{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:08:13Z","timestamp":1753880893924,"version":"3.41.2"},"reference-count":29,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"Slovenian ARIS","award":["P1-0383","J1-3002"],"award-info":[{"award-number":["P1-0383","J1-3002"]}]},{"DOI":"10.13039\/501100004488","name":"Croatian Science Foundation","doi-asserted-by":"crossref","award":["IP-2022-10-2277"],"award-info":[{"award-number":["IP-2022-10-2277"]}],"id":[{"id":"10.13039\/501100004488","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advs. Complex Syst."],"published-print":{"date-parts":[[2025,8]]},"abstract":"<jats:p> The Riviera model is a combinatorial model for a settlement along a coastline, introduced recently by the authors. Of most interest are the so-called jammed states, where no more houses can be built without violating the condition that every house needs to have free space to at least one of its sides. In this paper, we introduce new agents (predators and altruists) that want to build houses once the settlement is already in the jammed state. Their behavior is governed by a different set of rules, and this allows them to build new houses even though the settlement is jammed. Our main focus is to detect jammed configurations that are resistant to predators, to altruists, and to both predators and altruists. We provide bivariate generating functions, and complexity functions (configurational entropies) for such jammed configurations. We also discuss this problem in the two-dimensional setting of a combinatorial settlement planning model that was also recently introduced by the authors, and of which the Riviera model is just a special case. <\/jats:p>","DOI":"10.1142\/s0219525925500109","type":"journal-article","created":{"date-parts":[[2025,4,14]],"date-time":"2025-04-14T00:04:03Z","timestamp":1744589043000},"source":"Crossref","is-referenced-by-count":0,"title":["PREDATORS AND ALTRUISTS ARRIVING ON JAMMED RIVIERA"],"prefix":"10.1142","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8326-513X","authenticated-orcid":false,"given":"TOMISLAV","family":"DO\u0160LI\u0106","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Civil Engineering, University of Zagreb, Fra Andrije Ka\u010di\u0107a-Mio\u0161i\u0107a 26, Zagreb 10000, Croatia"},{"name":"Faculty of Information Studies, Novo Mesto, Slovenia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0912-8345","authenticated-orcid":false,"given":"MATE","family":"PULJIZ","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, Zagreb 10000, Croatia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1802-1542","authenticated-orcid":false,"given":"STJEPAN","family":"\u0160EBEK","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, Zagreb 10000, Croatia"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-6522-9554","authenticated-orcid":false,"given":"JOSIP","family":"\u017dUBRINI\u0106","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, Zagreb 10000, Croatia"}]}],"member":"219","published-online":{"date-parts":[[2025,5,31]]},"reference":[{"key":"S0219525925500109BIB001","series-title":"Memoirs of the American Mathematical Society","volume-title":"The Undecidability of the Domino Problem","volume":"66","author":"Berger R.","year":"1966"},{"key":"S0219525925500109BIB002","doi-asserted-by":"publisher","DOI":"10.1063\/1.1324994"},{"issue":"3","key":"S0219525925500109BIB003","first-page":"363","volume":"27","author":"De Smedt G.","year":"2002","journal-title":"Eur. Phys. J. B \u2014 Condens. Matter"},{"key":"S0219525925500109BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s100510051151"},{"key":"S0219525925500109BIB005","doi-asserted-by":"publisher","DOI":"10.26493\/1855-3974.3114.d47"},{"key":"S0219525925500109BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2024.06.011"},{"key":"S0219525925500109BIB007","volume-title":"Analytic Combinatorics","author":"Flajolet P.","year":"2013","edition":"4"},{"key":"S0219525925500109BIB008","doi-asserted-by":"publisher","DOI":"10.1021\/ja01875a053"},{"key":"S0219525925500109BIB009","doi-asserted-by":"publisher","DOI":"10.37236\/5150"},{"key":"S0219525925500109BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/0301-0104(74)80063-7"},{"key":"S0219525925500109BIB011","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2013\/06\/P06012"},{"key":"S0219525925500109BIB012","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.102.062108"},{"key":"S0219525925500109BIB013","doi-asserted-by":"publisher","DOI":"10.1140\/epjs\/s11734-023-00804-w"},{"key":"S0219525925500109BIB014","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/acd5bd"},{"key":"S0219525925500109BIB015","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511780516"},{"key":"S0219525925500109BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/s100510170221"},{"key":"S0219525925500109BIB017","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/34\/14\/101"},{"volume-title":"An Introduction to Symbolic Dynamics and Coding","year":"2020","author":"Lind D.","key":"S0219525925500109BIB018"},{"key":"S0219525925500109BIB019","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1959.tb00343.x"},{"key":"S0219525925500109BIB020","doi-asserted-by":"publisher","DOI":"10.1080\/00018739400101515"},{"key":"S0219525925500109BIB021","doi-asserted-by":"publisher","DOI":"10.55016\/ojs\/cdm.v18i2.73491"},{"key":"S0219525925500109BIB022","doi-asserted-by":"publisher","DOI":"10.5592\/CO\/CCD.2022.07"},{"key":"S0219525925500109BIB023","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.2023.2254181"},{"key":"S0219525925500109BIB024","doi-asserted-by":"publisher","DOI":"10.1007\/BF01418780"},{"volume-title":"The On-line Encyclopedia of Integer Sequences","year":"2022","author":"Sloane N. J. A.","key":"S0219525925500109BIB025"},{"key":"S0219525925500109BIB026","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511806292"},{"key":"S0219525925500109BIB027","series-title":"Cambridge Studies in Advanced Mathematics","volume-title":"Enumerative Combinatorics","volume":"49","author":"Stanley R. P.","year":"2012","edition":"2"},{"key":"S0219525925500109BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/S0927-7757(99)00409-4"},{"key":"S0219525925500109BIB029","unstructured":"Weibull, J. W.,  Evolutionary Game Theory  (MIT Press, Cambridge, MA, 1995), pp.  xxii+265."}],"container-title":["Advances in Complex Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219525925500109","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T15:13:25Z","timestamp":1752074005000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219525925500109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,31]]},"references-count":29,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2025,8]]}},"alternative-id":["10.1142\/S0219525925500109"],"URL":"https:\/\/doi.org\/10.1142\/s0219525925500109","relation":{},"ISSN":["0219-5259","1793-6802"],"issn-type":[{"type":"print","value":"0219-5259"},{"type":"electronic","value":"1793-6802"}],"subject":[],"published":{"date-parts":[[2025,5,31]]},"article-number":"2550010"}}