eprintid: 48186 rev_number: 6 eprint_status: archive userid: 1482 importid: 105 dir: disk0/00/04/81/86 datestamp: 2023-10-09 08:34:51 lastmod: 2023-10-09 08:38:19 status_changed: 2023-10-09 08:34:51 type: article metadata_visibility: show creators_name: Bayer, Peter creators_name: West, Jeffrey creators_idrefppn: 259789666 creators_affiliation: Toulouse School of Economics; Institute for Advanced Study in Toulouse creators_halaffid: 1002422 creators_halaffid: 306973 title: Games and the Treatment Convexity of Cancer ispublished: pub subjects: subjects_ECO abstract: Evolutionary game theory has been highly valuable in studying frequency-dependent selection and growth between competing cancer phenotypes. We study the connection between the type of competition as defined by the properties of the game, and the convexity of the treatment response. Convexity is predictive of differences in the tumor’s response to treatments with identical cumulative doses delivered with different variances. We rely on a classification of 2×2 games based on the signs of “gains of switching,” containing information about the kind of selection through the game’s equilibrium structure. With the disease starting in one game class, we map the type of effects treatment may have on the game depending on dosage and the implications of treatment convexity. Treatment response is a linear function of dose if the game is a Prisoner’s Dilemma, Coordination, or Harmony game and does not change game class, but may be convex or concave for Anti-Coordination games. If the game changes class, there is a rich variety in response types including convex–concave and concave–convex responses for transitions involving Anti-Coordination games, response discontinuity in case of a transition out of Coordination games, and hysteresis in case of a transition through Coordination games. date: 2023-08 date_type: published publisher: Springer id_number: 10.1007/s13235-023-00520-z official_url: http://tse-fr.eu/pub/128436 faculty: tse divisions: tse language: en has_fulltext: TRUE doi: 10.1007/s13235-023-00520-z view_date_year: 2023 full_text_status: public publication: Dynamic Games and Applications place_of_pub: Etats-Unis refereed: TRUE issn: 2153-0785 oai_identifier: oai:tse-fr.eu:128436 harvester_local_overwrite: creators_name harvester_local_overwrite: pending harvester_local_overwrite: creators_idrefppn harvester_local_overwrite: creators_halaffid harvester_local_overwrite: publisher harvester_local_overwrite: place_of_pub oai_lastmod: 2023-09-07T10:27:39Z oai_set: tse site: ut1 citation: Bayer, Peter and West, Jeffrey (2023) Games and the Treatment Convexity of Cancer. Dynamic Games and Applications. document_url: https://publications.ut-capitole.fr/id/eprint/48186/1/2023.02.27.530257v1.full.pdf