title: Adversarial risk analysis for first-price sealed-bid auctions

authors: Ejaz, Muhammad

subjects: Adversarial risk analysis

abstract: First-price sealed-bid (FPSB) auctions have mostly been modelled in auction theory using the decision-theoretic and Bayesian game-theoretic approaches. From a practical point of view, each approach has its limitations. To overcome those limitations, Rios Insua et al. (2009) introduced an approach, called adversarial risk analysis (ARA) that provides an optimal solution for one of the intervening agents, based on a decision making problem in hand and treating the intelligent adversaries' decisions as uncertainties. ARA solutions for FPSB auctions have previously been found but only under strong assumptions which make the model somewhat unrealistic.
In this thesis, we use ARA methodology and model bidders' behaviours in FPSB auctions using more realistic assumptions. First, we model bidders' behaviours by defining a new utility function that considers bidders' wealth which is assumed to be different for each bidder. We consider bidders' wealth since it is a significant determinant of their bidding behaviour in these auctions. Also, we define new risk behaviour parameters that change with the relative change in circumstances of bidders' wealth. In our modelling, we assume that the auctioned item is normal and has a reserve price which is known in advance to each bidder. We find ARA solutions not only for risk-neutral but also for risk-averse as well as risk-seeking bidders. We model these auctions by ARA framework using non-strategic play, level-k thinking, mirror equilibrium (ME) and Bayes Nash equilibrium (BNE) solution concepts. Finding ARA solutions using non-strategic play and level-k thinking, ME and BNE (asymmetric case) solution concepts, we assume two bidders. Whereas, we assume n bidders while finding ARA solutions using BNE symmetric case.
Second, we use ARA methodology and model bidders' behaviours using the utility function that takes into account bidders' winning and losing regret for the auctioned item. We define new winning and losing regret parameters and a modified utility function in order to take into account the effect of bidders' wealth on their bidding behaviours. Using the modified utility function, we find ARA solutions using non-strategic play and level-k thinking solution concepts assuming n bidders participating in these auctions. 
We give numerical examples to illustrate our methodology.

text: Adversarial risk analysis for first-price sealed-bid auctions First-price sealed-bid (FPSB) auctions have mostly been modelled in auction theory using the decision-theoretic and Bayesian game-theoretic approaches. From a practical point of view, each approach has its limitations. To overcome those limitations, Rios Insua et al. (2009) introduced an approach, called adversarial risk analysis (ARA) that provides an optimal solution for one of the intervening agents, based on a decision making problem in hand and treating the intelligent adversaries' decisions as uncertainties. ARA solutions for FPSB auctions have previously been found but only under strong assumptions which make the model somewhat unrealistic.
In this thesis, we use ARA methodology and model bidders' behaviours in FPSB auctions using more realistic assumptions. First, we model bidders' behaviours by defining a new utility function that considers bidders' wealth which is assumed to be different for each bidder. We consider bidders' wealth since it is a significant determinant of their bidding behaviour in these auctions. Also, we define new risk behaviour parameters that change with the relative change in circumstances of bidders' wealth. In our modelling, we assume that the auctioned item is normal and has a reserve price which is known in advance to each bidder. We find ARA solutions not only for risk-neutral but also for risk-averse as well as risk-seeking bidders. We model these auctions by ARA framework using non-strategic play, level-k thinking, mirror equilibrium (ME) and Bayes Nash equilibrium (BNE) solution concepts. Finding ARA solutions using non-strategic play and level-k thinking, ME and BNE (asymmetric case) solution concepts, we assume two bidders. Whereas, we assume n bidders while finding ARA solutions using BNE symmetric case.
Second, we use ARA methodology and model bidders' behaviours using the utility function that takes into account bidders' winning and losing regret for the auctioned item. We define new winning and losing regret parameters and a modified utility function in order to take into account the effect of bidders' wealth on their bidding behaviours. Using the modified utility function, we find ARA solutions using non-strategic play and level-k thinking solution concepts assuming n bidders participating in these auctions. 
We give numerical examples to illustrate our methodology.

