caa a22 4500 445359714 CHVBK 20180317142911.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10100-010-0148-5 doi (NATIONALLICENCE)springer-10.1007/s10100-010-0148-5 Shield versus sword resource distribution in K-round duels [Elektronische Daten] [Kjell Hausken, Gregory Levitin] The paper considers optimal resource distribution between offense and defense in a duel. In each round of the duel two actors exchange attacks distributing the offense resources equally across K rounds. The offense resources are expendable (e.g. missiles), whereas the defense resources are not expendable (e.g. bunkers). The outcomes of each round are determined by a contest success functions which depend on the offensive and defensive resources. The game ends when at least one target is destroyed or after K rounds. We show that when each actor maximizes its own survivability, then both actors allocate all their resources defensively. Conversely, when each actor minimizes the survivability of the other actor, then both actors allocate all their resources offensively. We then consider two cases of battle for a single target in which one of the actors minimizes the survivability of its counterpart whereas the counterpart maximizes its own survivability. It is shown that in these two cases the minmax survivabilities of the two actors are the same, and the sum of their resource fractions allocated to offense is equal to 1. However, their resource distributions are different. In the symmetric situation when the actors are equally resourceful and the two contest intensities are equal, then the actor that fights for the destruction of its counterpart allocates more resources to offense. We demonstrate a methodology of game analysis by illustrating how the resources, contest intensities and number of rounds in the duels impact the survivabilities and resource distributions. Springer-Verlag, 2010 Survivability nationallicence Duel nationallicence Defense nationallicence Attack nationallicence Protection nationallicence Contest intensity nationallicence Game theory nationallicence r , R : Actors' resources nationallicence ρ : Ratio r/R between actor 1's and actor 2's resources nationallicence x , X : Offense-defense resource distribution parameters nationallicence K : Number of consecutive attacks nationallicence s , S : Target survivability (probability of survival in all K attacks) nationallicence v , V : Success probability of each attack nationallicence p i , P i : Probability that the target is destroyed in the i-th attack nationallicence μ , m : Contest intensities in attacks against the actors nationallicence θ ( q | K ) : Conditional survivability of target 2 in q rounds of a K-round duel nationallicence Θ( q | K ) : Conditional survivability of target 1 in q rounds of a K-round duel nationallicence Hausken Kjell Faculty of Social Sciences, University of Stavanger, Stavanger, Norway aut Levitin Gregory Collaborative Autonomic Computing Laboratory, School of Computer Science, University of Electronic Science and Technology of China, Chengdu, People's Republic of China aut Central European Journal of Operations Research Springer-Verlag 19/4(2011-12-01), 589-603 1435-246X 19:4<589 2011 19 10100 https://doi.org/10.1007/s10100-010-0148-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10100-010-0148-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hausken Kjell Faculty of Social Sciences, University of Stavanger, Stavanger, Norway aut NATIONALLICENCE 700 1- Levitin Gregory Collaborative Autonomic Computing Laboratory, School of Computer Science, University of Electronic Science and Technology of China, Chengdu, People's Republic of China aut NATIONALLICENCE 773 0- Central European Journal of Operations Research Springer-Verlag 19/4(2011-12-01), 589-603 1435-246X 19:4<589 2011 19 10100 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer