Whither the future of Pyramid City
(Update: Beautiful watercolor paintings of the Giza Necropolis and Pyramid City ideas are pre-pended to the document). We develop an economic game concerning the creation of a player with unitary characteristics that is adapted to a rare and unique resource. To do so, we use a multi-disciplinary method to define the game, where we identify the player through a process called comprehensive treatment planning. We advance first the perspective that preservation of built heritage is homologous to restoration of form and function in dentistry, and we explore how concepts in dentistry in the approach to patient casework may be applied to considerations of preservation of built heritage, vis-a-vis comprehensive treatment planning and a generalist-specialist model. To go about this, key tools are utilized, including Oswald Spengler's model of cultures as organisms and the stone throwing construction from mathematics. Key results are existence of homology between dentistry and built heritage, and the interpretation of certain instances of built heritage as archaeo-socio-economic perpetuities. We illustrate comprehensive treatment planning with a case study on Giza Necropolis of Ancient Egypt, containing around 10 million Pharaonic stones. Diagnosis is stone loss and chronic and acute inflammation. Comprehensive treatment planning is outlined in terms of Phases 0 - 3, where 0 is emergency, 1 is information acquisition and control of pathology, 2 is restoration, and 3 is maintenance. Strictly reversible restorations are utilized in as much as Giza Necropolis is unable to give consent. The elaboration of Phase 3 for Giza Necropolis as an archaeo-socio-economic perpetuity conveys a Pharaonic unitary representation called `Pyramid City.' We build a mathematical model for the revenues of Pyramid City and of bilateral trade flow between Pyramid City and locations in Egypt and describe strategies to maximize the Sharpe ratios. We describe real-world next steps for comprehensive treatment planning, i.e. playing the game.