Some neglected axioms in fair division

Conditions one might impose on fair allocation procedures are introduced. Nondiscrimination requires that agents share an item in proportion to their entitlements if they receive nothing else. The "price" procedures of Pratt (2007), including the Nash bargaining procedure, satisfy this. Other prominent efficient procedures do not. In two-agent problems, reducing the feasible set between the solution and one agent's maximum point increases the utility cost to that agent of providing any given utility gain to the other and is equivalent to decreasing the dispersion of the latter's values for the items he does not receive without changing their total. One-agent monotonnicity requires that such a change should not hurt the first agent, limited monotonicity that the solution should not change. For prices, the former implies convexity in the smaller of the two valuations, the latter linearity. In either case, the price is at least their average and hence spiteful.Fair division, efficient allocation, nondiscrimination axiom, monotonicity axioms, envy-free, spite, bargaining solutions.

Far O\u27er The Deep Blue Sea

[Verse 1]The moon is beaming brightly love, Upon the deep blue seaA trusty crew is waiting near,For thee, dear girl, for thee!Then leave thy downy couch, my love, And with thy sailor flee;His gallant bark shall bear thee safe,Far o\u27er the deep blue sea,Far o\u27er the deep, the deep blue sea. [Verse 2]The storm-bird sleeps upon the rockNo angry surges roarNo sound disturbs the slumb\u27ring deepNot e\u27en the dipping oar:No watchful eye is on thee now,Then,dearest, hie with me,And share a daring sailor\u27s love,Far o\u27er the deep blue sea. [Verse 3]She comes! she comes! with trembling stepOh! happy shall we beWhen safely moor\u27d, on other shores,From ev\u27ry danger free!Now, speed thee on my trusty bark,Our hopes are all on theeBear, bear, us to our peaceful homeFar o\u27er the deep blue sea

Mind the gap : an examination of the pause in modern theatre; and, Shadows : a play (major creative work); and, Bank accounts : a collage of monologues (minor creative work)

Both as a student of theatre and, eventually, as a professional practitioner, it has long been apparent to me that there is a dearth of reference material on what has become one of the modern theatre’s most important elements: the pause. Actors, directors and playwrights can only interpret the word ‘pause’ according to their own experience and its meaning remains nebulous, even after agreement has been reached in a specific context. The essay, Mind The Gap, examines the significance of the pause to these various practitioners. It suggests, with examples, close analysis of the purpose of each pause, differentiation of the terms used to denote them and interrogation of various well-known playwrights’ intentions with its use. Mind The Gap is offered as an initial investigation on which to base further, more detailed research from which students and professionals can reach agreement to find a common language to describe and define the unspoken. In Shadows, the major creative work, I use the form of the English burlesque to satirise the increasing influence that television is having on modern family life. I have experimented with filling the pauses in one narrative, the life of the Agnew family, with a second narrative, the television programme, Secret White Women’s Business. Bank Accounts, the minor work, is another experiment where several brief histories are embedded in a common narrative set in a commonplace environment. The pauses central to Bank Accounts are filled with the unspoken relationships between strangers. Both plays are intended to present women as equal players in the game of life rather than as victims of male chauvinism

Indigenous Veterans of the First World War and their Families in the Prairie West

This study of forty-five military pension files of Indigenous First World War veterans of the Treaty 4, 6 and 7 regions shows that the racist perspectives and structures of settler colonialism on the Prairies could prevent just administration of benefits. Pension files of Indigenous veterans expose the tragedy of their lives during and after the First World War. Many soldiers had lingering pains and ailments as a result of the war, as well as continuing problems shaking the gaze of settler colonialism, which seemed unable to view them as both Indigenous and veterans. Despite the numerous legal and cultural obstacles to being treated equally to other veterans, many Indigenous men and their families were paid pensions, which were valuable, especially during the hardships on First Nations reserves in the interwar years

Review of “Indigenous Peoples and the Second World War: The Politics, Experiences and Legacies of War in the US, Canada, Australia and New Zealand” by R. Scott Sheffield and Noah Riseman