year: 2021

title: Allozyme and mitochondrial DNA variability within the New Zealand damselfly genera Xanthocnemis, Austrolestes, and Ischnura (Odonata)

authors: Nolan, Liam

subjects: allozymes

abstract: We collected larval damselflies from 17 sites in the North, South and Chatham Islands, and tested the hypotheses that: (1) genetic markers (e.g., allozymes, mtDNA) would successfully ¬discriminate taxa; and (2) the dispersal capabilities of adult damselflies would limit differentiation among locations. Four species from three genera were identified based on available taxonomic keys. Using 11 allozyme loci and the mitochondrial cytochrome c-oxidase subunit I (COI) gene, we confirmed that all taxa were clearly discernible. We found evidence for low to moderate differentiation among locations based on allozyme (mean FST = 0.09) and sequence (COI) divergence (<0.034). No obvious patterns with respect to geographic location were detected, although slight differences were found between New Zealand’s main islands (North Island, South Island) and the Chatham Islands for A. colensonis (sequence divergence 0.030–0.034). We also found limited intraspecific genetic variability based on allozyme data (Hexp < 0.06 in all cases). We conclude that levels of gene flow/dispersal on the main islands may have been sufficient to maintain the observed homogeneous population structure, and that genetic techniques, particularly the COI gene locus, will be a useful aid in future identifications.

text: Allozyme and mitochondrial DNA variability within the New Zealand damselfly genera Xanthocnemis, Austrolestes, and Ischnura (Odonata) We collected larval damselflies from 17 sites in the North, South and Chatham Islands, and tested the hypotheses that: (1) genetic markers (e.g., allozymes, mtDNA) would successfully ¬discriminate taxa; and (2) the dispersal capabilities of adult damselflies would limit differentiation among locations. Four species from three genera were identified based on available taxonomic keys. Using 11 allozyme loci and the mitochondrial cytochrome c-oxidase subunit I (COI) gene, we confirmed that all taxa were clearly discernible. We found evidence for low to moderate differentiation among locations based on allozyme (mean FST = 0.09) and sequence (COI) divergence (<0.034). No obvious patterns with respect to geographic location were detected, although slight differences were found between New Zealand’s main islands (North Island, South Island) and the Chatham Islands for A. colensonis (sequence divergence 0.030–0.034). We also found limited intraspecific genetic variability based on allozyme data (Hexp < 0.06 in all cases). We conclude that levels of gene flow/dispersal on the main islands may have been sufficient to maintain the observed homogeneous population structure, and that genetic techniques, particularly the COI gene locus, will be a useful aid in future identifications.

year: 2007

title: RE-AUTHORISING BICULTURAL EXPERIENCES: Listening to previously silenced voices

authors: Stubbings, Mary Ann

subjects: Education

abstract: "Nothing strengthens authority so much as silence."
Leonardo de Vinci

The principles of the Doctrine of Discovery, conceived 500 years ago, advocated absolute power and authority for European invaders to conquer and claim indigenous land. This shaped the converging of Māori/Settler relationships and validated the colonisation of Aotearoa New Zealand. 

This thesis contends that the historic and taken for granted power and privilege that has benefitted Pākehā, transpired through a reimagined, fabricated version of our separate and combined past. The study unearths ingrained Pākehā perspectives and stereotypes about Māori, and a rejection of their disparate culture and identity. It highlights the role of schooling in Aotearoa New Zealand as a tool of colonisation to erase the culture and identity of Māori and to maintain a world view that authorised power and privilege for the Settlers. 

The study challenges Pākehā to 'step up' by shattering the sphere of silence around our combined historical narratives. It urges us [Pākehā] to develop critical consciousness so we may reflect on the world, and our position within it.

Inherent in this research is the premise that for Aotearoa, New Zealand to devise a future based on respectful and equitable sharing of social, financial, cultural, spiritual, and physical resources and opportunities, our silenced history, authorised by the State through the procedures of colonisation, must be acknowledged.

text: RE-AUTHORISING BICULTURAL EXPERIENCES: Listening to previously silenced voices "Nothing strengthens authority so much as silence."
Leonardo de Vinci

The principles of the Doctrine of Discovery, conceived 500 years ago, advocated absolute power and authority for European invaders to conquer and claim indigenous land. This shaped the converging of Māori/Settler relationships and validated the colonisation of Aotearoa New Zealand. 

This thesis contends that the historic and taken for granted power and privilege that has benefitted Pākehā, transpired through a reimagined, fabricated version of our separate and combined past. The study unearths ingrained Pākehā perspectives and stereotypes about Māori, and a rejection of their disparate culture and identity. It highlights the role of schooling in Aotearoa New Zealand as a tool of colonisation to erase the culture and identity of Māori and to maintain a world view that authorised power and privilege for the Settlers. 

The study challenges Pākehā to 'step up' by shattering the sphere of silence around our combined historical narratives. It urges us [Pākehā] to develop critical consciousness so we may reflect on the world, and our position within it.

Inherent in this research is the premise that for Aotearoa, New Zealand to devise a future based on respectful and equitable sharing of social, financial, cultural, spiritual, and physical resources and opportunities, our silenced history, authorised by the State through the procedures of colonisation, must be acknowledged.

year: 2023