dynamic price competition with fixed capacities in this paper we study price competition for an oligopoly in a dynamic setting where each of the sellers has a fixed number of units available for sale over a fixed number of periods demand is stochastic and depending on how it evolves sellers may change their prices at any time this reflects the fact that firms constantly and almost costlessly change their prices reacting to updates in their estimates of market demand competitor prices or inventory levels in a setting with demand uncertainty we show that there is a unique subgame perfect equilibrium for a duopoly in which all states sellers engage in bertrand competition and the seller with the lower equilibrium reservation value sells a unit at a price equal to the competitor s equilibrium reservation value this structure therefore extends the marginal value concept of bid price control used in many revenue management implementations to a competitive model we give a closed form solution to the equilibrium price paths for a duopoly and extend all the results to an n firm oligopoly we then study extensions to multiple customer types uncertain valuations and differentiated products this paper was accepted by martin lariviere operations management

optimal dynamic pricing of inventories with stochastic demand over finite horizons in many industries managers face the problem of selling a given stock of items by a deadline we investigate the problem of dynamically pricing such inventories when demand is price sensitive and stochastic and the firm s objective is to maximize expected revenues examples that fit this framework include retailers selling fashion and seasonal goods and the travel and leisure industry which markets space such as seats on airline flights cabins on vacation cruises and rooms in hotels that become worthless if not sold by a specific time we formulate this problem using intensity control and obtain structural monotonicity results for the optimal intensity resp price as a function of the stock level and the length of the horizon for a particular exponential family of demand functions we find the optimal pricing policy in closed form for general demand functions we find an upper bound on the expected revenue based on analyzing the deterministic version of the problem and use this bound to prove that simple fixed price policies are asymptotically optimal as the volume of expected sales tends to infinity finally we extend our results to the case where demand is compound poisson only a finite number of prices is allowed the demand rate is time varying holding costs are incurred and cash flows are discounted the initial stock is a decision variable and reordering overbooking and random cancellations are allowed

dynamic pricing of perishable assets under competition we study dynamic price competition in an oligopolistic market with a mix of substitutable and complementary perishable assets each firm has a fixed initial stock of items and competes in setting prices to sell them over a finite sales horizon customers sequentially arrive at the market make a purchase choice and then leave immediately with some likelihood of no purchase the purchase likelihood depends on the time of purchase product attributes and current prices the demand structure includes time variant linear and multinomial logit demand models as special cases assuming deterministic customer arrival rates we show that any equilibrium strategy has a simple structure involving a finite set of shadow prices measuring capacity externalities that firms exert on each other equilibrium prices can be solved from a one shot price competition game under the current time demand structure taking into account capacity externalities through the time invariant shadow prices the former reflects the transient demand side at every moment and the latter captures the aggregate supply constraints over the sales horizon this simple structure sheds light on dynamic revenue management problems under competition which helps capture the essence of the problems under demand uncertainty we show that the equilibrium solutions from the deterministic game provide precommitted and contingent heuristic policies that are asymptotic equilibria for its stochastic counterpart when demand and supply are sufficiently large this paper was accepted by yossi aviv operations management

order backlogs and strategic pricing the case of the u s large turbine generator industry this paper illustrates the usefulness of game theory for strategic management through theoretical and empirical analysis of price competition in the presence of production backlogs game theoretic analysis predicts a different relationship between relative prices and backlog levels than does analysis that ignores the sorts of interactive considerations emphasized by game theory empirical analysis based on data for the u s market for large turbine generators between 1951 and 1963 corroborates the game theoretic prediction the paper concludes with a discussion of the sorts of situations in which game theoretic reasoning is particularly likely to prove useful 1998 john wiley sons ltd

some empirical evidence on the effects of shocks to monetary policy on exchange rates this paper investigates the effects of shocks to u s monetary policy on exchange rates we consider three measures of these shocks orthogonalized shocks to the federal funds rate orthogonalized shocks to the ratio of nonborrowed to total reserves and changes in the romer and romer index of monetary policy in sharp contrast to the literature we find substantial evidence of a link between monetary policy and exchange rates specifically according to our results a contractionary shock to u s monetary policy leads to i persistent significant appreciations in u s nominal and real exchange rates and ii significant persistent deviations from uncovered interest rate parity in favor of u s interest rates

