Social and Behavioral Sciences Commons^™

Sperner's Lemma, The Brouwer Fixed Point Theorem, The Kakutani Fixed Point Theorem, And Their Applications In Social Sciences, Ayesha Maliwal

Electronic Theses and Dissertations

Can a cake be divided amongst people in such a manner that each individual is content with their share? In a game, is there a combination of strategies where no player is motivated to change their approach? Is there a price where the demand for goods is entirely met by the supply in the economy and there is no tendency for anything to change? In this paper, we will prove the existence of envy-free cake divisions, equilibrium game strategies and equilibrium prices in the economy, as well as discuss what brings them together under one heading.

This paper examines three …

Exchange Patterns And Relations In Collaborative Governance., Charles Wharton Kaye-Essien

Electronic Theses and Dissertations

Collaborative governance has received considerable attention in recent years. From environmental resource management to public safety, collaborative governance continues to play a vital role in regional problem solving. In spite of this increasing popularity previous attempts to model the political, economic, and demographic determinants of collaboration have in most cases produced inconsistent results, thereby undermining the ability to generalize from such findings. Additionally, our understanding of the relational patterns that emanate from collaborative agreements remains fairly rudimentary. The main objective of this research is to address some of the gaps in the literature and improve our understanding of collaborative governance …