Enumeration of Nash equilibria for two-player games

This paper describes algorithms for finding all Nash equilibria of a two-player game in strategic form. We present two algorithms that extend earlier work. Our presentation is self-contained, and explains the two methods in a unified framework using faces of best-response polyhedra. The first method lrsnash is based on the known vertex enumeration program lrs, for “lexicographic reverse search”. It enumerates the vertices of only one best-response polytope, and the vertices of the complementary faces that correspond to these vertices (if they are not empty) in the other polytope. The second method is a modification of the known EEE algorithm, for “enumeration of extreme equilibria”. We also describe a second, as yet not implemented, variant that is space efficient. We discuss details of implementations of lrsnash and EEE, and report on computational experiments that compare the two algorithms, which show that both have their strengths and weaknesses.     

Ageing, productivity and wages in Austria: sector level evidence

In this paper we analyse the link between the age structure of the labour force and average labour productivity as well as average wage across industrial sectors. While this intermediate economic level has been under-explored up to now, we will argue that it provides valuable insights in several respects. Our analysis is based on a panel data set ranging over 6 years (2002–2007). It covers the sectors of mining, manufacturing and market oriented services in the Austrian economy. Our results exhibit a positive correlation of the share of older employees and productivity, whereas we cannot find any evidence for a significant relationship of the share of younger employees and productivity. Moreover, the estimated age-wage pattern does not hint at an over-payment of older employees.     

Flexibility in Japanese internal labour markets: The introduction of performance-related pay

The introduction of performance-related pay by Japanese firms, a development known as seikashugi, stands out as the most important adjustment in their management of regular employees. This paper discusses this development and analyses its implications for the logic of Japanese employment practices. Previous analyses and developments in other countries suggest that it could imply a breakdown of the internal labour market, a key feature of Japanese employment practices. However, drawing on theories of institutional change and two studies among Japanese firms in 2002 and 2007, this paper argues that implications have been modest in spite of the appearance of convergence. Enabled by its flexibility and a continued support for the practice of lifetime employment, the Japanese internal labour market has assimilated performance-related pay and shaped its own transformation.     

Stochastic and structural fiscal policy in a monetary stationary economy

In the framework of a monetary asset pricing model which is simple enough to generate closed form formulae for equilibrium price functions the interactions between output, fiscal policy, and asset markets is investigated. With money yielding liquidity services in the exchange process real stock prices are negatively correlated with anticipated (stochastic) fiscal policy changes, while the impact of unanticipated (structural) fiscal policy on the stock market depends qualitatively on the ‘business cycle’ of the economy. It is shown that the monetary character of the economy, more precisely the role of money in the exchange process, is critical for the relationship between fiscal policy and real share prices. Moreover, while contingent fiscal policy measures may be successful in stabilizing the real interest rate on money they are incapable of achieving a stable term structure of the real rate on stocks. In contrast, uncontingently higher public expenditures generally promote the volatility of the real rates on financial assets.     

Family allowances as welfare improvements

The present paper studies the equilibria of a simple overlapping generations model of pure exchange in which money is traded. There is a continuum of agents in each generation and population growth is endogenous via voluntary decisions on children. Any monetary steady state has to satisfy the golden rule that the interest rate equals the growth rate. Still such a monetary steady state may be inefficient. If raising children is not excessively profitable, then there exists a transfer scheme, in favor of those who raise children, which improves upon the steady state.     

Voting requirements, concessions, international side payments and the European Monetary Union

This paper addresses the question of criteria for selection of EMU members. We identify two factors in the decision process: (1) The costs and benefits which the individual countries attribute to alternative EMU arrangements (`hard-core', medium-sized, all EU members), and (2) the binding institutional restrictions, i.e., the distribution of votes in the European Council and the minimum vote requirements. Within this framework the EU countries are assigned to different groups according to their degree of convergence. Based on stability concessions and side payments these groups decide on the final EMU composition. We show that minimum vote requirements can lead to a suboptimal size of the EMU and can threaten the feasibility of a multi-speed monetary union.     

Challenges for land system science

While considerable progress has been made in understanding land use change, land system science continues to face a number of grand challenges. This paper discusses these challenges with a focus on empirical land system studies, land system modelling and the analysis of future visions of land system change. Contemporary landscapes are contingent outcomes of past and present patterns, processes and decisions. Thus, empirical analysis of past and present land-use change has an important role in providing insights into the socio-economic and ecological processes that shape land use transitions. This is especially important with respect to gradual versus rapid land system dynamics and in understanding changes in land use intensity. Combining the strengths of empirical analysis with multi-scale modelling will lead to new insights into the processes driving land system change. New modelling methods that combine complex systems thinking at a local level with macro-level economic analysis of the land system would reconcile the multi-scale dynamics currently encapsulated in bottom-up and top-down modelling approaches. Developments in land use futures analysis could focus on integrating explorative scenarios that reflect possible outcomes with normative visions that identify desired outcomes. Such an approach would benefit from the broad and in-depth involvement of stakeholders in order to link scientific findings to political and societal decision-making culminating in a set of key choices and consequences. Land system models have an important role in supporting future land use policy, but model outputs require scientific interpretation rather than being presented as predictions. The future of land system science is strongly dependent on the research community's capacity to bring together the elements of research discussed in the paper, via empirical data collection and analysis of observed processes, computer simulation across scale levels and futures analysis of alternative, normative visions through stakeholder engagement.     

Budgetary-Neutral Fiscal Policy Rules and External Adjustment

Large external imbalances and fragile fiscal positions have emerged as major policy challenges for the euro area in the financial crisis. The paper analyses whether shifting government purchases between tradable and non-tradable goods could help reduce external fluctuations without large swings in the overall fiscal stance. The policy rules considered are budgetary-neutral in the sense that the overall level of government expenditure is kept constant. We compare the policy rules to fiscal devaluation as a strategy to reduce external imbalances and find that state-dependent changes in the composition of government purchases between tradables and non-tradables can stabilise excessive fluctuations in the event of economy-wide supply and demand shocks. Contrary to fiscal devaluation, the expenditure-shifting rule faces a trade-off between stabilising domestic activity and enhancing household welfare, on the one hand, and reducing excessive fluctuations in external positions, on the other hand. The excess volatility of domestic variables associated less volatility in the external position implies welfare losses for standard specifications of household utility. The adverse welfare effect is absent in the case of fiscal devaluation.