execution risk in high frequency arbitrage in this paper we investigate the role of execution risk in high frequency trading through arbitrage strategies we show that if rational agents face uncertainty about completing their arbitrage portfolios then arbitrage is limited even in markets with perfect substitutes and convertibility using a simple model we demonstrate that this risk arises from the crowding effect of competing arbitrageurs entering the same trade and inflicting negative externalities on each other our empirical results provide evidence that support the relevance of execution risk in high frequency arbitrage this paper was accepted by wei xiong finance

long run competition in capacity short run competition in price and the cournot model in this article we investigate the nature of equilibrium in markets in which firms choose the scale of operation before they make pricing decisions we analyze a duopoly model in which firms choose their capacities before engaging in bertrand like price competition we demonstrate that the cournot outcome is unlikely to emerge in such markets and that the equilibrium tends to be more competitive than the cournot model would predict in addition our results indicate a tendency toward asymmetric firm sizes and price dispersion that results from the mixed strategies firms use in equilibrium

interest rates and currency prices in a two country world abstract this paper is a theoretical study of the determination of prices interest rates and currency exchange rates set in an infinitely lived two country world which is subject both to stochastic endowment shocks and to monetary instability formulas are obtained for pricing all equity claims nominally denominated bonds and currencies and these formulas are related to earlier closely related results in the theories of money finance international trade

an exploration in the theory of exchange rate regimes three exchange rate regimes a float a one sided peg and a cooperative peg are evaluated and compared in terms of efficiency and welfare levels the framework of analysis embodies country specific monies with the money of each country being used to transact in its commodity markets and its currency denominated bonds welfare levels depend only on consumption levels in the presence of perfect foresight all equilibrium allocations are pareto efficient in a floating exchange rate regime the perfect foresight equilibrium allocation coincides with an equilibrium of a costless barter economy the same result holds in a one sided peg if the pegging country s exchange rate stabilizing authority breaks even over time in a cooperative peg regime there is a different equilibrium allocation for each combination of exchange rate levels and monetary policies problems of policy coordination and conflicts in desired monetary policies are discussed

on the existence of a unique price equilibrium for models of product differentiation abstract we prove the existence of a unique price equilibrium for models of product differentiation these models are characterized by demand functions that depend on differences in prices and have log increasing differences in own price and other prices which implies that best response correspondences are increasing many discrete choice models satisfy these conditions including logit models and nested logit models and the existence theorem can be applied directly with the logarithmic transformation the existence theorem can be extended to models with homogeneous demand functions which characterizes representative consumer models

a class of poverty indices a review of a number of well known poverty indices shows that two axiomatic requirements to a pover ty index are never satisfied simultaneously the choice between these two axioms depends on the nature of the poverty line a class of pov erty indices is developed as an application of the dalton and atkinso n inequality to poverty measurement almost all other poverty indices are seen to be a member of the class the formulation of this class clarifies the basic problems involved in poverty measurement copyright 1987 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

dynamic pricing in the presence of strategic consumers and oligopolistic competition we present a dynamic pricing model for oligopolistic firms selling differentiated perishable goods to multiple finite segments of strategic consumers who are aware that pricing is dynamic and may time their purchases accordingly this model encompasses strategic behavior by both firms and consumers in a unified stochastic dynamic game in which each firm s objective is to maximize its total expected revenues and each consumer responds according to a shopping intensity allocation consumer choice model we prove the existence of a unique subgame perfect equilibrium provide equilibrium optimality conditions and prove monotonicity results for special cases the model provides insights about equilibrium price dynamics under different levels of competition asymmetry between firms and multiple market segments with varying properties we demonstrate that strategic behavior by consumers can have serious impacts on revenues if firms ignore that behavior in their dynamic pricing policies moreover ideal equilibrium responses to consumer strategic behavior can recover only a portion of the lost revenues a key conclusion is that firms may benefit more from limiting the information available to consumers than from allowing full information and responding to the resulting strategic behavior in an optimal fashion

