No-Holdback allocation rules for continuous-time assemble-to-order systems

This paper analyzes a class of common-component allocation rules, termed no-holdback (NHB) rules, in continuous-review assemble-to-order (ATO) systems with positive lead times. The inventory of each component is replenished following an independent base-stock policy. In contrast to the usually assumed first-come-first-served (FCFS) component allocation rule in the literature, an NHB rule allocates a component to a product demand only if it will yield immediate fulfillment of that demand. We identify metrics as well as cost and product structures under which NHB rules outperform all other component allocation rules. For systems with certain product structures, we obtain key performance expressions and compare them to those under FCFS. For general product structures, we present performance bounds and approximations. Finally, we discuss the applicability of these results to more general ATO systems. © 2010 INFORMS.

Allocation rules on networks

When allocating a resource, geographical and infrastructural constraints have to be taken into account. We study the problem of distributing a resource through a network from sources endowed with the resource to citizens with claims. A link between a source and an agent depicts the possibility of a transfer from the source to the agent. Given the supplies at each source, the claims of citizens, and the network, the question is how to allocate the available resources among the citizens. We consider a simple allocation problem that is free of network constraints, where the total amount can be freely distributed. The simple allocation problem is a claims problem where the total amount of claims is greater than what is available. We focus on consistent and resource monotonic rules in claims problems that satisfy equal treatment of equals. We call these rules fairness principles and we extend fairness principles to allocation rules on networks. We require that for each pair of citizens in the network, the extension is robust with respect to the fairness principle. We call this condition pairwise robustness with respect to the fairness principle. We provide an algorithm and show that each fairness principle has a unique extension which is pairwise robust with respect to the fairness principle. We give applications of the algorithm for three fairness principles: egalitarianism, proportionality and equal sacrifice.

Portfolio size effect in retirement accounts : what does it imply for lifecycle asset allocation funds?

Lifecycle funds offered by retirement plan providers allocate aggressively to risky asset classes when the employee participants are young, gradually switching to more conservative asset classes as they grow older and approach retirement. This approach focuses on maximizing growth of the accumulation fund in the initial years and preserving its value in the later years. The authors simulate terminal wealth outcomes based on conventional lifecycle asset allocation rules as well as on contrarian strategies that reverse the direction of asset switching. The evidence suggests that the growth in portfolio size over time significantly impacts the asset allocation decision. Due to the portfolio size effect that is observed by the authors, the terminal value of accumulation in retirement accounts is influenced more by the asset allocation strategy adopted in later years relative to that adopted in early years. By mechanistically switching to conservative assets in the later years of a plan, lifecycle strategies sacrifice significant growth opportunity and prove counterproductive to the participant's wealth accumulation objective. The authors' conclude that this sacrifice does not seem to be compensated adequately in terms of reducing the risk of potentially adverse outcomes.

Gittins indices and constrained allocation in clinical trials

We explore the use of Gittins indices to search for near optimality in sequential clinical trials. Some adaptive allocation rules are proposed to achieve the following two objectives as far as possible: (i) to reduce the expected successes lost, (ii) to minimize the error probability at the end. Simulation results indicate the merits of the rules based on Gittins indices for small trial sizes. The rules are generalized to the case when neither of the response densities is known. Asymptotic optimality is derived for the constrained rules. A simple allocation rule is recommended for one-stage models. The simulation results indicate that it works better than both equal allocation and Bather's randomized allocation. We conclude with a discussion of possible further developments.

Expected Fair Allocation in Farsighted Network Formation

I consider cooperation situations where players have network relations. Networks evolve according to a stationary transition probability matrix and at each moment in time players receive payoffs from a stationary allocation rule. Players discount the future by a common factor. The pair formed by an allocation rule and a transition probability matrix is called expected fair if for every link in the network both participants gain, marginally, and in discounted, expected terms, the same from it; and it is called a pairwise network formation procedure if the probability that a link is created (or eliminated) is positive if the discounted, expected gains to its two participants are positive too. The main result is the existence, for the discount factor small enough, of an expected fair and pairwise network formation procedure where the allocation rule is component balanced, meaning it distributes the total value of any maximal connected subnetwork among its participants. This existence result holds for all discount factors when the pairwise network formation procedure is restricted. I finally provide some comparison with previous models of farsighted network formation.

Interjurisdictional allocation of multinational banking income : aligning taxation principles with economic activity

