The analysis of politics in antiquity presents new opportunities for political science and international relations, particularly the ancient New World (c. 2000 B.C. to A.D. 1521). Governance through leadership and institutions, collective action, war and peace, alliance dynamics, regional hegemonies, interstate rivalries, and other universal patterns of world politics existed in Mesoamerica, antedating the modern state system. We report findings from a study to record systematically the rise and fall of Maya polities in the Mesoamerican political system, using sources from archaeology and epigraphy. Based on tests of competing hypotheses and new distribution statistics and hazard rates (survival analysis) for 72 Maya polities, our findings support a model of Maya political dynamics based on Preclassic origins, punctuated phases of development, multiple cycles of system expansion and collapse, and weaker political stability for increasingly complex polities. We draw two main implications: (a) a new theory of the Maya political collapse(s), based on their failure to politically integrate; and (b) confirmation for a new periodization of Maya political evolution, different from the traditional cultural periodization, based on several cycles of rise-and-fall, not just one. Our findings may also make possible future investigations in areas such as the war-polarity and war-alliances hypotheses. China also spawned pristine polity systems. As one prominent Mayanist notes, "since 1960 we have moved Maya archaeology and texts from myth to history" (Marcus, 1996). Although much speculation has characterized our thinking on the evolution of Maya polities, few if any studies have measured and compared their evolutionary rise and fall as a cohesive political system, using the most valid and reliable data available today. The systematic measurement and comparison of Maya polities are important because they will advance our understanding of early political dynamics and their comparison with the modern system of world politics. In the last thirty years, archaeology, epigraphy, and ethnohistory, together with other allied sciences and humanities, have begun to show a more precise (albeit disciplinarily fragmented) understanding of the long-range evolution of the Maya and other early polity systems. 1 Our new data set and analysis builds on these earlier efforts from anthropology and proposes some new ideas for testing competing explanations using political science theory and research methods.In this six-year study we developed a new data set to measure and compare the rise and fall of individual Maya polities, including all those that eventually evolved into major states, obtaining the first distribution statistics and associated survival analysis results. Our measurement used primary, secondary, and tertiary sources, provided by contemporary archaeological, ethnohistorical, and epigraphic evidence. Our main findings and tests of competing hypotheses, based on the identification of 72 Maya polities with sufficiently accurate dates ...