international trade and exchange rate volatility for currencies with well developed forward markets several papers have investigated the conjectured negative relationship between trade and short term exchange rate volatility without being very successful a theoretical explanation for the empirical anomalies is provided by solving explicitly for the forward rate because importers and exporters are on opposite sides of the forward market so is their exposure towards exchange rate volatility moreover which trade flow benefits and which one loses from increased volatility is determined by the signs of the aggregate net foreign currency exposure and the aggregate measure of risk aversion

pricing strategies in a dynamic duopoly a differential game model we formulate a differential game model for dynamic pricing in a duopolistic market firms demand functions are derived from utility maximizing behavior of consumers with the demand for a brand given by the logit model preferences for brands are assumed to evolve over time in the market in a manner akin to learning models postulated in the marketing literature we derive the differential equations governing the equilibrium open loop price paths over time and show that in steady state the brand with the higher preference level charges the higher price the formulation is extended to include the effects of consumer heterogeneity and equilibrium steady state prices are compared with those obtained when heterogeneity is ignored a comparison of steady state dynamic prices with myopic prices is provided an empirical example is discussed to show how steady state model predictions may be obtained from actual longitudinal purchase data

the effects of real exchange rate risk on international trade abstract by assuming real profit maximization and uncertain prices as well as exchange rates we conclude that it is uncertain percentage changes in the real exchange rate that are risky in international trade empirical estimation of fourteen bilateral trade flows among industrialized countries finds a significant negative effect on trade quantity from such risk in a number of these cases the expectation variable has a positive effect in a larger number of cases significant price effects from the expectation variable are fewer and from risk are negligible

dynamic pricing competition with strategic customers under vertical product differentiation we consider dynamic pricing competition between two firms offering vertically differentiated products to strategic customers who are intertemporal utility maximizers we show that price skimming arises as the unique pure strategy markov perfect equilibrium in the game under a simple condition our results highlight the asymmetric effect of strategic customer behavior on quality differentiated firms even though the profit of either firm decreases as customers become more strategic the low quality firm suffers substantially more than the high quality firm furthermore we show that unilateral commitment to static pricing by either firm generally improves profits of both firms interestingly both firms enjoy higher profit lifts when the high quality firm commits rather than when the low quality firm commits this paper was accepted by yossi aviv operations management

price competition in a capacity constrained duopoly abstract this paper characterizes the set of nash equilibria in a model of price setting duopoly in which each firm has limited capacity and demand is continuous and decreasing in general there is a unique equilibrium so that comparative static exercises are meaningful the properties of the equilibrium conform with a number of stylized facts the equilibrium prices are lower the smaller is demand relative to capacity when demand is in an intermediate range the firms use mixed strategies they randomly hold sales if capacities are chosen simultaneously before prices the set of equilibrium capacities coincides with the set of cournot quantities

catastrophic medical expenditure risk we propose a measure of household exposure to particularly onerous medical expenses the measure can be decomposed into the probability that medical expenditure exceeds a threshold the loss due to predictably low consumption of other goods if it does and the further loss arising from the volatility of medical expenses above the threshold depending on the choice of threshold the measure is consistent with a model of reference dependent utility with loss aversion unlike the risk premium the measure is only sensitive to particularly high expenses and can identify households that expect to incur such expenses and would benefit from subsidised but not actuarially fair insurance an empirical illustration using data from seven asian countries demonstrates the importance of taking account of informal insurance and reveals clear differences in catastrophic medical expenditure risk across and within countries in general risk is higher among poorer rural and chronically ill populations

welfare and macroeconomic interdependence we develop a baseline model of monetary and fiscal transmission in interdependent economies the welfare effects of expansionary policies are related to monopolistic supply in production and monopoly power of a country in trade an unanticipated exchange rate depreciation can be beggar thyself rather than beggar thy neighbor as gains in domestic output are offset by deteriorating terms of trade smaller and more open economies are more prone to suffer from inflationary shocks larger economies benefit from moderate demand led expansions but may be worse off if policy makers attempt to close the output gap fiscal shocks are generally beggar thy neighbor in the long run in the short run they raise domestic demand at given terms of trade thus reducing the welfare benefits from monetary expansions analytical tractability makes our model uniquely suitable as a starting point to approach the recent new open economy macroeconomic literature