Review of Indigenous Peoples and the Second World War: The Politics, Experiences and Legacies of War in the US, Canada, Australia and New Zealand by R. Scott Sheffield and Noah Risema

Evolution of the genera Vitex (Lamiaceae) and Zygogynum (Winteraceae) on New Caledonia

The New Caledonia archipelago is home to a richly diverse flora including a disproportionate number of lineages whose heritage can be traced to ancient Gondwana. Much of this species richness is owed to the complex geologic history, including an extensive period of submersion, of the region which actively shaped the flora over millennia. Given such complexity there is always unknowns both with regards to the circumscription of such a diverse flora and to understanding aspects of the archipelagos geologic past, which in many cases prove extremely difficult to resolve. This thesis investigates two aspects of this notion using modern day molecular techniques. The first aspect that we investigate is the question of species circumscription with regards to Vitex (Lamiaceae). Here we scrutinize the monophyly of the morphologically variable species Vitex collina, as described by Mabberley (1990), previously suggested by Mabberley to comprise a minimum of three distinct morphotypes. Additionally we consider the genetic uniqueness of a recently discovered species, tentatively named Vitex sp. “unifolia”, from currently accepted New Caledonian Vitex collina s.l. Maximum likelihood (ML) analyses using the internal transcribed spacer (ITS) genetic loci revealed that New Caledonian Vitex collina is paraphyletic with New Zealand V. lucens and Australian V. lignum-vitae nested within a well-supported V. collina s.l. clade. Our results suggest a minimum of two genetically distinct entities within V. collina, though the new species Vitex sp. “unifolia” was not distinguished genetically from Vitex cf. “collina”. The additional morphological analysis in light of our molecular analyses revealed further distinction of taxa within our sample group. This revealed a potential for three separate morphological entities within Vitex collina s.l. specimens, with Vitex sp. “unifolia” representing a fourth. Further research will result in the formal recognition of Vitex sp. “unifolia” upon publication, as well as further delimitation of the distinct entities within V. collina s.l. These revisions will have implications for the conservation status of these revised species, especially with regards to the rare Vitex sp. “unifolia”. The second aspect investigated New Caledonian Winteraceae focussing on two research aims. The first aim scrutinised the New Caledonian Zygogynum s.l. in light of revisions made in Vink (1988; 1993; 2003), where four previously recognised genera (Belliolum, Bubbia, Exospermum, and Zygogynum) were dismantled into a single broadly circumscribed genus. The second aim was to assess any major morphological trends within Zygogynum s.l. and biogeographic patterns within the Winteraceae. Maximum Likelihood and Bayesian analyses using the internal transcribed spacer (ITS) and psbA-trnH genetic loci confirmed the monophyly and position of Takhtajania, Tasmannia, Drimys, and Pseudowintera within the Winteraceae. New Caledonian Zygogynum s.l. was shown to be paraphyletic with Z. schlechteri nested within a distinct Australian Bubbia clade separate from remaining Zygogynum. Our analyses showed no support for the distinction of species previously belonging to Belliolum and Exospermum with all remaining Zygogynum forming a monophyletic clade. The monophyly of species within the Zygogynum were for the most part resolved, with only few species left unresolved or paraphyletic relationships. Further investigation of biogeography within the Winteraceae revealed that Zealandic Winteraceae share their common ancestor with South American taxa, reflecting the Gondwanic roots of this family, with Australian Bubbia having originated from New Caledonian Zygogynum. From this we suggest, upon further investigation, that the retention of Bubbia within Zygogynum s.l. was supported and should be maintained. Alternately, if Bubbia is maintained as distinct from Zygogynum s.l., Z. schlechteri will be revised to Bubbia schlechteri. Further research including specimens of all described taxa will improve the resolution of our analyses, likely identifying further inconsistences that require revision or attention. Our investigation into morphological trends within the Zygogynum uncovered a trend of carpel evolution, in which a single well supported clade of Zygogynum exhibit fused carpels with all others within the family exhibiting unfused gynoecia. The significance of this is that it is a derived trait recognised as a reoccurring trend within the Angiosperm lineage, though this is the first instance where it has been identified occurring within a single genus