{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T08:10:23Z","timestamp":1759133423550,"version":"3.41.2"},"reference-count":27,"publisher":"Emerald","issue":"1","license":[{"start":{"date-parts":[[2017,3,13]],"date-time":"2017-03-13T00:00:00Z","timestamp":1489363200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJICC"],"published-print":{"date-parts":[[2017,3,13]]},"abstract":"<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Purpose<\/jats:title>\n<jats:p>The paper aims to build the connections between game theory and the resource allocation problem with general uncertainty. It proposes modeling the distributed resource allocation problem by Bayesian game. During this paper, three basic kinds of uncertainties are discussed. Therefore, the purpose of this paper is to build the connections between game theory and the resource allocation problem with general uncertainty.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Design\/methodology\/approach<\/jats:title>\n<jats:p>In this paper, the Bayesian game is proposed for modeling the resource allocation problem with uncertainty. The basic game theoretical model contains three parts: agents, utility function, and decision-making process. Therefore, the probabilistic weighted Shapley value (WSV) is applied to design the utility function of the agents. For achieving the Bayesian Nash equilibrium point, the rational learning method is introduced for optimizing the decision-making process of the agents.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Findings<\/jats:title>\n<jats:p>The paper provides empirical insights about how the game theoretical model deals with the resource allocation problem uncertainty. A probabilistic WSV function was proposed to design the utility function of agents. Moreover, the rational learning was used to optimize the decision-making process of agents for achieving Bayesian Nash equilibrium point. By comparing with the models with full information, the simulation results illustrated the effectiveness of the Bayesian game theoretical methods for the resource allocation problem under uncertainty.<\/jats:p>\n<\/jats:sec>\n<jats:sec>\n<jats:title content-type=\"abstract-subheading\">Originality\/value<\/jats:title>\n<jats:p>This paper designs a Bayesian theoretical model for the resource allocation problem under uncertainty. The relationships between the Bayesian game and the resource allocation problem are discussed.<\/jats:p>\n<\/jats:sec>","DOI":"10.1108\/ijicc-03-2016-0013","type":"journal-article","created":{"date-parts":[[2017,3,6]],"date-time":"2017-03-06T09:48:43Z","timestamp":1488793723000},"page":"52-67","source":"Crossref","is-referenced-by-count":6,"title":["A game theoretical approach for distributed resource allocation with uncertainty"],"prefix":"10.1108","volume":"10","author":[{"given":"Lei","family":"Xue","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Changyin","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fang","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"issue":"4","key":"key2020120812252306600_ref001","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/j.peva.2009.08.002","article-title":"Fair resource allocation in wireless networks in the presence of a jammer","volume":"67","year":"2010","journal-title":"Performance Evaluation"},{"first-page":"1","article-title":"Stochastic strategic routing reduces attack effects","year":"2011","key":"key2020120812252306600_ref002"},{"issue":"5","key":"key2020120812252306600_ref003","doi-asserted-by":"crossref","first-page":"1146","DOI":"10.1109\/TAC.2011.2107051","article-title":"Optimal synchronization for networks of noisy double integrators","volume":"56","year":"2011","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"4","key":"key2020120812252306600_ref004","first-page":"1","article-title":"Statistical mechanics of competitive resource allocation using agent-based models","volume":"552","year":"2015","journal-title":"Physics Reports"},{"year":"2014","key":"key2020120812252306600_ref005","article-title":"Fair resource allocation under an unknown jamming attack: a Bayesian game"},{"issue":"8","key":"key2020120812252306600_ref006","doi-asserted-by":"crossref","first-page":"1278","DOI":"10.1109\/TIFS.2014.2329241","article-title":"Incorporating attack-type uncertainty into network protection","volume":"9","year":"2014","journal-title":"IEEE Transactions on Information Forensics and Security"},{"first-page":"429","article-title":"Jamming game in a dynamic slotted ALOHA network","year":"2012","key":"key2020120812252306600_ref007"},{"issue":"8","key":"key2020120812252306600_ref008","doi-asserted-by":"crossref","first-page":"2182","DOI":"10.1109\/TCSI.2009.2037848","article-title":"Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control","volume":"57","year":"2010","journal-title":"IEEE Transactions on Circuits Systems. I, Reg. Papers"},{"issue":"12","key":"key2020120812252306600_ref009","doi-asserted-by":"crossref","first-page":"4103","DOI":"10.1109\/TIT.2005.859277","article-title":"Resource allocation under uncertainty using the maximum entropy principle","volume":"51","year":"2005","journal-title":"IEEE Transactions on Information Theory"},{"issue":"3","key":"key2020120812252306600_ref010","first-page":"205","article-title":"On weighted shapley values","volume":"16","year":"1983","journal-title":"International Journal of Game