exchange rate regimes and international trade evidence from the classical gold standard era in this paper we show that the spread of the classical gold standard in the late nineteenth century increased international trade flows this positive effect was compounded whenever a group of countries formed a monetary union applying the gravity model of trade to more than 1 100 country pairs during the 1870 1910 period we find that two countries on gold would trade 60 percent more with each other than with countries on a different monetary standard moreover a monetary union would more than double bilateral trade flows our findings are relevant for current discussions on alternative monetary arrangements for the twenty first century

can mergers increase output evidence from the lodging industry we find that hotel mergers increase occupancy in some specifications price also rises because these effects occur only in markets with high capacity utilization and high uncertainty we reject simple models of price or quantity competition in favor of models of revenue management where firms price to fill available capacity in the face of uncertain demand

the existence of equilibrium in discontinuous economic games i theory the article presents information about the existence of equilibrium in discontinuous economic games in this paper and its sequel presents study the existence of nash equilibrium in games where agents payoff functions are discontinuous the enquiry is motivated by a number of recent studies that have uncovered serious existence problems in seemingly innocuous economic games in the sequel to this paper authors have explained the utility function in the economic games referred to earlier are neither continuous nor quasi concave however they demonstrate that the payoff functions in mildly modified versions of these constructs exhibit two weaker forms of continuity which together with the requirement of quasi concavity suffice for the existence of an equilibrium from this one may conclude that at least in the modified versions of these models discontinuities in the payoff functions are not the real source of the problem rather it is the failure of the payoff functions to the quasi concave which is responsible for the non existence of equilibrium these observations bear on the existence of nash equilibrium in pure strategies

chronic and transient poverty measurement and estimation with evidence from china abstract the paper contributes to the measurement of poverty and vulnerability in three ways first it proposes a new approach to separating poverty into chronic and transient components second it provides corrections for the statistical biases introduced when using a small number of periods to estimate the importance of vulnerability and transient poverty third it applies these tools to the measurement of chronic and transient poverty in china using a rich panel data set that extends over 17 years alternative measurement techniques are found to yield significantly different estimates of the relative importance of chronic and transient poverty the precision of the estimates is also considerably enhanced by simple statistical corrections

the definition and measurement of poverty both poverty research and social policy employ a variety of poverty definitions the choice of one specific definition has major consequences for the resulting poverty population this paper uses eight different definitions of poverty to determine who is poor using a 1983 dutch sample of more than 12 000 households poverty according to each of these definitions is compared over different subgroups the relevance of the choice between definitions for social policy is shown by the presentation of poverty percentages according to the various definitions which vary widely

exchange rates and traded goods prices abstract this paper presents a partial equilibrium model of the determination of domestic and export prices by a monopolistic competitive firm the model stresses the role of exchange rate uncertainty and expectations the most important result of the analysis is that the stochastic properties of deviations from the law of one price are crucially affected by the currency of denomination of export prices using data on domestic and dollar export prices of japanese goods i find that deviations from the law of one price are due to exchange rate surprises but also to price staggering and ex ante price discrimination

consumption real exchange rates and the structure of international asset markets abstract international real business cycle irbc models that assume complete asset markets yield strong restrictions for consumption and bilateral real exchange rate series empirical tests with data for the us japan france uk italy canada and sweden suggest that neither the trend behavior nor high frequency movements of consumption and real exchange rates are well explained by irbc models with complete markets it appears however that high frequency fluctuations of consumption and real exchange rates are consistent with unrestricted international trade in risk free bonds

an axiomatic characterization of the watts poverty index abstract although the first distribution sensitive decomposable poverty index the watts index has long been neglected by the profession even when it was searching for a decomposable index this neglect is due partly to the lack of an axiomatic characterization for the watts index this paper adopts an axiomatic approach and complements the watts index with such a characterization under a set of reasonable axioms the watts index is the unique index if a poverty index is perceived as the absolute amount of social welfare loss due to poverty the watts index is relatively easy to apply it also satisfies all basic axioms for a good poverty index

