Chebyshev polynomial approximation to approximate partial differential equations

This paper suggests a simple method based on Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. The methodology simply consists in determining the value function by using a set of nodes and basis functions. We provide two examples. Pricing an European option and determining the best policy for chatting down a machinery. The suggested method is flexible, easy to program and efficient. It is also applicable in other fields, providing efficient solutions to complex systems of partial differential equations.

Intra-Group Competition and Inter-Group Conflict: An Application to Northern Ireland

This paper reviews four economic theories of leadership selection in conflictual settings. The first of these by Cukierman and Tomassi (1998) labeled the ‘information rationale’, argues that hawks may actually be necessary to initiate peace agreements. The second labeled the ‘bargaining rationale’ borrowing from Hamlin and Jennings (2007) agrees with the conventional wisdom that doves are more likely to secure peace, but post-conflict there are good reasons for hawks to be rationally selected. The third found in Jennings and Roelfsema (2008) is labeled the social psychological rationale. This captures the idea of a competition over which group can form the strongest identity, so can apply to group choices which do not impinge upon bargaining power. As in the bargaining rationale, dove selection can be predicted during conflict, but hawk selection post-conflict. Finally, the expressive rationale is discussed which predicts that regardless of the underlying structure of the game (informational, bargaining, psychological) the large group nature of decision-making by making individual decision makers non-decisive in determining the outcome of elections may cause them to make choices based primarily on emotions which may be invariant with the mode of group interaction, be it conflictual or peaceful. Finally, the paper analyses the extent to which the theories can throw light on Northern Ireland electoral history over the last 25 years.

The Rebound Effect with Energy Production: A Partial Equilibrium Analysis

Rebound is the extent to which improvements in energy efficiency fail to translate fully into reductions in energy use because of the implicit fall in the price of energy, when measured in efficiency units. This paper discusses aspects of the rebound effect that are introduced once energy is considered as a domestically produced commodity. A partial equilibrium approach is adopted in order to incorporate both energy use and production in a conceptually tractable way. The paper explores analytically two interesting results revealed in previous numerical simulations. The first is the possibility that energy use could fall by more than the implied improvement in efficiency. This corresponds to negative rebound. The second is the finding that the short-run rebound value can be greater than the corresponding long-run value.

Partial Equal Treatment in Wage Offers

We analyse a labour matching model with wage posting, where- refl ecting institutional constraints-fi rms cannot dfferentiate their wage offers within certain subsets of workers. Inter alia, we find that the presence of impersonal wage offers leads to wage compression, which propagates to the wages for high productivity workers who receive personalised offers.

My Group Beats Your Group: Evaluating Non-Income Inequalities

This paper proposes a new methodology, the Domination Index, to evaluate non-income inequalities between social groups such as inequalities of educational attainment, occupational status, health or subjective well-being. The Domination Index does not require specific cardinalisation assumptions, but only uses the ordinal structure of these non-income variables. We approach from an axiomatic perspective and show that a set of desirable properties for a group inequality measure when the variable of interest is ordinal, characterizes the Domination Index up to a positive scalar transformation. Moreover we make use of the Domination Index to explore the relation between inequality and segregation and show how these two concepts are related theoretically.

Income stratification and between-group inequality

The paper demonstrates that the ratio of the Yitzhaki (1994) to the conventional measure of between-group inequality is in general equal to one minus twice the weighted average probability that a random member of a richer (on average) group is poorer than a random member of a poorer (on average) group, and may therefore be interpreted as an index of stratification in its own right.

Partial Knowledge Restrictions on theTwo-Stage Threshold Model of Choice

In the context of the two-stage threshold model of decision making, with the agent’s choices determined by the interaction Of three “structural variables,” we study the restrictions on behavior that arise when one or more variables are xogenously known. Our results supply necessary and sufficient conditions for consistency with the model for all possible states of partial Knowledge, and for both single- and multivalued choice functions.