Theory"},{"issue":"1","key":"key2020120812252306600_ref011","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1109\/TAC.2009.2033763","article-title":"Bisection algorithm of increasing algebraic connectivity by adding an edge","volume":"55","year":"2010","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"1","key":"key2020120812252306600_ref012","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TAC.2005.861710","article-title":"On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian","volume":"51","year":"2006","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"1","key":"key2020120812252306600_ref013","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/TWC.2010.101810.100311","article-title":"Simplified relay selection and power allocation in cooperative cognitive radio systems","volume":"10","year":"2011","journal-title":"IEEE Transactions on Wireless Communications"},{"key":"key2020120812252306600_ref014","unstructured":"Marden, J.R. and Wierman, A. (2008), \u201cDistributed welfare games\u201d, discussion paper, Department of ECEE, University of Colorado, Boulder, CO."},{"issue":"10","key":"key2020120812252306600_ref015","doi-asserted-by":"crossref","first-page":"5187","DOI":"10.1109\/TWC.2009.081318","article-title":"Distributed transmit power allocation for multihop cognitive-radio systems","volume":"8","year":"2009","journal-title":"IEEE Transactions on Wireless Communications"},{"issue":"9","key":"key2020120812252306600_ref016","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1109\/TAC.2004.834113","article-title":"Consensus problems in networks of agents with switching topology and time-delays","volume":"49","year":"2004","journal-title":"IEEE Transactions on Automatic Control"},{"volume-title":"An Introduction to Game Theory","year":"2002","key":"key2020120812252306600_ref017"},{"issue":"1","key":"key2020120812252306600_ref018","first-page":"91","article-title":"Optimal resource allocation for network protection against spreading processes","volume":"1","year":"2014","journal-title":"IEEE Transactions on Control of Network Systems"},{"issue":"6","key":"key2020120812252306600_ref019","first-page":"1503","article-title":"On consensus algorithms for double-integrator dynamics","volume":"58","year":"2008","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"2","key":"key2020120812252306600_ref020","doi-asserted-by":"crossref","first-page":"941","DOI":"10.1109\/TVT.2008.925308","article-title":"Distributed resource management in multihop cognitive radio networks for delay-sensitive transmission","volume":"58","year":"2009","journal-title":"IEEE Transactions on Vehicular Technology"},{"issue":"7","key":"key2020120812252306600_ref021","doi-asserted-by":"crossref","first-page":"2249","DOI":"10.1109\/TCOMM.2014.2331072","article-title":"Auction-based relay power allocation: pareto optimality, fairness, and convergence","volume":"62","year":"2014","journal-title":"IEEE Transactions on Communications"},{"issue":"9","key":"key2020120812252306600_ref022","doi-asserted-by":"crossref","first-page":"348","DOI":"10.1109\/JSAC.2013.SUP.0513031","article-title":"Efficiency resource allocation for device-to-device underlay communication systems: a reverse iterative combinatorial auction based approach","volume":"31","year":"2013","journal-title":"IEEE Journal on Selected Areas in Communications"},{"issue":"8","key":"key2020120812252306600_ref023","doi-asserted-by":"crossref","first-page":"1924","DOI":"10.1109\/TCSI.2011.2106032","article-title":"Distributed higher order consensus protocols in multi-agent dynamical systems","volume":"58","year":"2011","journal-title":"IEEE Transactions on Circuits Systems. I, Reg. Papers"},{"issue":"6","key":"key2020120812252306600_ref024","doi-asserted-by":"crossref","first-page":"1568","DOI":"10.1109\/TSMCB.2009.2021254","article-title":"Distributed consensus filtering in sensor networks","volume":"39","year":"2009","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics, Part B"},{"issue":"7","key":"key2020120812252306600_ref025","article-title":"Games with incomplete information played by \u2018Bayesian\u2019 players, parts I, II, and III","volume":"14","year":"2004","journal-title":"Management Science"},{"issue":"1","key":"key2020120812252306600_ref026","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1109\/JSAC.2010.100110","article-title":"Double auction mechanisms for resource allocation in autonomous networks","volume":"28","year":"2010","journal-title":"IEEE Journal on Selected Areas in Communications"},{"first-page":"224","article-title":"Evolutionary algorithms, Markov decision processes, adaptive critic designs, and clustering: commonalities, hybridization, and performance","year":"2004","key":"key2020120812252306600_ref027"}],"container-title":["International Journal of Intelligent Computing and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/IJICC-03-2016-0013\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/IJICC-03-2016-0013\/full\/html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T22:54:09Z","timestamp":1753397649000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.emerald.com\/ijicc\/article\/10\/1\/52-67\/121771"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,13]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,3,13]]}},"alternative-id":["10.1108\/IJICC-03-2016-0013"],"URL":"https:\/\/doi.org\/10.1108\/ijicc-03-2016-0013","relation":{},"ISSN":["1756-378X"],"issn-type":[{"type":"print","value":"1756-378X"}],"subject":[],"published":{"date-parts":[[2017,3,13]]}}}