measuring the intensity of poverty among subpopulations applications to the united states this paper proposes an approach to measuring the intensity of poverty within a group relative to that of the population to which the group belongs a poverty intensity index is presented which is easy to interpret and satisfies a number of desirable properties the intensity of poverty among racial and residential groups in various geographical locations is measured using 1980 united states census data

discontinuous losses from poverty generalized pα measures and optimal transfers to the poor abstract this paper examines the distributional properties of poverty measures which are discontinuous at the poverty line it is shown that among all the additive poverty measures only those measures with some discontinuous jump at the poverty line are such that it is optimal to allocate a given antipoverty budget either to the richest of the poor or to the poorest of the poor or to both a special class of such poverty measures is an extension of the well known p the properties of which are investigated

does exchange rate stability increase trade and welfare we develop a simple general equilibrium framework to study the effect of the exchange rate system on trade and welfare an important feature of the model is deviations from purchasing power parity caused by rigid price setting in buyers currency we find the following first exchange rate stability is not necessarily associated with more trade in a simple benchmark model with separable preferences and only monetary shocks trade is unaffected by the exchange rate system consistent with most evidence second both trade and welfare can be higher under either exchange rate system depending on preferences and on the monetary policy rules followed under each system finally in general there is no one to one relationship between the levels of trade and welfare across exchange rate systems

repeated auctions with budgets in ad exchanges approximations and design ad exchanges are emerging internet markets where advertisers may purchase display ad placements in real time and based on specific viewer information directly from publishers via a simple auction mechanism advertisers join these markets with a prespecified budget and participate in multiple second price auctions over the length of a campaign this paper studies the competitive landscape that arises in ad exchanges and the implications for publishers decisions the presence of budgets introduces dynamic interactions among advertisers that need to be taken into account when attempting to characterize the bidding landscape or the impact of changes in the auction design to this end we introduce the notion of a fluid mean field equilibrium fmfe that is behaviorally appealing and computationally tractable and in some important cases it yields a closed form characterization we establish that an fmfe approximates well the rational behavior of advertisers in these markets we then show how this framework may be used to provide sharp prescriptions for key auction design decisions that publishers face in these markets in particular we show that ignoring budgets a common practice in this literature can result in significant profit losses for the publisher when setting the reserve price this paper was accepted by dimitris bertsimas optimization

equity regarding poverty measures differences in needs and the role of equivalence scales the paper investigates the definition of equity regarding poverty measures when there are different household types in the population it demonstrates the implications of a between type regressive transfer principle for poverty measures for the choice of poverty lines and for the measurement of living standard the role of equivalence scales which are popular in empirical work on poverty measurement is clarified ce memoire examine la definition de mesures de pauvrete fondees sur l equite quand existent differents types de menages dans la population on montre les implications d un principe de transfert regressif entre types de menages pour les mesures de pauvrete pour la definition des seuils de pauvrete et pour la mesure du niveau de vie on clarifie le role des echelles d equivalence qui sont d un usage generalise dans les travaux sur la mesure de la pauvrete

nominal rigidity and monetary uncertainty in a small open economy temporary nominal rigidity is introduced into a dynamic stochastic general equilibrium model of a small open economy the foreign country is also modelled and is the closed economy counterpart of the domestic country we examine whether a small open economy is more vulnerable than a closed economy to uncertainty over its monetary policy a signal of an increase in future variability which was not previously foreseen as a risk by agents is shown to weaken the current exchange rate and boost current output in the small open economy in the equivalent closed economy it has no effect on current variables

excess capacity monopolistic competition and international transmission of monetary disturbances analyzes the excess capacity monopolistic competition and international transmission of monetary policy disturbances in the united states sheds light on the international impact of monetary policy emphasis on the spillover effects of monetary disturbances similarity of framework used with open economy macroeconomics

