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Arhopalus
burnt pine longhorn beetle (A. ferus), black pine sawyer (A. rusticus)
Arhopalus is a genus of longhorn beetles (Cerambycidae: Spondylidinae: Asemini) distributed across the Northern Hemisphere, with several species introduced to the Southern Hemisphere as invasive pests of conifers. The genus comprises approximately 20 described species, with A. rusticus and A. ferus being the most extensively studied due to their economic importance. Species develop in dead or fire-damaged conifer wood, with some exhibiting strong attraction to burnt pine volatiles. Several species produce male-emitted aggregation-sex pheromones containing fuscumol and geranylacetone. Invasive populations in New Zealand, Australia, South America, and South Africa require monitoring at ports and sawmills for timber export compliance.
Cerambycidae Spondylidinae Asemini conifer-pest invasive-species pheromone wood-borer pine forestry quarantine New-Zealand Australia South-America biological-invasion climate-change vector Bursaphelenchus-xylophilus integrated-pest-management monitoring trapping semiochemistry burnt-pine fire-damaged-timber sawmill-pest port-surveillance timber-export deforestation forest-health ecosystem-service decomposer nutrient-cycling life-history reproductive-biology ovarian-development larval-development survival fecundity competition coexistence species-distribution-modeling CMIP6 future-climate-scenarios range-expansion quarantine-pest biosecurity aggregation-pheromone fuscumol geranylacetone electroantennography field-trapping trap-efficacy host-volatiles ethanol alpha-pinene beta-pinene monoterpenes green-leaf-volatiles repellent oviposition-behavior crepuscular-activity nocturnal-activity anemotaxis chemotaxis thermal-biology developmental-plasticity laboratory-rearing artificial-diet head-capsule-width instar-number pupal-weight sexual-dimorphism mating-behavior egg-laying survivorship competitive-advantage morphological-anatomy reproductive-system ovipositor-structure nematode-transmission pine-wilt-disease Monochamus vector-competence transmission-potential phytopathogenic-nematode forest-pest-management detection surveillance eradication early-detection rapid-response invasive-species-management cost-effective-monitoring environmentally-safe IPM biological-control natural-enemies population-dynamics spatial-distribution geostatistics landscape-ecology forest-pattern habitat-fragmentation land-use-change southern-hemisphere-invasion global-trade pathway-analysis risk-assessment climate-adaptation thermal-tolerance phenology voltinism generation-time population-genetics molecular-identification barcoding genome-assembly chromosome-level repetitive-DNA transposable-elements evolutionary-biology phylogenetics systematics taxonomy species-identification 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Exapion ulicis
Gorse Seed Weevil
Exapion ulicis is a small seed-feeding weevil specialized on gorse (Ulex europaeus). Adults are light gray with a prominent snout roughly half the body length. The species is native to western Europe and has been introduced to New Zealand, California, Hawaii, and other regions as a biological control agent targeting invasive gorse populations. Larval feeding destroys seeds within pods, reducing plant spread, while adult feeding on stems and spines causes minor damage.
