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Full-Text Articles in Physical Sciences and Mathematics
Essays On Collective Contests And Bargaining., Dhritiman Gupta Dr.
Essays On Collective Contests And Bargaining., Dhritiman Gupta Dr.
Doctoral Theses
This thesis consists of three theoretical essays in Microeconomics. The first two essays analyze the properties of a particular class of prize sharing rules groups may employ in a situation of a collective contest with another group, over a private good. The third essay studies a situation of multi-lateral bargaining, where a buyer wants to successfully bargain with multiple sellers, who own an input each, so that he can implement a grand project. The main focus of the thesis is to theorize about and generate hypotheses of the situations summarized above. In the first chapter, we consider a situation of …
Essays On Individual And Collective Powers In A Voting Body., Sonali Roy Dr.
Essays On Individual And Collective Powers In A Voting Body., Sonali Roy Dr.
Doctoral Theses
MotivationThe issue of measurement of voting power is a very important topic of discussion in social science these days. The concept of voting power concerns any collective decision making body (or, equivalently, a collectivity) which makes ‘yes’ or ‘no’ decisions on any issue, by the process of voting. Examples of such bodies abound in today’s world. The United Nations Security Council, The Council of Ministers in the European Union, the Parliament of the republic of India, the board room of any corporate house etc., are all examples of such decision making bodies.The voting process of each of these bodies is …
Essays On Minimum Cost Spanning Tree Games., Anirban Kar Dr.
Essays On Minimum Cost Spanning Tree Games., Anirban Kar Dr.
Doctoral Theses
There is a wide range of economic contexts in which aggregate costs have to be allocated amongst individual agents or components who derive t he benefits from a common project. A firm has to allocate overheard costs atmongst its different divisions. Regulatory authorities have to set taxes or fees on individual users for a variety of services. Partners in a joint venture must share costs (and benefits) of the joint venture. For example, when two doctors share an office they need to divide the cost of office space, medical equipment and secretarial help. If several municipalities use a common water …
Essays On Cooperative Behaviour And Collective Action., Anindya Bhattacharya Dr.
Essays On Cooperative Behaviour And Collective Action., Anindya Bhattacharya Dr.
Doctoral Theses
This dissertation explores some issues concerning the behaviour of coalitions of individuals in a game theoretic set-up and also studies one aspect of a society facing collective action of the masses. The common feature of the issues explored in the dissertation is that it investigates the properties of stable social states. Chapter 2 introduces a notion of a social state that is unlikely to be displaced by any coalition of agents endowed with a certain notion of rationality and a certain degree of farsightedness and explores the properties of such states. Chapter 3 is also concerned with coalitionally stable social …
Essays In Dynamic Games., Saikat Datta Dr.
Essays In Dynamic Games., Saikat Datta Dr.
Doctoral Theses
This thesis contains four essays which broadly come under the area of Dynamic Games. All the essays involve developments or applications of non-cooperative equilibrium concepts to games played over infinite horizons. The two essays in Chapter 2 and Chapter 3 involve the concept of renegotiation proof equilibriain repeated games. The essay in Chapter 4 discusses how a social norm of slow building of trust in bilateral relationships can be understood as a social equi- librium even in the absence of asymmetric information problems. Chapter 5, which represents joint work with Prabal Raychaudhuri, applies non-cooperative bargaining theory to a context where …
Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.
Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.
Doctoral Theses
A mathematical theory of Games of Strategy was born in several stages between 1928 and 1941. John von Neumann is known as its father. The culmination of the pioneering work of von Neumann and Morgenstern was the publication of the Theory of Games and Economic Behavior (Ref.28] in 1944. Ik is snid of the book . posterity may regard this book as one of the major scientifie achievements of the first half of the twentieth century. Emphasizing a new approach to competetive behaviour through a mathematical reduction to suitable games of strategy, this giant work laid bare a host of …
Studies In Set Theoretic Hierarchies:From Borel Sets To R-Sets., Rana Barua Dr.
Studies In Set Theoretic Hierarchies:From Borel Sets To R-Sets., Rana Barua Dr.
Doctoral Theses
The present thesis consists of three parts.Part I of the thesis is devoted to the study of regularity propertion of classes of sets obtained from 8-8 operations applied to the class of clopen set s. In particular, the classes of set s obtained by applying the hierarchy of increasingly complex R-operations {Rp,), are investing at ed. Our points of departure in this study are the recent works on R- sets by Hi nm an and Burgess. In this thesis we have unified the methods of Hinman and Burgess by extensively u sing the game quantifier and methods of inductive definability. …