LEADER 03901nam 22005535 450 001 9910338256103321 005 20200701153200.0 010 $a3-030-12371-5 024 7 $a10.1007/978-3-030-12371-0 035 $a(CKB)4930000000042103 035 $a(MiAaPQ)EBC5743342 035 $a(DE-He213)978-3-030-12371-0 035 $a(PPN)235232149 035 $a(EXLCZ)994930000000042103 100 $a20190330d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMany Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security /$fby Vassili N. Kolokoltsov, Oleg A. Malafeyev 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (206 pages) 225 1 $aSpringer Series in Operations Research and Financial Engineering,$x1431-8598 300 $aIncludes index. 311 $a3-030-12370-7 327 $a1. Introduction: Main Models and LLN Methology -- Part I: Multi-agent Interaction and Nonlinear Markov Games -- 2. Best Response Principals -- 3. Dynamic Control of Major Players -- 4. Models of Growth Under Pressure -- Par II: Pools of Rational Optimizers -- 5. MFGs for Finite-state Models -- 6. Three State Model of Corruption and Inspection -- 7. Four State Model of Cyber-security -- 8. Turnpick Theory for MFGs on Two-dimensional Networks. 330 $aThere has been an increase in attention toward systems involving large numbers of small players, giving rise to the theory of mean field games, mean field type control and nonlinear Markov games. Exhibiting various real world problems involving major and minor agents, this book presents a systematic continuous-space approximation approach for mean-field interacting agents models and mean-field games models. After describing Markov-chain methodology and a modeling of mean-field interacting systems, the text presents various structural conditions on the chain to yield respective socio-economic models, focusing on migration models via binary interactions. The specific applications are wide-ranging ? including inspection and corruption, cyber-security, counterterrorism, coalition building and network growth, minority games, and investment policies and optimal allocation ? making this book relevant to a wide audience of applied mathematicians interested in operations research, computer science, national security, economics, and finance. 410 0$aSpringer Series in Operations Research and Financial Engineering,$x1431-8598 606 $aGame theory 606 $aProbabilities 606 $aCalculus of variations 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 615 0$aGame theory. 615 0$aProbabilities. 615 0$aCalculus of variations. 615 14$aGame Theory, Economics, Social and Behav. Sciences. 615 24$aProbability Theory and Stochastic Processes. 615 24$aCalculus of Variations and Optimal Control; Optimization. 676 $a300.15193 700 $aKolokoltsov$b Vassili N$4aut$4http://id.loc.gov/vocabulary/relators/aut$0441084 702 $aMalafeyev$b Oleg A$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910338256103321 996 $aMany Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security$92536865 997 $aUNINA