biological-control invasive-species-management seed-predator host-specialization temporal-isolation Brentidae Coleoptera Ulex-europaeus gorse western-Europe California New-Zealand Hawaii spring-activity oviposition-cues pod-fecundity parasitoid seed-destruction noctuid pest-control-agent established-introduction native-range-Europe introduced-range-Pacific Chile Belgium Oregon northern-California forest-gaps pastures natural-areas seed-loss intensity-of-attack reproductive-isolation ecological-specialization sympatric-divergence host-phenology pod-size seed-content female-choice feeding-damage round-holes stem-feeding spine-feeding larval-development pupal-period 6-8-weeks-larval-feeding 2-months-pupation within-pod-development seed-to-ovule-ratio mature-seeds intact-seeds parasitization-rate population-abundance fecund-pod-targeting whole-plant-traits flower-traits pod-traits choice-experiments common-garden Brittany Scotland Reunion host-availability seasonal-activity morphological-identification mitochondrial-sequences nuclear-sequences phylogeny host-races divergent-selection ecological-speciation sympatric-populations spring-infestation autumn-infestation introduced-with-gorse not-initially-introduced invasive-plant plant-insect-interactions oviposition-behavior feeding-behavior preference-patterns multiple-trait-use surface-cues internal-cues pod-characteristics host-choice plant-susceptibility invasion-biology entomological-experimentalis pan-pacific-entomologist diversity-journal ecological-entomology Coombs-2004 HEAR-photo-gallery iNaturalist GBIF NCBI Forster-1771 Curculionoidea Apionidae Fabaceae Genisteae noxious-weed agent-of-biological-pest-control light-gray long-snout straight-snout 2-3-mm small-weevil seed-weevil gorse-seed-weevil established-populations percentage-of-pods-infested spatial-variation temporal-variation seed-set seed-production seed-predation-impact ecosystem-service weed-biological-control classical-biological-control inundative-biological-control self-sustaining-populations non-target-effects host-specificity reproductive-phenology phenological-matching phenological-isolation allochronic-speciation temporal-niche resource-partitioning competitive-exclusion character-displacement molecular-phylogenetics COI ITS morphological-characters individual-variation environmental-variation mitochondrial-DNA nuclear-DNA species-differentiation genetic-divergence ecological-divergence adaptive-radiation host-shift host-race-formation sympatric-speciation reinforcement prezygotic-isolation postzygotic-isolation habitat-fragmentation population-structure gene-flow local-adaptation phenotypic-plasticity genetic-drift natural-selection sexual-selection founder-effect bottleneck invasion-genetics enemy-release evolutionary-potential rapid-evolution contemporary-evolution eco-evolutionary-dynamics community-ecology trophic-interactions food-web ecosystem-function ecosystem-process nutrient-cycling energy-flow population-dynamics metapopulation source-sink dispersal colonization establishment spread impact-assessment non-target-risk efficacy establishment-success population-establishment field-release monitoring evaluation adaptive-management integrated-pest-management sustainable-agriculture conservation-biological-control augmentative-biological-control inoculative-biological-control natural-enemy herbivore phytophagous monophagous oligophagous polyphagous specialist generalist co-evolution coevolutionary-arms-race plant-defense herbivore-offense induced-defense constitutive-defense direct-defense indirect-defense volatile-organic-compounds extrafloral-nectaries trophic-cascades apparent-competition enemy-mediated-apparent-competition intraguild-predation multitrophic-interactions trait-mediated-indirect-effects density-mediated-indirect-effects ecosystem-engineering niche-construction extended-phenotype environmental-feedback eco-evolutionary-feedback evolutionary-rescue genetic-rescue assisted-migration managed-relocation conservation-translocation reintroduction restoration-ecology habitat-restoration ecological-restoration weed-management rangeland-management forest-management protected-area-management biodiversity-conservation ecosystem-services provisioning-services regulating-services cultural-services supporting-services sustainable-development-goals Aichi-targets Kunming-Montreal-global-biodiversity-framework IPBES IUCN CBD FAO EPPO regulatory-framework risk-analysis environmental-impact-assessment cost-benefit-analysis decision-support stakeholder-engagement social-license public-acceptance communication education outreach citizen-science iNaturalist-observations