This thesis argues that one type of multinational entity – the multinational bank – poses particularly significant challenges to the international tax regime in terms of its current profit allocation rules. Multinational banks are a unique subset of multinational entities, and as a consequence of their unique traits, the traditional international tax regime foes not yield an optimal interjurisdictional allocation of taxing rights. The opportunity for tax minimisation, achievable because of the unique traits, and realised through exploitation of the traditional source and transfer pricing regime, results in a jurisdictional distribution of taxing rights which does not reflect economic reality. There are two distinct ways in which the traditional international tax regime fails to reflect economic activity. The first way that economic activity may not be reflected in the distribution of the taxing rights to income from multinational banking is through the application of traditional source rules. The traditional sources rules allocate income where transactions are completed rather than where the intermediation services are arranged. As a result of their unique commercial role as financial intermediaries, by separating intermediary economic activity from legal transactions with third parties, multinational banks may distort the true location of the activity giving rise to income. The second way in which the traditional tax regime may fail to reflect economic activity is through the traditional transfer pricing regime requiring related or internal transaction to be undertaken at an arm’s length price. The arm’s length pricing requirement is theoretically deficient in its failure to recognise the highly integrated nature of multinational banking. In practice, the arm’s length pricing requirement is also difficult, if not impossible, to apply to multinational banks because of the requirement of comparability. The difficulties associated with the current model have resulted in a subtle move by multinational banks towards global formulary apportionment. This thesis concludes that, for the international taxation of multinational banks, the current source regime should be replaced with a system that allocates profits for tax purposes on the basis of income source, with source determined using a unitary taxation or global formulary apportionment system. It is argued that global formulary apportionment is a theoretically superior model that provides both jurisdiction to tax and allocated profits on the basis of the economic activity that generates the income.

Centralized allocation in multiple markets

We study the problem of centralized allocation of indivisible objects in multiple markets. We show that the set of allocation rules that are group strategy-proof and Pareto-efficient are sequential dictatorships. Therefore, the solution of the joint al-location in multiple markets is significantly narrower than in the single-market case. Our result also applies to dynamic allocation problems. Finally, we provide conditions under which the solution of the single-market allocation coincides with the multiple-market case, and we apply this result to the study of the school choice problem with sibling priorities.

Prices, property and markets in water allocation

Includes bibliography

Optimal water allocation in shortage situations as applied to an irrigation community.

This work studies the most beneficial way of allocating water in an irrigation community in water shortage situations. Therefore, it proposes that the irrigation surface area be divided into homogeneous zones, each with a beneficial relationship with respect to the water applied. The mathematical formula that enables one to obtain the optimal quota for the users or irrigation community as a whole has been found for individual relations of a quadratic or power type, and these have yielded different and complementary characteristics. Dimensionless variables have been used to display the results, and to compare with other alternative allocation rules such as the proportional rule, referencing the situation without water restrictions. As a result, for each water shortage situation, the water that is allocated to each user is obtained, together with the losses in individual income and the losses for the community as a whole. Furthermore, a proposal is put forth for establishing the marginal benefit from the water available, which could be of interest in enabling each community to analyze whether it is in its best interest to invest in increasing the resource, or to sell the resource to other users. Finally, an example is given to demonstrate how the method works and to show that, when the differences between the production schemes are considered, the differences in benefit reduction between the proportional allocation and the optimal allocation are also sizeable. Read More: http://ascelibrary.org/doi/abs/10.1061/(ASCE)IR.1943-4774.0000667

Tőkeallokáció nem likvid portfóliók esetén (Risk capital allocation in case of illiquid portfolios)

A kockázat jó mérése és elosztása elengedhetetlen a bankok, biztosítók, befektetési alapok és egyéb pénzügyi vállalkozások belső tőkeallokációjához vagy teljesítményértékeléséhez. A cikkben bemutatjuk, hogy a koherens kockázati mértékek axiómáit nem likvid portfóliók esetén is el lehet várni. Így mérve a kockázatot, ismertetünk a kockázatelosztásra vonatkozó két kooperatív játékelméleti cikket. Az első optimista, eszerint mindig létezik stabil, az alegységek minden koalíciója által elfogadható, általános módszer a kockázat (tőke) elosztására. A második cikk pesszimista, mert azt mondja ki, hogy ha a stabilitás mellett igazságosak is szeretnénk lenni, akkor egy lehetetlenségi tételbe ütközünk. / === / Measuring and allocating risk properly are crucial for performance evaluation and internal capital allocation of portfolios held by banks, insurance companies, investment funds and other entities subject to fi nancial risk. We argue that the axioms of coherent measures of risk are valid for illiquid portfolios as well. Then, we present the results of two papers on allocating risk measured by a coherent measure of risk. Assume a bank has some divisions. According to the fi rst paper there is always a stable allocation of risk capital, which is not blocked by any coalition of the divisions, that is there is a core compatible allocation rule (we present some examples for risk allocation rules). The second paper considers two more natural requirements, Equal Treatment Property and Strong Monotonicity. Equal Treatment Property makes sure that similar divisions are treated symmetrically, that is if two divisions make the same marginal risk contribution to all the coalition of divisions not containing them, then the rule should allocate them the very same risk capital. Strong Monotonicity requires that if the risk environment changes in such a way that the marginal contribution of a division is not decreasing, then its allocated risk capital should not decrease either. However, if risk is evaluated by any coherent measure of risk, then there is no risk allocation rule satisfying Core Compatibility, Equal Treatment Property and Strong Monotonicity, we encounter an impossibility result.