dynamic oligopoly pricing evidence from the airline industry we explore how pricing dynamics in the european airline industry vary with the competitive environment our results highlight substantial variations in pricing dynamics that are consistent with a theory of intertemporal price discrimination first the rate at which prices increase towards the scheduled travel date is decreasing in competition supporting the idea that competition restrains the ability of airlines to price discriminate second the sensitivity to competition is substantially increasing in the heterogeneity of the customer base reecting further that restraints on price discrimination are only relevant if there is initial scope for price discrimination these patterns are quantitatively important explaining about 83 percent of the total within ight price dispersion and explaining 17 percent of the observed cross market variation of pricing dynamics

aggregate poverty measures the way poverty is measured is important for an understanding of what has happened to poverty as well as for anti poverty policy evaluation sen s 1976 pathfinding work has motivated many researchers to focus on the way poverty should be measured a poverty measure argued by sen should satisfy certain properties or axioms and the desirability of a poverty measure should be evaluated by these axioms during the last two decades many researchers have adopted the axiomatic approach pioneered by sen to propose additional axioms and develop alternative poverty measures the objective of this survey is to provide a clarification on the extensive literature of aggregate poverty measures in this survey we first examine the desirability of each axiom the properties of each poverty measure and the interrelationships among axioms the desirability of an axiom cannot be evaluated in isolation and some combination of axioms may make it impossible to devise a satisfactory poverty measure some axioms can be implied by other axioms combined and so are not independent some others are ad hoc and are disqualified as axioms for poverty measurement based on the interactions among axioms we identify the core axioms which together have a strong implication on the functional form of a poverty measure we then review poverty measures that have appeared in the literature evaluating the interrelationships among different measures and examining the properties of each measure the axioms each measure satisfies violates are also summarized in a tabular form several good poverty measures which have not been documented by previous surveys are also included

the monetary model of the exchange rate long run relationships short run dynamics and how to beat a random walk abstract the monetary model is re examined for the sterling dollar exchange rate first it is demonstrated using a multivariate cointegration technique that an unrestricted monetary model is a valid framework for analyzing the long run exchange rate second we find once proper account has been taken of the short run data dynamics that an unrestricted monetary model outperforms the random walk and other models in an out of sample forecasting contest jel f31

equity and policy effectiveness with imperfect targeting abstract we propose a general approach that jointly integrates horizontal and vertical equity criteria in the assessment of poverty alleviation programs with the strength of each criterion being captured through its own inequity aversion parameter this contrasts with the assessment of poverty alleviation programs done with simple under coverage and leakage ratios or with other methods that do not take into account the heterogeneity of the poor and that do not address directly the social benefits of achieving normative criteria our methodology is illustrated using tunisian data and two alternative poverty alleviation policies we find inter alia that the social ranking of commodity and socio demographic targeting in tunisia depends on the policymaker s comparative preference for vertical and horizontal equity

bertrand edgeworth oligopoly in large markets the relation between perfectly competitive and monopolistically competitive equilibria is analysed for a bertrand edgeworth model of a single market in which capacity constrained firms choose prices as strategies the market always has a nash equilibrium in pure or mixed strategies as the number of firms increases the corresponding equilibria converge in distribution to a perfectly competitive price this result provides a justification for perfect competition that is based on an explicit account of price formation however monopoly prices persist with a positive but vanishing probability regularity or well defined inverse demand functions are not required

dynamic price competition with discrete customer choices abstract for many years dynamic pricing has proven to be an effective tool to increase revenue in the airline and other service industries most studies however focused on monopolistic models and ignored the fact that nowadays consumers can easily compare prices on the internet in this paper we develop a game theoretic model to describe real time dynamic price competition between firms that sell substitutable products by assuming the real time inventory levels of all firms are public information we show the existence of nash equilibrium we then discuss how a firm can adapt if it knows only the initial but not the real time inventory levels of its competitors we compare a firm s expected revenue under different information structures through numerical experiments

a positive theory of foreign currency debt abstract this paper makes a case for foreign currency debt as a hedging device in an open economy subject to stochastic shocks to output a government can reduce uncertainty in wealth and in consumption by issuing foreign or domestic currency debt if unexpected domestic and foreign inflation are negatively correlated with domestic output foreign currency debt is desirable in comparison to domestic currency debt if growth rates of output of both countries are closely related and if domestic inflation is relatively uncertain it has an additional advantage if domestic debt creates time consistency problems