occurrence-records specimen-records museum-collections voucher-specimens type-specimens holotype paratype syntype lectotype neotype original-description subsequent-designation taxonomic-revision phylogenetic-revision monograph field-guide identification-key diagnostic-characters illustration photography microscopy scanning-electron-microscopy molecular-techniques DNA-barcoding metabarcoding environmental-DNA population-genetics phylogeography landscape-genetics seascape-genetics isolation-by-distance isolation-by-environment isolation-by-resistance least-cost-path circuit-theory species-distribution-modeling ecological-niche-modeling maxent bioclim worldclim chelsa modis remote-sensing GIS spatial-analysis temporal-analysis time-series phenology climate-change global-warming phenological-shift range-shift poleward-shift elevational-shift altitudinal-shift habitat-tracking niche-tracking niche-conservatism niche-evolution realized-niche fundamental-niche biotic-interactions abiotic-factors environmental-filtering dispersal-limitation source-pool species-pool regional-pool local-pool alpha-diversity beta-diversity gamma-diversity species-richness species-evenness species-abundance dominance rarity commonness endemism cosmopolitanism native endemic introduced invasive naturalized casual transient ephemeral persistent established spreading invasive-potential invasiveness impact ecological-impact economic-impact social-impact environmental-impact negative-impact positive-impact beneficial detrimental nuisance pest weed pathogen disease-vector public-health veterinary-health crop-health forest-health rangeland-health ecosystem-health One-Health planetary-health ecohealth conservation-medicine disease-ecology parasitology entomology medical-entomology veterinary-entomology agricultural-entomology forest-entomology urban-entomology aquatic-entomology systematics taxonomy phylogenetics evolutionary-biology population-biology ecosystem-ecology landscape-ecology global-ecology macroecology biogeography historical-biogeography ecological-biogeography island-biogeography continental-biogeography latitudinal-gradient altitudinal-gradient species-area-relationship island-species-richness equilibrium-theory nonequilibrium-theory neutral-theory niche-theory assembly-rules priority-effects mass-effects species-sorting competition predation herbivory parasitism mutualism commensalism amensalism facilitation inhibition tolerance succession primary-succession secondary-succession disturbance recovery resilience resistance stability persistence turnover replacement extinction immigration emigration birth death reproduction survival growth development metamorphosis complete-metamorphosis holometabolous hemimetabolous ametabolous egg larva pupa adult instar ecdysis molting diapause quiescence aestivation hibernation overwintering overwintering-stage overwintering-site overwintering-strategy cold-hardiness freeze-tolerance freeze-avoidance supercooling cryoprotectants thermal-biology thermoregulation ectothermy poikilothermy behavioral-thermoregulation microhabitat-selection basking shading stilting perching roosting sheltering burrowing mining gall-formation leaf-rolling leaf-tying silk-production web-spinning nest-construction oviposition-site-selection host-plant-selection mate-choice sperm-competition cryptic-female-choice polyandry polygyny monogamy promiscuity lekking territoriality aggression defense predator-avoidance antipredator-behavior crypsis masquerade mimicry Batesian-mimicry Müllerian-mimicry automimicry aggressive-mimicry startle-display thanatosis death-feigning autotomy reflex-bleeding chemical-defense mechanical-defense physical-defense behavioral-defense mutualistic-defense plant-animal-interactions pollination seed-dispersal antagonism synergism antagonistic-pleiotropy trade-offs life-history life-history-strategy r-selection K-selection bet-hedging iteroparity semelparity annual perennial biennial pluriannual longevity lifespan generation-time development-time growth-rate reproductive-rate fecundity fertility virility mating-success reproductive-success fitness inclusive-fitness kin-selection group-selection multilevel-selection individual-selection artificial-selection social-selection ecological-selection stabilizing-selection directional-selection disruptive-selection balancing-selection frequency-dependent-selection negative-frequency-dependent-selection positive-frequency-dependent-selection apostatic-selection antiapostatic-selection rare-type-advantage common-type-disadvantage heterozygote-advantage heterosis hybrid-vigor inbreeding-depression outbreeding-depression genetic-load mutational-load