Edmiston's (2011) study of a hypothetical near-future battle. Given the ample empirical data that is available for the 1944 Ardennes campaign, there might be potential for study there as well (see, e.g., Hausken and Moxnes, 2005).…”

Section: Discussionmentioning

confidence: 99%

The salvo combat model with a sequential exchange of fire

Armstrong

2014

Journal of the Operational Research Society

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This paper develops a version of the stochastic salvo combat model in which the exchange of fire is sequential, rather than simultaneous. This sequential-fire version is built by modifying the equations in the original simultaneous-fire version. The performance of the sequential model is tested by comparing its outputs to those of a Monte Carlo simulation. The fit between the model and the simulation is very close, especially for the mean and standard deviation of losses. The model is then applied to the Battle of the Coral Sea. The results suggest that attacking first would have given the American force a larger advantage than that provided by an extra aircraft carrier.

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Section: Discussionmentioning

confidence: 99%

The salvo combat model with a sequential exchange of fire

Armstrong

2014

Journal of the Operational Research Society

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“…In ancient linear war, squaring would not hold, so numerical superiority would be less decisive. Even for warfare as modern as the so-called Ardennes Campaign toward the end of World War II, Hausken and Moxnes (2005) find empirical support for linear rather than square war, which suggests low decisiveness. The deterministic Lanchester equations are limited such that the stronger side ultimately wipes out the weaker.…”

Section: Equilibrium Strategies Do Indeed Depend On Incentivesmentioning

confidence: 90%

Jack Hirshleifer: A Nobel Prize left unbestowed

Hausken

2006

European Journal of Political Economy

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Jack Hirshleifer contributed to investment theory, information economics, conflict, and bioeconomics, clarified the foundations of investment and capital theory in the spirit of Fisher, and made basic contributions to the analysis of covariance risk, gambling and insurance, the Modigliani-Miller Theorem, and public investment through a focus on time, uncertainty and information. He formulated new models of public goods, added to understanding of contest success functions, and explained the paradox of power. He developed a general equilibrium approach to conflict jointly encompassing production, exchange, appropriation and defense. He analyzed the emotions as guarantors of threats and promises, proposed alternatives to the tit-for-tat strategy, considered the bioeconomic causes of war, and investigated the truthful signaling hypothesis. Jack Hirshleifer was a leading scholar and original thinker of the 20th century. His scientific contributions have left a Nobel Prize unbestowed.Keywords: Investment and capital theory; Information economics; Applied theories of the firm; Uncertainty and information; Price theory; Economics; Political economy; The economic theory of conflict; Public goods; Production; Appropriation; Fighting; Combat; War; Bioeconomics; Biology; Evolutionary economics; Evolutionary psychology; Water supply and resource economics Beginning in 1950, Jack placed the theory of investment, interest, and capital on a firm theoretical foundation. He was also a founding father of the information economics revolution. In particular, he felt that investment theory was a confused mass of ill-defined concepts that were in dire need of a clear integrative framework. He found the basis for that framework in the work of Irving Fisher, and was thereby able to dispel controversies and distinguish lucidly between past ideas that were sensible and those that were confusions.From the late 1970s and thereafter, he was a leading economist contributing to our understanding of phenomena that had been usually studied within disciplines such as political science and biology. Jack was an economic theorist with broad-ranging interests. His fields of specialization included investment and capital theory, information economics, applied theories of the firm, uncertainty and information, price theory economics, political economy, the economic theory of conflict, public goods, production, appropriation, combat, war, bioeconomics, biology, evolutionary economics, evolutionary psychology, water supply and resource economics. During the period 1950-2005 he authored 7 books, some 75 articles, and 7 book reviews.Section 2 sets out Jack Hirshleifer's background and career. Section 3 discusses investment theory and the information economics revolution. Section 4 proceeds with the expanding domain of economics, conflict and sociobiology. Section 5 considers the provision of public goods. Section 6 is on conflict and Section 7 on biology. Section 8 provides a concluding evaluation of Jack Hirshleifer's scientific contributions.

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A bottleneck combat model: an application to the Battle of Thermopylae

Bongers

Torres

2019

Oper Res Int J

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Approximations and empirics for stochastic war equations

Cited by 8 publications

References 7 publications

The salvo combat model with a sequential exchange of fire

The salvo combat model with a sequential exchange of fire

Jack Hirshleifer: A Nobel Prize left unbestowed

A bottleneck combat model: an application to the Battle of Thermopylae

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