A nation’s role in addressing base erosion and profit shifting : balancing sovereignty with international collaboration and coordination

The notion of sovereignty is central to any international tax issue. While a nation is free to design its tax laws as it sees fit and raise revenue in accordance with the needs of its citizens, it is not possible to undertake such a task in isolation. In a world of cross-border investments and business transactions, all tax regimes impact on one another. Tax interactions between sovereign states cannot be avoided. Ultimately, the interactions mean that a nation must decide whether to engage in both collaboration and coordination with other nations and supranational bodies alike or maintain an individualised stance in relation to its tax policy. Whatever the decision, there is arguably an exercise in national sovereignty in some form. In the context of an international tax regime, whether that regime is interpreted broadly as meaning international norms generally adopted by nations around the world or domestic regimes legislating for cross-border transactions, rhetoric around national fiscal sovereignty takes on many different forms. At one end of the spectrum it is relied upon by financial secrecy jurisdictions (tax havens) as a defence to their position on the basis that ‘other’ nations cannot interfere with the fiscal sovereignty of a jurisdiction. At the other end of the spectrum, it is argued that profit shifting and international tax avoidance if not stopped is, in and of itself, a threat to a nation’s fiscal sovereignty on the basis that it threatens the ability to tax and raise the revenue needed. This paper considers a modern conceptualisation of sovereignty along with its role within international tax coordination and collaboration to argue that a move towards a more unified approach to addressing international base erosion and profit shifting may be the ultimate exercise of national fiscal sovereignty. By using the current transfer pricing regime as a case study, this paper posits that it is not merely enough to have international agreement on allocation rules to be applied, but that the ultimate exercise of national sovereignty is political agreement with other states to ensure that it is governments which determine the allocational basis of worldwide profits to be taxed. In doing so, it is demonstrated that the arm’s length pricing requirement of the current transfer pricing regime, rather than providing governments with the ability to determine the location of profits, is providing multinational entities with the ultimate power to determine that location. If left unchecked, this will eventually erode a nation’s ability to capture the required tax revenue and, as a consequence, may be deemed a failure by nation states to exercise their fiscal sovereignty.

Essays on Microcredit in Rural Bangladesh

This thesis is a collection of three essays on Bangladeshi microcredit. One of the essays examines the effect of microcredit on the cost of crime. The other two analyze the functioning mechanism of microcredit programs, i.e. credit allocation rules and credit recovery policy. In Essay 1, the demand for microcredit and its allocation rules is studied. Microcredit is claimed to be the most effective means of supplying credit to the poorest of the poor in rural Bangladesh. This fact has not yet been examined among households who demand microcredit. The results of this essay show that educated households are more likely to demand microcredit and its demand does not differ by sex. The results also show that microcredit programs follow different credit allocation rules for male and female applicants. Education is an essential characteristic for both sexes that credit programs consider in allocating credit. In Essay 2, the focus is to establish a link between microcredit and the incidence of rural crime in Bangladesh. The basic hypothesis is that microcredit programs jointly hold the group responsibility which provides an incentive for group members to protect each other from criminal gang in order to safeguard their own economic interests. The key finding of this essay is that the average cost of crime for non-borrowers is higher than that for borrowers. In particular, 10% increase in the credit reduces the costs of crime by 4.2%. The third essay analyzes the reasons of high repayment rate amid Bangladeshi microcredit programs. The existing literature argues that credit applicants are able to screen out the high risk applicants in the group formulation stage using their superior local information. In addition, due to the joint liability mechanism of the programs, group members monitor each others economic activities to ensure the minimal misuse of credit. The arguments in the literature are based on the assumption that once the credit is provided, credit programs have no further role in ensuring that repayments are honored by the group. In contrast, using survey data this essay documents that credit programs use in addition organizational pressures such as humiliation and harassment the non-payer to recover the unpaid installments. The results also show that the group mechanisms do not have a significant effect in recovering default dues.

Forward-looking Pairwise Stability in Networks with Externalities

We consider cooperation situations where players have network relations. Networks evolve according to a stationary transition probability matrix and at each moment in time players receive payoffs from a stationary allocation rule. Players discount the future by a common factor. The pair formed by an allocation rule and a transition probability matrix is called a forward-looking network formation scheme if, first, the probability that a link is created is positive if the discounted, expected gains to its two participants are positive, and if, second, the probability that a link is eliminated is positive if the discounted, expected gains to at least one of its two participants are positive. The main result is the existence, for all discount factors and all value functions, of a forward-looking network formation scheme. Furthermore, we can always nd a forward-looking network formation scheme such that (i) the allocation rule is component balanced and (ii) the transition probabilities increase in the di erence in payo s for the corresponding players responsible for the transition. We use this dynamic solution concept to explore the tension between e ciency and stability.

Jurisdiction and the Internet: Regulatory Competence over Online Activity

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A solution concept for network games: The role of multilateral interactions

We propose an allocation rule that takes into account the importance of both players and their links and characterize it for a fixed network. Our characterization is along the lines of the characterization of the Position value for Network games by van den Nouweland and Slikker (2012). The allocation rule so defined admits multilateral interactions among the players through their links which distinguishes it from the other existing rules. Next, we extend our allocation rule to flexible networks à la Jackson (2005).