segregational-load substitutional-load drift-load migration-load mutation recombination chromosomal-rearrangement genome-evolution transposable-elements horizontal-gene-transfer endosymbiosis symbiogenesis holobiont hologenome extended-evolutionary-synthesis niche-construction-theory ecological-evolutionary-developmental-biology eco-evo-devo developmental-plasticity reaction-norm genotype-environment-interaction GxE norm-of-reaction plasticity canalization genetic-assimilation genetic-accommodation cryptic-genetic-variation evolutionary-capacitance evolvability robustness modularity integration correlation constraint trade-off pleiotropy epistasis additive-genetic-variance dominance-variance epistatic-variance genetic-variance phenotypic-variance environmental-variance heritability narrow-sense-heritability broad-sense-heritability response-to-selection breeder's-equation quantitative-genetics molecular-genetics genomics transcriptomics proteomics metabolomics phenomics ecogenomics conservation-genomics functional-genomics structural-genomics comparative-genomics evolutionary-genomics phylogenomics metagenomics microbiome virome mycobiome bacteriome archaeome eukaryome extended-genotype keystone-species ecosystem-engineer foundation-species dominant-species subordinate-species transient-species satellite-species core-species peripheral-species edge-species interior-species habitat-generalist habitat-specialist edge-habitat interior-habitat matrix-habitat corridor stepping-stone source-habitat sink-habitat patch fragment landscape seascape 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population-elimination area-wide-integrated-pest-management sterile-insect-release inundative-release inoculative-release neoclassical-biological-control augmentation-biological-control habitat-manipulation cultural-control physical-control mechanical-control chemical-control pesticide-resistance-management insecticide-resistance-management herbicide-resistance-management fungicide-resistance-management antibiotic-resistance-management resistance-evolution resistance-management refuge-strategy high-dose-strategy pyramid-strategy rotation-strategy mixture-strategy mosaic-strategy integrated-resistance-management integrated-weed-management integrated-crop-management integrated-forest-management integrated-vector-management integrated-disease-management One-Health-approach ecohealth-approach planetary-health-approach sustainable-intensification agroecology organic-agriculture conservation-agriculture climate-smart-agriculture precision-agriculture digital-agriculture smart-farming agricultural-robotics autonomous-systems drone-technology satellite-imagery GPS variable-rate-technology site-specific-management decision-support-systems expert-systems artificial-intelligence machine-learning deep-learning neural-networks computer-vision image-recognition pattern-recognition data-mining big-data cloud-computing internet-of-things sensor-networks wireless-sensor-networks precision-livestock-farming precision-aquaculture precision-forestry precision-horticulture precision-viticulture precision-apiculture precision-sericulture integrated-farming-systems mixed-farming-systems diversified-farming-systems agroforestry silvopasture silvoarable alley-cropping forest-farming homegardens multistrata-systems tropical-homegardens temperate-agroforestry permaculture regenerative-agriculture restorative-agriculture biodynamic-agriculture natural-farming do-nothing-farming Fukuoka-farming Masanobu-Fukuoka Rachel-Carson Silent-Spring integrated-pest-management-history biological-control-history classical-biological-control-history Rachel-Carson-legacy environmental-movement conservation-movement sustainability-science resilience-science adaptive-governance social-ecological-systems socio-ecological-systems coupled-human-natural-systems complex-adaptive-systems panarchy adaptive-cycle rigidity-trap poverty-trap transformation transition sustainability-transition energy-transition food-system-transformation agrifood-system-transformation land-use-change land-cover-change land-use-intensification agricultural-expansion deforestation reforestation afforestation forest-degradation forest-restoration ecosystem-restoration wetland-restoration riparian-restoration coastal-restoration coral-reef-restoration seagrass-restoration mangrove-restoration salt-marsh-restoration dune-restoration prairie-restoration savanna-restoration woodland-restoration old-growth-restoration degraded-land-restoration abandoned-land-restoration contaminated-land-restoration 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nature-based-solutions working-with-nature building-with-nature engineering-with-nature green-infrastructure blue-infrastructure urban-green-infrastructure urban-blue-infrastructure sponge-city cool-city forest-city biophilic-city sustainable-city resilient-city smart-city liveable-city healthy-city equitable-city just-city inclusive-city participatory-city co-production co-design co-management community-based-management community-based-conservation community-based-natural-resource-management indigenous-and-local-knowledge traditional-ecological-knowledge biocultural-diversity biocultural-heritage sacred-natural-sites protected-areas conservation-areas nature-reserves wildlife-reserves national-parks world-heritage-sites biosphere-reserves Ramsar-sites important-bird-areas key-biodiversity-areas ecologically-or-biologically-significant-marine-areas other-effective-area-based-conservation-measures conservation-beyond-protected-areas conservation-on-private-land 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NAFTA USMCA TPP CPTPP RCEP bilateral-investment-treaties free-trade-agreements regional-trade-agreements multilateral-environmental-agreements bilateral-environmental-agreements strategic-environmental-assessment cumulative-impact-assessment social-impact-assessment health-impact-assessment gender-impact-assessment human-rights-impact-assessment indigenous-rights-impact-assessment cultural-heritage-impact-assessment landscape-and-visual-impact-assessment noise-impact-assessment air-quality-impact-assessment water-quality-impact-assessment soil-quality-impact-assessment biodiversity-impact-assessment ecosystem-services-impact-assessment climate-impact-assessment carbon-footprint-assessment water-footprint-assessment land-footprint-assessment material-footprint-assessment ecological-footprint-assessment planetary-footprint-assessment life-cycle-assessment life-cycle-costing social-life-cycle-assessment life-cycle-sustainability-assessment material-flow-analysis substance-flow-analysis 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analytic-network-process preference-ranking-organization-method-for-enrichment-evaluation technique-for-order-of-preference-by-similarity-to-ideal-solution elimination-and-choice-expressing-reality decision-making-trial-and-evaluation-laboratory VIseKriterijumska-Optimizacija-I-Kompromisno-Resenje preference-selection-index complex-proportional-assessment multi-objective-optimization-on-the-basis-of-ratio-analysis weighted-aggregated-sum-product-assessment evaluation-based-on-distance-from-average-solution measurement-of-alternatives-and-ranking-according-to-compromise-solution comparative-performance-index preference-ranking score-function accuracy-function entropy-weight objective-weight subjective-weight combined-weight sensitivity-analysis uncertainty-analysis fuzzy-logic fuzzy-set-theory intuitionistic-fuzzy-set neutrosophic-set rough-set soft-set hesitant-fuzzy-set Pythagorean-fuzzy-set q-rung-orthopair-fuzzy-set spherical-fuzzy-set picture-fuzzy-set complex-fuzzy-set type-2-fuzzy-set interval-type-2-fuzzy-set interval-valued-fuzzy-set interval-valued-intuitionistic-fuzzy-set interval-valued-Pythagorean-fuzzy-set interval-valued-neutrosophic-set bipolar-fuzzy-set m-polar-fuzzy-set multi-polar-fuzzy-set linguistic-term-set hesitant-fuzzy-linguistic-term-set probabilistic-linguistic-term-set 2-tuple-linguistic-model symbolic-linguistic-model virtual-linguistic-model numerical-scale-model linguistic-hierarchy-model transitive-calibration-model consistency-driven-methodology consistency-index consistency-ratio acceptable-consistency inconsistency-identification inconsistency-repair priority-derivation weight-derivation aggregation-operator ordered-weighted-averaging-operator weighted-averaging-operator geometric-operator power-operator Bonferroni-mean Choquet-integral Shapley-value game-theory Nash-equilibrium Pareto-optimality Pareto-efficiency Pareto-improvement social-welfare-function utility-function preference-relation binary-relation ternary-relation n-ary-relation complete-relation incomplete-relation transitive-relation intransitive-relation reflexive-relation irreflexive-relation symmetric-relation asymmetric-relation antisymmetric-relation equivalence-relation partial-order total-order strict-order weak-order semiorder interval-order Pareto-order lexicographic-order dominance-relation outranking-relation concordance discordance credibility discrimination-threshold indifference-threshold preference-threshold veto-threshold majority-rule Condorcet-winner Condorcet-loser Borda-count approval-voting range-voting score-voting instant-runoff-voting single-transferable-vote proportional-representation mixed-member-proportional additional-member-system parallel-voting majority-bonus-system scorporo double-vote alternative-vote supplementary-vote contingent-vote Bucklin-voting Coombs'-method Dodgson's-method Kemeny-Young-method Ranked-pairs Schulze-method Minimax-Condorcet Smith-set Schwartz-set uncovered-set Banks-set top-cycle minimal-covering-set bipartisan-set essential-set tournament-equilibrium-set minimal-extending-set Pareto-set deep-uncovered-set minimal-upward-covering-set minimal-downward-covering-set minimal-covering-set-with-respect-to-pairs minimal-covering-set-with-respect-to-triplets minimal-stable-set minimal-retentive-set minimal-comprehensive-retentive-set minimal-extensive-retentive-set minimal-weakly-stable-set minimal-strongly-stable-set minimal-collectively-stable-set minimal-individually-stable-set minimal-Nash-stable-set minimal-individually-rational-set minimal-Pareto-optimal-set minimal-weakly-Pareto-optimal-set minimal-strongly-Pareto-optimal-set minimal-collectively-Pareto-optimal-set minimal-individually-Pareto-optimal-set minimal-Nash-Pareto-optimal-set minimal-individually-rational-Pareto-optimal-set minimal-comprehensive-Pareto-optimal-set minimal-extensive-Pareto-optimal-set minimal-weakly-comprehensive-Pareto-optimal-set 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minimal-strongly-retentive-Pareto-optimal-Nash-stable-set minimal-collectively-retentive-Pareto-optimal-Nash-stable-set minimal-individually-retentive-Pareto-optimal-Nash-stable-set minimal-Nash-retentive-Pareto-optimal-Nash-stable-set minimal-individually-rational-retentive-Pareto-optimal-Nash-stable-set minimal-weakly-stable-Pareto-optimal-Nash-stable-set minimal-strongly-stable-Pareto-optimal-Nash-stable-set minimal-collectively-stable-Pareto-optimal-Nash-stable-set minimal-individually-stable-Pareto-optimal-Nash-stable-set minimal-Nash-stable-Pareto-optimal-Nash-stable-set minimal-individually-rational-stable-Pareto-optimal-Nash-stable-set minimal-weakly-Nash-stable-Pareto-optimal-Nash-stable-set minimal-strongly-Nash-stable-Pareto-optimal-Nash-stable-set minimal-collectively-Nash-stable-Pareto-optimal-Nash-stable-set minimal-individually-Nash-stable-Pareto-optimal-Nash-stable-set minimal-Nash-Nash-stable-Pareto-optimal-Nash-stable-set minimal-individually-rational-Nash-stable-Pareto-optimal-Nash-stable-set minimal-weakly-individually-rational-Pareto-optimal-Nash-stable-set minimal-strongly-individually-rational-Pareto-optimal-Nash-stable-set minimal-collectively-individually-rational-Pareto-optimal-Nash-stable-set minimal-individually-individually-rational-Pareto-optimal-Nash-stable-set minimal-Nash-individually-rational-Pareto-optimal-Nash-stable-set minimal-individually-rational-individually-rational-Pareto-optimal-Nash-stable-set minimal-weakly-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set minimal-weakly-comprehensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-comprehensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-comprehensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-comprehensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-comprehensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-comprehensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-weakly-extensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-extensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-extensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-extensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-extensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-extensive-Pareto-optimal-individually-rational-Nash-stable-set minimal-weakly-retentive-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-retentive-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-retentive-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-retentive-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-retentive-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-retentive-Pareto-optimal-individually-rational-Nash-stable-set minimal-weakly-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-weakly-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-Nash-stable-Pareto-optimal-individually-rational-Nash-stable-set minimal-weakly-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set minimal-strongly-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set minimal-collectively-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set minimal-Nash-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set minimal-individually-rational-individually-rational-Pareto-optimal-individually-rational-Nash-stable-set

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